1) Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) Yes

b) No

3) What is the highest point the cart reaches if the speed was 2.4m/s, when the cart was situated at a height of 3.7m?,

a) 3.52 m

b) 3.70 m

c) 3.89 m

d) 4.08 m

e) 4.28 m

4) The spring constant is 612N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 1.59m, before coming to rest?

a) 0.401 kg

b) 0.421 kg

c) 0.442 kg

d) 0.464 kg

e) 0.487 kg

5) The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?

a) 1.72 m

b) 1.84 m

c) 1.96 m

d) 2.10 m

e) 2.25 m

6) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.49m/s.

b) 1.79m/s.

c) 2.15m/s.

d) 2.58m/s.

e) 3.09m/s.

7) A 169 gm bullet strikes a ballistic pendulum of mass 2.45 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 55 m/s.

b) 59 m/s.

c) 63 m/s.

d) 68 m/s.

e) 73 m/s.

8) A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 4.6kg is suspended at a length, L = 4.3m from the wall. What is the tension, T, in the string?

a) 1.80E+01 N

b) 2.26E+01 N

c) 2.85E+01 N

d) 3.59E+01 N

e) 4.52E+01 N

9) A massless bar of length, S = 7.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.7 degrees above the horizontal. An object of mass, M = 4.1kg is suspended at a length, L = 6.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.31E+01 N

b) 4.01E+01 N

c) 4.86E+01 N

d) 5.89E+01 N

e) 7.14E+01 N

10) A massless bar of length, S = 7.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30.4 degrees above the horizontal. An object of mass, M = 4.3kg is suspended at a length, L =4.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.34E+01 N

b) 1.63E+01 N

c) 1.97E+01 N

d) 2.39E+01 N

e) 2.89E+01 N

1) Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) Yes

b) No

3) The cart has a mass of 36.50kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.46m. If the spring constant was 594N/m, what was the initial compression?

a) 1.97 m

b) 2.11 m

c) 2.25 m

d) 2.41 m

e) 2.58 m

4) What is the highest point the cart reaches if the speed was 2.4m/s, when the cart was situated at a height of 3.7m?,

a) 3.52 m

b) 3.70 m

c) 3.89 m

d) 4.08 m

e) 4.28 m

5) A massless bar of length, S = 8.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.6 degrees above the horizontal. An object of mass, M = 7.4kg is suspended at a length, L = 6.2m from the wall. What is the tension, T, in the string?

a) 3.41E+01 N

b) 4.29E+01 N

c) 5.41E+01 N

d) 6.81E+01 N

e) 8.57E+01 N

6) A massless bar of length, S = 9.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 31.9 degrees above the horizontal. An object of mass, M = 5.7kg is suspended at a length, L =6.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.47E+01 N

b) 1.78E+01 N

c) 2.16E+01 N

d) 2.62E+01 N

e) 3.17E+01 N

7) A 169 gm bullet strikes a ballistic pendulum of mass 2.45 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 55 m/s.

b) 59 m/s.

c) 63 m/s.

d) 68 m/s.

e) 73 m/s.

8) The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?

a) 0.187 kg

b) 0.196 kg

c) 0.206 kg

d) 0.217 kg

e) 0.227 kg

9) On object of mass 2.7 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 20.75 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 2m/s.

b) 2.4m/s.

c) 2.88m/s.

d) 3.45m/s.

e) 4.14m/s.

10) A massless bar of length, S = 9.2m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.1 degrees above the horizontal. An object of mass, M = 3.5kg is suspended at a length, L = 6.2m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 2.71E+01 N

b) 3.29E+01 N

c) 3.98E+01 N

d) 4.83E+01 N

e) 5.85E+01 N

1) The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?

a) 1.85 m

b) 1.98 m

c) 2.12 m

d) 2.27 m

e) 2.43 m

2) Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) Yes

b) No

3) Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

a) Yes

b) No

4) On object of mass 2.6 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 18.17 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 2.88m/s.

b) 3.45m/s.

c) 4.15m/s.

d) 4.98m/s.

e) 5.97m/s.

5) A 159 gm bullet strikes a ballistic pendulum of mass 2.11 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 39 m/s.

b) 42 m/s.

c) 44 m/s.

d) 48 m/s.

e) 51 m/s.

6) A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 36.7 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L =4.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.18E+01 N

b) 1.43E+01 N

c) 1.73E+01 N

d) 2.09E+01 N

e) 2.54E+01 N

7) A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 24.3 degrees above the horizontal. An object of mass, M = 9kg is suspended at a length, L = 5.4m from the wall. What is the tension, T, in the string?

a) 1.29E+02 N

b) 1.62E+02 N

c) 2.04E+02 N

d) 2.57E+02 N

e) 3.23E+02 N

8) What is the highest point the cart reaches if the speed was 1.8m/s, when the cart was situated at a height of 3.8m?,

a) 3.28 m

b) 3.45 m

c) 3.62 m

d) 3.80 m

e) 3.99 m

9) The spring constant is 682N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 1.47m, before coming to rest?

a) 1.044 kg

b) 1.096 kg

c) 1.151 kg

d) 1.208 kg

e) 1.269 kg

10) A massless bar of length, S = 7.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.7 degrees above the horizontal. An object of mass, M = 4.1kg is suspended at a length, L = 6.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.31E+01 N

b) 4.01E+01 N

c) 4.86E+01 N

d) 5.89E+01 N

e) 7.14E+01 N

1) Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

3) What is the highest point the cart reaches if the speed was 2.2m/s, when the cart was situated at a height of 2.4m?,

a) 1.97 m

b) 2.07 m

c) 2.18 m

d) 2.29 m

e) 2.40 m

4) The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?

a) 1.85 m

b) 1.98 m

c) 2.12 m

d) 2.27 m

e) 2.43 m

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.291 m/s

b) 1.368 m/s

c) 1.450 m/s

d) 1.537 m/s

e) 1.630 m/s

6) A car of mass 571 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

a) 1334 kg

b) 1601 kg

c) 1921 kg

d) 2305 kg

e) 2766 kg

7) A 164 gm bullet strikes a ballistic pendulum of mass 2.48 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 54 m/s.

b) 58 m/s.

c) 62 m/s.

d) 66 m/s.

e) 70 m/s.

8) A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.6 degrees above the horizontal. An object of mass, M = 6kg is suspended at a length, L = 6m from the wall. What is the tension, T, in the string?

a) 3.57E+01 N

b) 4.50E+01 N

c) 5.66E+01 N

d) 7.13E+01 N

e) 8.98E+01 N

9) In the figure shown, L₁ = 6.6m, L₂ = 3.2m and L₃ = 7.8m. What is F₁ if F₂ =8.6N and F₃ =5.8N?

a) 1.10E+01 N

b) 1.34E+01 N

c) 1.62E+01 N

d) 1.96E+01 N

e) 2.38E+01 N

10) A massless bar of length, S = 8m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 35.4 degrees above the horizontal. An object of mass, M = 8.3kg is suspended at a length, L = 5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 7.15E+01 N

b) 8.67E+01 N

c) 1.05E+02 N

d) 1.27E+02 N

e) 1.54E+02 N

1) What is the highest point the cart reaches if the speed was 2.4m/s, when the cart was situated at a height of 3.4m?,

a) 3.24 m

b) 3.40 m

c) 3.57 m

d) 3.75 m

e) 3.94 m

2) A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 38.4 degrees above the horizontal. An object of mass, M = 7kg is suspended at a length, L = 4.2m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.06E+01 N

b) 3.71E+01 N

c) 4.49E+01 N

d) 5.44E+01 N

e) 6.60E+01 N

3) A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

a) 1427 kg

b) 1712 kg

c) 2055 kg

d) 2466 kg

e) 2959 kg

4) A 157 gm bullet strikes a ballistic pendulum of mass 2.22 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 47 m/s.

b) 51 m/s.

c) 54 m/s.

d) 58 m/s.

e) 62 m/s.

5) In the figure shown, L₁ = 5.5m, L₂ = 3.7m and L₃ = 8.2m. What is F₁ if F₂ =7.8N and F₃ =5.6N?

a) 9.26E+00 N

b) 1.12E+01 N

c) 1.36E+01 N

d) 1.65E+01 N

e) 2.00E+01 N

6) A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 31.1 degrees above the horizontal. An object of mass, M = 5.4kg is suspended at a length, L = 6.2m from the wall. What is the tension, T, in the string?

a) 3.93E+01 N

b) 4.95E+01 N

c) 6.23E+01 N

d) 7.84E+01 N

e) 9.87E+01 N

7) The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?

a) 1.72 m

b) 1.84 m

c) 1.96 m

d) 2.10 m

e) 2.25 m

8) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

9) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.084 m/s

b) 1.149 m/s

c) 1.218 m/s

d) 1.291 m/s

e) 1.368 m/s

10) Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

1) A 171 gm bullet strikes a ballistic pendulum of mass 2.41 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 41 m/s.

b) 44 m/s.

c) 47 m/s.

d) 50 m/s.

e) 54 m/s.

2) A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

a) 1427 kg

b) 1712 kg

c) 2055 kg

d) 2466 kg

e) 2959 kg

3) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.291 m/s

b) 1.368 m/s

c) 1.450 m/s

d) 1.537 m/s

e) 1.630 m/s

4) In the figure shown, L₁ = 6.9m, L₂ = 4.3m and L₃ = 8m. What is F₁ if F₂ =8.4N and F₃ =5.2N?

a) 7.67E+00 N

b) 9.30E+00 N

c) 1.13E+01 N

d) 1.36E+01 N

e) 1.65E+01 N

5) A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.9 degrees above the horizontal. An object of mass, M = 8.1kg is suspended at a length, L = 6.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 5.70E+01 N

b) 6.90E+01 N

c) 8.36E+01 N

d) 1.01E+02 N

e) 1.23E+02 N

6) The cart has a mass of 37.60kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.74m. If the spring constant was 534N/m, what was the initial compression?

a) 1.68 m

b) 1.79 m

c) 1.92 m

d) 2.05 m

e) 2.20 m

7) A massless bar of length, S = 9.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.6 degrees above the horizontal. An object of mass, M = 9.6kg is suspended at a length, L = 4.6m from the wall. What is the tension, T, in the string?

a) 6.83E+01 N

b) 8.59E+01 N

c) 1.08E+02 N

d) 1.36E+02 N

e) 1.71E+02 N

8) Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

9) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

10) What is the highest point the cart reaches if the speed was 2.2m/s, when the cart was situated at a height of 2.4m?,

a) 1.97 m

b) 2.07 m

c) 2.18 m

d) 2.29 m

e) 2.40 m

1) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

3) The mass of the cart is 4.0kg, and the spring constant is 9905N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest?

a) 1.26E+02 m

b) 1.33E+02 m

c) 1.39E+02 m

d) 1.46E+02 m

e) 1.54E+02 m

4) The cart has a mass of 42.40kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.08m. If the spring constant was 522N/m, what was the initial compression?

a) 1.46 m

b) 1.56 m

c) 1.67 m

d) 1.79 m

e) 1.92 m

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.291 m/s

b) 1.368 m/s

c) 1.450 m/s

d) 1.537 m/s

e) 1.630 m/s

6) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 741 kg

b) 889 kg

c) 1067 kg

d) 1280 kg

e) 1537 kg

7) A 159 gm bullet strikes a ballistic pendulum of mass 2.11 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 39 m/s.

b) 42 m/s.

c) 44 m/s.

d) 48 m/s.

e) 51 m/s.

8) A massless bar of length, S = 9.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.6 degrees above the horizontal. An object of mass, M = 9.6kg is suspended at a length, L = 4.6m from the wall. What is the tension, T, in the string?

a) 6.83E+01 N

b) 8.59E+01 N

c) 1.08E+02 N

d) 1.36E+02 N

e) 1.71E+02 N

9) In the figure shown, L₁ = 5.4m, L₂ = 3.3m and L₃ = 7.4m. What is F₁ if F₂ =7.5N and F₃ =5.4N?

a) 8.16E+00 N

b) 9.89E+00 N

c) 1.20E+01 N

d) 1.45E+01 N

e) 1.76E+01 N

10) A massless bar of length, S = 9.2m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.1 degrees above the horizontal. An object of mass, M = 3.5kg is suspended at a length, L = 6.2m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 2.71E+01 N

b) 3.29E+01 N

c) 3.98E+01 N

d) 4.83E+01 N

e) 5.85E+01 N

1) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.291 m/s

b) 1.368 m/s

c) 1.450 m/s

d) 1.537 m/s

e) 1.630 m/s

2) A car of mass 674 kg is driving on an icy road at a speed of 16 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

a) 801 kg

b) 961 kg

c) 1154 kg

d) 1385 kg

e) 1661 kg

3) A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.4 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.2m from the wall. What is the tension, T, in the string?

a) 1.07E+02 N

b) 1.35E+02 N

c) 1.70E+02 N

d) 2.14E+02 N

e) 2.70E+02 N

4) In the figure shown, L₁ = 6.5m, L₂ = 4.1m and L₃ = 7.5m. What is F₁ if F₂ =9N and F₃ =5.2N?

a) 9.64E+00 N

b) 1.17E+01 N

c) 1.41E+01 N

d) 1.71E+01 N

e) 2.08E+01 N

5) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

6) The mass of the cart is 3.0kg, and the spring constant is 7035N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 4.56E+02 m

b) 4.79E+02 m

c) 5.03E+02 m

d) 5.28E+02 m

e) 5.54E+02 m

7) A 171 gm bullet strikes a ballistic pendulum of mass 2.41 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 41 m/s.

b) 44 m/s.

c) 47 m/s.

d) 50 m/s.

e) 54 m/s.

8) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

9) A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28 degrees above the horizontal. An object of mass, M = 8.7kg is suspended at a length, L = 6.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 9.67E+01 N

b) 1.17E+02 N

c) 1.42E+02 N

d) 1.72E+02 N

e) 2.08E+02 N

10) The cart has a mass of 35.20kg. It is moving at a speed of 3.50m/s, when it is at a height of 2.34m. If the spring constant was 554N/m, what was the initial compression?

a) 1.92 m

b) 2.06 m

c) 2.20 m

d) 2.35 m

e) 2.52 m

1) The mass of the cart is 3.0kg, and the spring constant is 5128N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 2.87E+02 m

b) 3.01E+02 m

c) 3.16E+02 m

d) 3.32E+02 m

e) 3.49E+02 m

2) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.022 m/s

b) 1.084 m/s

c) 1.149 m/s

d) 1.218 m/s

e) 1.291 m/s

3) The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?

a) 1.85 m

b) 1.98 m

c) 2.12 m

d) 2.27 m

e) 2.43 m

4) A 191 gm bullet strikes a ballistic pendulum of mass 2.19 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 34 m/s.

b) 36 m/s.

c) 39 m/s.

d) 42 m/s.

e) 44 m/s.

5) A massless bar of length, S = 9.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.7 degrees above the horizontal. An object of mass, M = 6.2kg is suspended at a length, L = 5.6m from the wall. What is the tension, T, in the string?

a) 3.31E+01 N

b) 4.17E+01 N

c) 5.25E+01 N

d) 6.61E+01 N

e) 8.32E+01 N

6) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

a) 3326 kg

b) 3991 kg

c) 4789 kg

d) 5747 kg

e) 6896 kg

7) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

8) In the figure shown, L₁ = 5.9m, L₂ = 3.1m and L₃ = 7.4m. What is F₁ if F₂ =9.1N and F₃ =5.9N?

a) 8.30E+00 N

b) 1.01E+01 N

c) 1.22E+01 N

d) 1.48E+01 N

e) 1.79E+01 N

9) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

10) A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.9 degrees above the horizontal. An object of mass, M = 9.2kg is suspended at a length, L = 4.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 6.44E+01 N

b) 7.80E+01 N

c) 9.45E+01 N

d) 1.15E+02 N

e) 1.39E+02 N

1) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

a) Yes

b) No

3) The mass of the cart is 3.0kg, and the spring constant is 7685N/m. If the initial compression of the spring is 3.00m, how high does it reach before coming to rest?

a) 1.02E+03 m

b) 1.07E+03 m

c) 1.12E+03 m

d) 1.18E+03 m

e) 1.24E+03 m

4) The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?

a) 0.608 kg

b) 0.638 kg

c) 0.670 kg

d) 0.703 kg

e) 0.739 kg

5) The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?

a) 2.30 m

b) 2.46 m

c) 2.63 m

d) 2.82 m

e) 3.02 m

6) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.49m/s.

b) 1.79m/s.

c) 2.15m/s.

d) 2.58m/s.

e) 3.09m/s.

7) A car of mass 860 kg is driving on an icy road at a speed of 17 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

a) 1124 kg

b) 1348 kg

c) 1618 kg

d) 1942 kg

e) 2330 kg

8) In the figure shown, L₁ = 6.4m, L₂ = 4.3m and L₃ = 8.3m. What is F₁ if F₂ =7.1N and F₃ =5.2N?

a) 9.50E+00 N

b) 1.15E+01 N

c) 1.39E+01 N

d) 1.69E+01 N

e) 2.05E+01 N

9) A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.9 degrees above the horizontal. An object of mass, M = 6kg is suspended at a length, L = 4.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 4.20E+01 N

b) 5.08E+01 N

c) 6.16E+01 N

d) 7.46E+01 N

e) 9.04E+01 N

10) In the figure shown, L₁ = 6.5m, L₂ = 3.5m and L₃ = 8.8m. What is F₂ if F₁ =0.64N and F₃ =0N?

a) 6.68E-01 N

b) 8.10E-01 N

c) 9.81E-01 N

d) 1.19E+00 N

e) 1.44E+00 N

1) A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 36.8 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L = 4.9m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 4.20E+01 N

b) 5.09E+01 N

c) 6.17E+01 N

d) 7.47E+01 N

e) 9.05E+01 N

2) In the figure shown, L₁ = 6.3m, L₂ = 3.8m and L₃ = 8.6m. What is F₂ if F₁ =0.91N and F₃ =0.1N?

a) 5.95E-01 N

b) 7.21E-01 N

c) 8.74E-01 N

d) 1.06E+00 N

e) 1.28E+00 N

3) Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

a) Yes

b) No

4) On object of mass 2 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 25 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.29m/s.

b) 1.54m/s.

c) 1.85m/s.

d) 2.22m/s.

e) 2.67m/s.

5) A car of mass 796 kg is driving on an icy road at a speed of 18 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

a) 1134 kg

b) 1360 kg

c) 1632 kg

d) 1959 kg

e) 2351 kg

6) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

7) The mass of the cart is 4.0kg, and the spring constant is 5938N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?

a) 1.89E+03 m

b) 1.99E+03 m

c) 2.09E+03 m

d) 2.19E+03 m

e) 2.30E+03 m

8) In the figure shown, L₁ = 6.5m, L₂ = 4.1m and L₃ = 7.5m. What is F₁ if F₂ =9N and F₃ =5.2N?

a) 9.64E+00 N

b) 1.17E+01 N

c) 1.41E+01 N

d) 1.71E+01 N

e) 2.08E+01 N

9) The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?

a) 0.225 kg

b) 0.236 kg

c) 0.248 kg

d) 0.260 kg

e) 0.273 kg

10) The cart has a mass of 42.40kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.08m. If the spring constant was 522N/m, what was the initial compression?

a) 1.46 m

b) 1.56 m

c) 1.67 m

d) 1.79 m

e) 1.92 m

1) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

a) 3326 kg

b) 3991 kg

c) 4789 kg

d) 5747 kg

e) 6896 kg

2) The mass of the cart is 2.0kg, and the spring constant is 8128N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?

a) 4.26E+03 m

b) 4.48E+03 m

c) 4.70E+03 m

d) 4.94E+03 m

e) 5.18E+03 m

3) In the figure shown, L₁ = 6.6m, L₂ = 3.1m and L₃ = 8.8m. What is F₁ if F₂ =9.2N and F₃ =5.9N?

a) 5.66E+00 N

b) 6.85E+00 N

c) 8.30E+00 N

d) 1.01E+01 N

e) 1.22E+01 N

4) Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

a) Yes

b) No

5) On object of mass 2.6 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 18.17 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 2.88m/s.

b) 3.45m/s.

c) 4.15m/s.

d) 4.98m/s.

e) 5.97m/s.

6) A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 36.8 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L = 4.9m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 4.20E+01 N

b) 5.09E+01 N

c) 6.17E+01 N

d) 7.47E+01 N

e) 9.05E+01 N

7) The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?

a) 0.559 kg

b) 0.587 kg

c) 0.617 kg

d) 0.648 kg

e) 0.680 kg

8) In the figure shown, L₁ = 6.5m, L₂ = 3.5m and L₃ = 8.8m. What is F₂ if F₁ =0.64N and F₃ =0N?

a) 6.68E-01 N

b) 8.10E-01 N

c) 9.81E-01 N

d) 1.19E+00 N

e) 1.44E+00 N

9) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

10) The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?

a) 2.00 m

b) 2.14 m

c) 2.29 m

d) 2.45 m

e) 2.62 m

1) Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

a) Yes

b) No

3) If the initial velocity after leaving the spring is 7.70 m/s, how high does it reach before coming to rest?

a) 2.88 m

b) 3.02 m

c) 3.18 m

d) 3.34 m

e) 3.50 m

4) The spring constant is 594N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.66m, before coming to rest?

a) 1.268 kg

b) 1.331 kg

c) 1.397 kg

d) 1.467 kg

e) 1.541 kg

5) The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?

a) 1.79 m

b) 1.92 m

c) 2.05 m

d) 2.20 m

e) 2.35 m

6) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 22.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.06m/s.

b) 1.27m/s.

c) 1.53m/s.

d) 1.83m/s.

e) 2.2m/s.

7) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

a) 1507 kg

b) 1809 kg

c) 2170 kg

d) 2604 kg

e) 3125 kg

8) A massless bar of length, S = 7.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 27.7 degrees above the horizontal. An object of mass, M = 7.7kg is suspended at a length, L = 5.2m from the wall. What is the tension, T, in the string?

a) 1.08E+02 N

b) 1.36E+02 N

c) 1.72E+02 N

d) 2.16E+02 N

e) 2.72E+02 N

9) In the figure shown, L₁ = 6.3m, L₂ = 4.3m and L₃ = 8.5m. What is F₁ if F₂ =8.4N and F₃ =5.2N?

a) 1.27E+01 N

b) 1.54E+01 N

c) 1.87E+01 N

d) 2.27E+01 N

e) 2.75E+01 N

10) A massless bar of length, S = 7.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.6 degrees above the horizontal. An object of mass, M = 6.2kg is suspended at a length, L =4.2m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.28E+01 N

b) 2.76E+01 N

c) 3.35E+01 N

d) 4.05E+01 N

e) 4.91E+01 N

1) The spring constant is 612N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 1.59m, before coming to rest?

a) 0.401 kg

b) 0.421 kg

c) 0.442 kg

d) 0.464 kg

e) 0.487 kg

2) Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

a) Yes

b) No

3) In the figure shown, L₁ = 6.5m, L₂ = 4.1m and L₃ = 7.5m. What is F₁ if F₂ =9N and F₃ =5.2N?

a) 9.64E+00 N

b) 1.17E+01 N

c) 1.41E+01 N

d) 1.71E+01 N

e) 2.08E+01 N

4) A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 36 degrees above the horizontal. An object of mass, M = 7.4kg is suspended at a length, L =5.6m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.04E+01 N

b) 2.47E+01 N

c) 3.00E+01 N

d) 3.63E+01 N

e) 4.40E+01 N

5) If the initial velocity after leaving the spring is 7.70 m/s, how high does it reach before coming to rest?

a) 2.88 m

b) 3.02 m

c) 3.18 m

d) 3.34 m

e) 3.50 m

6) Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

a) Yes

b) No

7) The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?

a) 1.78 m

b) 1.90 m

c) 2.03 m

d) 2.18 m

e) 2.33 m

8) A massless bar of length, S = 9.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 29.5 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L = 6m from the wall. What is the tension, T, in the string?

a) 3.65E+01 N

b) 4.60E+01 N

c) 5.79E+01 N

d) 7.28E+01 N

e) 9.17E+01 N

9) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.32m/s.

b) 1.59m/s.

c) 1.91m/s.

d) 2.29m/s.

e) 2.75m/s.

10) A car of mass 860 kg is driving on an icy road at a speed of 17 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

a) 1124 kg

b) 1348 kg

c) 1618 kg

d) 1942 kg

e) 2330 kg

1) A car of mass 860 kg is driving on an icy road at a speed of 17 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

a) 1124 kg

b) 1348 kg

c) 1618 kg

d) 1942 kg

e) 2330 kg

2) The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?

a) 0.608 kg

b) 0.638 kg

c) 0.670 kg

d) 0.703 kg

e) 0.739 kg

3) A massless bar of length, S = 7.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.6 degrees above the horizontal. An object of mass, M = 6.2kg is suspended at a length, L =4.2m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.28E+01 N

b) 2.76E+01 N

c) 3.35E+01 N

d) 4.05E+01 N

e) 4.91E+01 N

4) Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

a) Yes

b) No

5) On object of mass 2.2 kg that is moving at a velocity of 28m/s collides with a stationary object of mass 18.48 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.72m/s.

b) 2.07m/s.

c) 2.48m/s.

d) 2.98m/s.

e) 3.57m/s.

6) In the figure shown, L₁ = 5.9m, L₂ = 3.1m and L₃ = 7.4m. What is F₁ if F₂ =9.1N and F₃ =5.9N?

a) 8.30E+00 N

b) 1.01E+01 N

c) 1.22E+01 N

d) 1.48E+01 N

e) 1.79E+01 N

7) The cart has a mass of 46.40kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.99m. If the spring constant was 500N/m, what was the initial compression?

a) 2.39 m

b) 2.56 m

c) 2.74 m

d) 2.93 m

e) 3.14 m

8) A massless bar of length, S = 8.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30.9 degrees above the horizontal. An object of mass, M = 9.2kg is suspended at a length, L = 5.3m from the wall. What is the tension, T, in the string?

a) 8.50E+01 N

b) 1.07E+02 N

c) 1.35E+02 N

d) 1.70E+02 N

e) 2.13E+02 N

9) If the initial velocity after leaving the spring is 7.90 m/s, how high does it reach before coming to rest?

a) 2.62 m

b) 2.75 m

c) 2.89 m

d) 3.03 m

e) 3.18 m

10) Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

a) Yes

b) No

1) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes

b) No

3) The mass of the cart is 4.0kg, and the spring constant is 5240N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

a) 1.07E+03 m

b) 1.12E+03 m

c) 1.18E+03 m

d) 1.24E+03 m

e) 1.30E+03 m

4) The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?

a) 1.143 kg

b) 1.200 kg

c) 1.260 kg

d) 1.323 kg

e) 1.389 kg

5) The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?

a) 2.00 m

b) 2.14 m

c) 2.29 m

d) 2.45 m

e) 2.62 m

6) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.32m/s.

b) 1.59m/s.

c) 1.91m/s.

d) 2.29m/s.

e) 2.75m/s.

7) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 2435 kg

b) 2922 kg

c) 3507 kg

d) 4208 kg

e) 5049 kg

8) A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.4 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.2m from the wall. What is the tension, T, in the string?

a) 1.07E+02 N

b) 1.35E+02 N

c) 1.70E+02 N

d) 2.14E+02 N

e) 2.70E+02 N

9) In the figure shown, L₁ = 6.4m, L₂ = 4.3m and L₃ = 8.3m. What is F₁ if F₂ =7.1N and F₃ =5.2N?

a) 9.50E+00 N

b) 1.15E+01 N

c) 1.39E+01 N

d) 1.69E+01 N

e) 2.05E+01 N

10) In the figure shown, L₁ = 6.3m, L₂ = 3.8m and L₃ = 8.6m. What is F₂ if F₁ =0.91N and F₃ =0.1N?

a) 5.95E-01 N

b) 7.21E-01 N

c) 8.74E-01 N

d) 1.06E+00 N

e) 1.28E+00 N

1) Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes

b) No

2) A massless bar of length, S = 7.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 27.7 degrees above the horizontal. An object of mass, M = 7.7kg is suspended at a length, L = 5.2m from the wall. What is the tension, T, in the string?

a) 1.08E+02 N

b) 1.36E+02 N

c) 1.72E+02 N

d) 2.16E+02 N

e) 2.72E+02 N

3) In the figure shown, L₁ = 5.9m, L₂ = 3.7m and L₃ = 8.5m. What is F₂ if F₁ =0.81N and F₃ =0.1N?

a) 7.23E-01 N

b) 8.76E-01 N

c) 1.06E+00 N

d) 1.29E+00 N

e) 1.56E+00 N

4) The mass of the cart is 3.0kg, and the spring constant is 6073N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

a) 1.57E+03 m

b) 1.65E+03 m

c) 1.74E+03 m

d) 1.82E+03 m

e) 1.91E+03 m

5) On object of mass 2 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 25 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.29m/s.

b) 1.54m/s.

c) 1.85m/s.

d) 2.22m/s.

e) 2.67m/s.

6) A car of mass 806 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

a) 1883 kg

b) 2259 kg

c) 2711 kg

d) 3253 kg

e) 3904 kg

7) The spring constant is 755N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 3.12m, before coming to rest?

a) 0.494 kg

b) 0.519 kg

c) 0.544 kg

d) 0.572 kg

e) 0.600 kg

8) In the figure shown, L₁ = 6.4m, L₂ = 3.5m and L₃ = 7.3m. What is F₁ if F₂ =8.8N and F₃ =5.9N?

a) 9.53E+00 N

b) 1.15E+01 N

c) 1.40E+01 N

d) 1.69E+01 N

e) 2.05E+01 N

9) The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression?

a) 2.46 m

b) 2.63 m

c) 2.81 m

d) 3.01 m

e) 3.22 m

10) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

1) A car of mass 841 kg is driving on an icy road at a speed of 21 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

a) 1622 kg

b) 1947 kg

c) 2336 kg

d) 2803 kg

e) 3364 kg

2) A massless bar of length, S = 7.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 27.7 degrees above the horizontal. An object of mass, M = 7.7kg is suspended at a length, L = 5.2m from the wall. What is the tension, T, in the string?

a) 1.08E+02 N

b) 1.36E+02 N

c) 1.72E+02 N

d) 2.16E+02 N

e) 2.72E+02 N

3) In the figure shown, L₁ = 6.8m, L₂ = 4.8m and L₃ = 7.9m. What is F₂ if F₁ =0.56N and F₃ =0N?

a) 6.55E-01 N

b) 7.93E-01 N

c) 9.61E-01 N

d) 1.16E+00 N

e) 1.41E+00 N

4) The mass of the cart is 3.0kg, and the spring constant is 7035N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 4.56E+02 m

b) 4.79E+02 m

c) 5.03E+02 m

d) 5.28E+02 m

e) 5.54E+02 m

5) The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?

a) 0.608 kg

b) 0.638 kg

c) 0.670 kg

d) 0.703 kg

e) 0.739 kg

6) The cart has a mass of 44.40kg. It is moving at a speed of 3.10m/s, when it is at a height of 2.47m. If the spring constant was 682N/m, what was the initial compression?

a) 1.48 m

b) 1.59 m

c) 1.70 m

d) 1.82 m

e) 1.94 m

7) On object of mass 2 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 25 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.29m/s.

b) 1.54m/s.

c) 1.85m/s.

d) 2.22m/s.

e) 2.67m/s.

8) Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes

b) No

9) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

10) In the figure shown, L₁ = 5.6m, L₂ = 4.3m and L₃ = 8.3m. What is F₁ if F₂ =8.6N and F₃ =6.3N?

a) 7.40E+00 N

b) 8.96E+00 N

c) 1.09E+01 N

d) 1.32E+01 N

e) 1.59E+01 N

1) Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

3) What is the highest point the cart reaches if the speed was 1.8m/s, when the cart was situated at a height of 2.5m?,

a) 2.50 m

b) 2.63 m

c) 2.76 m

d) 2.89 m

e) 3.04 m

4) The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?

a) 0.225 kg

b) 0.236 kg

c) 0.248 kg

d) 0.260 kg

e) 0.273 kg

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.084 m/s

b) 1.149 m/s

c) 1.218 m/s

d) 1.291 m/s

e) 1.368 m/s

6) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.49m/s.

b) 1.79m/s.

c) 2.15m/s.

d) 2.58m/s.

e) 3.09m/s.

7) A car of mass 806 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

a) 1883 kg

b) 2259 kg

c) 2711 kg

d) 3253 kg

e) 3904 kg

8) A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.6 degrees above the horizontal. An object of mass, M = 3.9kg is suspended at a length, L = 6.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.10E+01 N

b) 3.76E+01 N

c) 4.55E+01 N

d) 5.51E+01 N

e) 6.68E+01 N

9) In the figure shown, L₁ = 6.5m, L₂ = 3.5m and L₃ = 8.8m. What is F₂ if F₁ =0.64N and F₃ =0N?

a) 6.68E-01 N

b) 8.10E-01 N

c) 9.81E-01 N

d) 1.19E+00 N

e) 1.44E+00 N

10) A massless bar of length, S = 8.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.8 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L =4.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.96E+01 N

b) 2.38E+01 N

c) 2.88E+01 N

d) 3.49E+01 N

e) 4.23E+01 N

1) The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?

a) 0.225 kg

b) 0.236 kg

c) 0.248 kg

d) 0.260 kg

e) 0.273 kg

2) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

3) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 17.52 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.93m/s.

b) 2.32m/s.

c) 2.79m/s.

d) 3.34m/s.

e) 4.01m/s.

4) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.149 m/s

b) 1.218 m/s

c) 1.291 m/s

d) 1.368 m/s

e) 1.450 m/s

5) A massless bar of length, S = 9.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 31.9 degrees above the horizontal. An object of mass, M = 5.7kg is suspended at a length, L =6.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.47E+01 N

b) 1.78E+01 N

c) 2.16E+01 N

d) 2.62E+01 N

e) 3.17E+01 N

6) Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) Yes

b) No

7) What is the highest point the cart reaches if the speed was 2.6m/s, when the cart was situated at a height of 3.7m?,

a) 3.52 m

b) 3.70 m

c) 3.89 m

d) 4.08 m

e) 4.28 m

8) In the figure shown, L₁ = 5.9m, L₂ = 3.7m and L₃ = 8.5m. What is F₂ if F₁ =0.81N and F₃ =0.1N?

a) 7.23E-01 N

b) 8.76E-01 N

c) 1.06E+00 N

d) 1.29E+00 N

e) 1.56E+00 N

9) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

a) 3326 kg

b) 3991 kg

c) 4789 kg

d) 5747 kg

e) 6896 kg

10) A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28 degrees above the horizontal. An object of mass, M = 8.7kg is suspended at a length, L = 6.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 9.67E+01 N

b) 1.17E+02 N

c) 1.42E+02 N

d) 1.72E+02 N

e) 2.08E+02 N

1) In the figure shown, L₁ = 6.3m, L₂ = 3.8m and L₃ = 8.6m. What is F₂ if F₁ =0.91N and F₃ =0.1N?

a) 5.95E-01 N

b) 7.21E-01 N

c) 8.74E-01 N

d) 1.06E+00 N

e) 1.28E+00 N

2) A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30.7 degrees above the horizontal. An object of mass, M = 5.2kg is suspended at a length, L = 5.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.05E+01 N

b) 3.69E+01 N

c) 4.47E+01 N

d) 5.42E+01 N

e) 6.56E+01 N

3) A car of mass 571 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

a) 1334 kg

b) 1601 kg

c) 1921 kg

d) 2305 kg

e) 2766 kg

4) The spring constant is 640N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.07m, before coming to rest?

a) 0.307 kg

b) 0.322 kg

c) 0.338 kg

d) 0.355 kg

e) 0.373 kg

5) On object of mass 2.7 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 20.75 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 2m/s.

b) 2.4m/s.

c) 2.88m/s.

d) 3.45m/s.

e) 4.14m/s.

6) What is the highest point the cart reaches if the speed was 1.8m/s, when the cart was situated at a height of 3.8m?,

a) 3.28 m

b) 3.45 m

c) 3.62 m

d) 3.80 m

e) 3.99 m

7) A massless bar of length, S = 7.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30 degrees above the horizontal. An object of mass, M = 6.4kg is suspended at a length, L =6.5m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.05E+01 N

b) 1.27E+01 N

c) 1.53E+01 N

d) 1.86E+01 N

e) 2.25E+01 N

8) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.291 m/s

b) 1.368 m/s

c) 1.450 m/s

d) 1.537 m/s

e) 1.630 m/s

9) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

10) Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) Yes

b) No

1) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

3) If the initial velocity after leaving the spring is 9.60 m/s, how high does it reach before coming to rest?

a) 4.26 m

b) 4.48 m

c) 4.70 m

d) 4.94 m

e) 5.18 m

4) The spring constant is 752N/m, and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.95m, before coming to rest?

a) 0.421 kg

b) 0.442 kg

c) 0.465 kg

d) 0.488 kg

e) 0.512 kg

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.291 m/s

b) 1.368 m/s

c) 1.450 m/s

d) 1.537 m/s

e) 1.630 m/s

6) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 17.52 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.93m/s.

b) 2.32m/s.

c) 2.79m/s.

d) 3.34m/s.

e) 4.01m/s.

7) A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 44 m/s.

b) 47 m/s.

c) 50 m/s.

d) 54 m/s.

e) 57 m/s.

8) A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.6 degrees above the horizontal. An object of mass, M = 6kg is suspended at a length, L = 6m from the wall. What is the tension, T, in the string?

a) 3.57E+01 N

b) 4.50E+01 N

c) 5.66E+01 N

d) 7.13E+01 N

e) 8.98E+01 N

9) In the figure shown, L₁ = 5.6m, L₂ = 4.3m and L₃ = 8.3m. What is F₁ if F₂ =8.6N and F₃ =6.3N?

a) 7.40E+00 N

b) 8.96E+00 N

c) 1.09E+01 N

d) 1.32E+01 N

e) 1.59E+01 N

10) In the figure shown, L₁ = 6.4m, L₂ = 3.7m and L₃ = 8.2m. What is F₂ if F₁ =0.56N and F₃ =0N?

a) 9.69E-01 N

b) 1.17E+00 N

c) 1.42E+00 N

d) 1.72E+00 N

e) 2.09E+00 N

1) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.32m/s.

b) 1.59m/s.

c) 1.91m/s.

d) 2.29m/s.

e) 2.75m/s.

2) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

3) If the initial velocity after leaving the spring is 5.90 m/s, how high does it reach before coming to rest?

a) 1.69 m

b) 1.78 m

c) 1.86 m

d) 1.96 m

e) 2.06 m

4) In the figure shown, L₁ = 5.8m, L₂ = 3.5m and L₃ = 7.8m. What is F₁ if F₂ =7.3N and F₃ =5.3N?

a) 7.86E+00 N

b) 9.52E+00 N

c) 1.15E+01 N

d) 1.40E+01 N

e) 1.69E+01 N

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.218 m/s

b) 1.291 m/s

c) 1.368 m/s

d) 1.450 m/s

e) 1.537 m/s

6) A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.2 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L = 4.4m from the wall. What is the tension, T, in the string?

a) 1.93E+01 N

b) 2.43E+01 N

c) 3.06E+01 N

d) 3.86E+01 N

e) 4.86E+01 N

7) In the figure shown, L₁ = 6.1m, L₂ = 3.2m and L₃ = 7.2m. What is F₂ if F₁ =0.77N and F₃ =0N?

a) 8.25E-01 N

b) 1.00E+00 N

c) 1.21E+00 N

d) 1.47E+00 N

e) 1.78E+00 N

8) The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?

a) 0.608 kg

b) 0.638 kg

c) 0.670 kg

d) 0.703 kg

e) 0.739 kg

9) Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

10) A 191 gm bullet strikes a ballistic pendulum of mass 2.19 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 34 m/s.

b) 36 m/s.

c) 39 m/s.

d) 42 m/s.

e) 44 m/s.

1) The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?

a) 0.201 kg

b) 0.211 kg

c) 0.222 kg

d) 0.233 kg

e) 0.244 kg

2) Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

a) Yes

b) No

3) Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

4) In the figure shown, L₁ = 5.5m, L₂ = 3.5m and L₃ = 8.3m. What is F₂ if F₁ =0.92N and F₃ =0.1N?

a) 8.23E-01 N

b) 9.98E-01 N

c) 1.21E+00 N

d) 1.46E+00 N

e) 1.77E+00 N

5) A massless bar of length, S = 8.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.5 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string?

a) 3.59E+01 N

b) 4.52E+01 N

c) 5.69E+01 N

d) 7.16E+01 N

e) 9.02E+01 N

6) In the figure shown, L₁ = 5.4m, L₂ = 3.3m and L₃ = 7.4m. What is F₁ if F₂ =7.5N and F₃ =5.4N?

a) 8.16E+00 N

b) 9.89E+00 N

c) 1.20E+01 N

d) 1.45E+01 N

e) 1.76E+01 N

7) A 167 gm bullet strikes a ballistic pendulum of mass 2.28 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 43 m/s.

b) 46 m/s.

c) 49 m/s.

d) 52 m/s.

e) 56 m/s.

8) If the initial velocity after leaving the spring is 9.60 m/s, how high does it reach before coming to rest?

a) 4.26 m

b) 4.48 m

c) 4.70 m

d) 4.94 m

e) 5.18 m

9) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 22.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.06m/s.

b) 1.27m/s.

c) 1.53m/s.

d) 1.83m/s.

e) 2.2m/s.

10) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.149 m/s

b) 1.218 m/s

c) 1.291 m/s

d) 1.368 m/s

e) 1.450 m/s

1) Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

3) If the initial velocity after leaving the spring is 5.30 m/s, how high does it reach before coming to rest?

a) 1.24 m

b) 1.30 m

c) 1.36 m

d) 1.43 m

e) 1.50 m

4) The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?

a) 0.608 kg

b) 0.638 kg

c) 0.670 kg

d) 0.703 kg

e) 0.739 kg

5) The cart has a mass of 31.20kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.10m. If the spring constant was 649N/m, what was the initial compression?

a) 1.23 m

b) 1.32 m

c) 1.41 m

d) 1.51 m

e) 1.62 m

6) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.36 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.62m/s.

b) 1.95m/s.

c) 2.34m/s.

d) 2.8m/s.

e) 3.36m/s.

7) A car of mass 841 kg is driving on an icy road at a speed of 21 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

a) 1622 kg

b) 1947 kg

c) 2336 kg

d) 2803 kg

e) 3364 kg

8) A massless bar of length, S = 9.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.7 degrees above the horizontal. An object of mass, M = 6.2kg is suspended at a length, L = 5.6m from the wall. What is the tension, T, in the string?

a) 3.31E+01 N

b) 4.17E+01 N

c) 5.25E+01 N

d) 6.61E+01 N

e) 8.32E+01 N

9) In the figure shown, L₁ = 6.9m, L₂ = 4m and L₃ = 8.4m. What is F₂ if F₁ =0.99N and F₃ =0.1N?

a) 1.50E+00 N

b) 1.81E+00 N

c) 2.20E+00 N

d) 2.66E+00 N

e) 3.23E+00 N

10) A massless bar of length, S = 9.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.4 degrees above the horizontal. An object of mass, M = 3.5kg is suspended at a length, L =5.6m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 9.45E+00 N

b) 1.14E+01 N

c) 1.39E+01 N

d) 1.68E+01 N

e) 2.04E+01 N

1) Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) Yes

b) No

2) The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?

a) 0.225 kg

b) 0.236 kg

c) 0.248 kg

d) 0.260 kg

e) 0.273 kg

3) In the figure shown, L₁ = 6.4m, L₂ = 3.9m and L₃ = 8.1m. What is F₂ if F₁ =0.72N and F₃ =0.1N?

a) 6.63E-01 N

b) 8.04E-01 N

c) 9.74E-01 N

d) 1.18E+00 N

e) 1.43E+00 N

4) A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 24.3 degrees above the horizontal. An object of mass, M = 9kg is suspended at a length, L = 5.4m from the wall. What is the tension, T, in the string?

a) 1.29E+02 N

b) 1.62E+02 N

c) 2.04E+02 N

d) 2.57E+02 N

e) 3.23E+02 N

5) Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

6) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 2435 kg

b) 2922 kg

c) 3507 kg

d) 4208 kg

e) 5049 kg

7) On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.95m/s.

b) 2.34m/s.

c) 2.81m/s.

d) 3.38m/s.

e) 4.05m/s.

8) If the initial velocity after leaving the spring is 6.50 m/s, how high does it reach before coming to rest?

a) 1.96 m

b) 2.05 m

c) 2.16 m

d) 2.26 m

e) 2.38 m

9) The cart has a mass of 44.40kg. It is moving at a speed of 3.10m/s, when it is at a height of 2.47m. If the spring constant was 682N/m, what was the initial compression?

a) 1.48 m

b) 1.59 m

c) 1.70 m

d) 1.82 m

e) 1.94 m

10) A massless bar of length, S = 7.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30.4 degrees above the horizontal. An object of mass, M = 4.3kg is suspended at a length, L =4.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.34E+01 N

b) 1.63E+01 N

c) 1.97E+01 N

d) 2.39E+01 N

e) 2.89E+01 N

1) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 2435 kg

b) 2922 kg

c) 3507 kg

d) 4208 kg

e) 5049 kg

2) A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.2 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L = 4.4m from the wall. What is the tension, T, in the string?

a) 1.93E+01 N

b) 2.43E+01 N

c) 3.06E+01 N

d) 3.86E+01 N

e) 4.86E+01 N

3) In the figure shown, L₁ = 5.1m, L₂ = 4.8m and L₃ = 7.4m. What is F₂ if F₁ =0.56N and F₃ =0N?

a) 4.91E-01 N

b) 5.95E-01 N

c) 7.21E-01 N

d) 8.73E-01 N

e) 1.06E+00 N

4) The spring constant is 755N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 3.12m, before coming to rest?

a) 0.494 kg

b) 0.519 kg

c) 0.544 kg

d) 0.572 kg

e) 0.600 kg

5) Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

6) The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?

a) 1.72 m

b) 1.84 m

c) 1.97 m

d) 2.11 m

e) 2.26 m

7) A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26 degrees above the horizontal. An object of mass, M = 8.5kg is suspended at a length, L =6.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.46E+01 N

b) 1.77E+01 N

c) 2.14E+01 N

d) 2.60E+01 N

e) 3.15E+01 N

8) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.36 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.62m/s.

b) 1.95m/s.

c) 2.34m/s.

d) 2.8m/s.

e) 3.36m/s.

9) Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) Yes

b) No

10) If the initial velocity after leaving the spring is 6.70 m/s, how high does it reach before coming to rest?

a) 2.29 m

b) 2.40 m

c) 2.53 m

d) 2.65 m

e) 2.78 m

1) Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) Yes

b) No

3) The mass of the cart is 3.0kg, and the spring constant is 8959N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

a) 2.21E+03 m

b) 2.32E+03 m

c) 2.44E+03 m

d) 2.56E+03 m

e) 2.69E+03 m

4) The spring constant is 615N/m, and the initial compression is 0.12m. What is the mass if the cart reaches a height of 2.74m, before coming to rest?

a) 0.157 kg

b) 0.165 kg

c) 0.173 kg

d) 0.182 kg

e) 0.191 kg

5) The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?

a) 2.30 m

b) 2.46 m

c) 2.63 m

d) 2.82 m

e) 3.02 m

6) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 2435 kg

b) 2922 kg

c) 3507 kg

d) 4208 kg

e) 5049 kg

7) A 164 gm bullet strikes a ballistic pendulum of mass 2.48 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 54 m/s.

b) 58 m/s.

c) 62 m/s.

d) 66 m/s.

e) 70 m/s.

8) A massless bar of length, S = 8.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 29.9 degrees above the horizontal. An object of mass, M = 8kg is suspended at a length, L = 5.9m from the wall. What is the tension, T, in the string?

a) 6.81E+01 N

b) 8.57E+01 N

c) 1.08E+02 N

d) 1.36E+02 N

e) 1.71E+02 N

9) In the figure shown, L₁ = 6.5m, L₂ = 4.1m and L₃ = 7.5m. What is F₁ if F₂ =9N and F₃ =5.2N?

a) 9.64E+00 N

b) 1.17E+01 N

c) 1.41E+01 N

d) 1.71E+01 N

e) 2.08E+01 N

10) In the figure shown, L₁ = 6.9m, L₂ = 4m and L₃ = 8.4m. What is F₂ if F₁ =0.99N and F₃ =0.1N?

a) 1.50E+00 N

b) 1.81E+00 N

c) 2.20E+00 N

d) 2.66E+00 N

e) 3.23E+00 N

1) The cart has a mass of 42.40kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.08m. If the spring constant was 522N/m, what was the initial compression?

a) 1.46 m

b) 1.56 m

c) 1.67 m

d) 1.79 m

e) 1.92 m

2) Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

3) In the figure shown, L₁ = 5.3m, L₂ = 4.3m and L₃ = 8m. What is F₁ if F₂ =7.6N and F₃ =5.9N?

a) 1.03E+01 N

b) 1.24E+01 N

c) 1.51E+01 N

d) 1.83E+01 N

e) 2.21E+01 N

4) The mass of the cart is 4.0kg, and the spring constant is 6611N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 3.37E+02 m

b) 3.54E+02 m

c) 3.72E+02 m

d) 3.90E+02 m

e) 4.10E+02 m

5) Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) Yes

b) No

6) A 167 gm bullet strikes a ballistic pendulum of mass 2.28 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 43 m/s.

b) 46 m/s.

c) 49 m/s.

d) 52 m/s.

e) 56 m/s.

7) A car of mass 860 kg is driving on an icy road at a speed of 17 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

a) 1124 kg

b) 1348 kg

c) 1618 kg

d) 1942 kg

e) 2330 kg

8) The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?

a) 0.225 kg

b) 0.236 kg

c) 0.248 kg

d) 0.260 kg

e) 0.273 kg

9) A massless bar of length, S = 8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 29 degrees above the horizontal. An object of mass, M = 8.1kg is suspended at a length, L = 4.4m from the wall. What is the tension, T, in the string?

a) 3.59E+01 N

b) 4.51E+01 N

c) 5.68E+01 N

d) 7.15E+01 N

e) 9.01E+01 N

10) In the figure shown, L₁ = 5.5m, L₂ = 3.5m and L₃ = 8.3m. What is F₂ if F₁ =0.92N and F₃ =0.1N?

a) 8.23E-01 N

b) 9.98E-01 N

c) 1.21E+00 N

d) 1.46E+00 N

e) 1.77E+00 N

1) In the figure shown, L₁ = 6.4m, L₂ = 3.9m and L₃ = 8.1m. What is F₂ if F₁ =0.72N and F₃ =0.1N?

a) 6.63E-01 N

b) 8.04E-01 N

c) 9.74E-01 N

d) 1.18E+00 N

e) 1.43E+00 N

2) In the figure shown, L₁ = 6.4m, L₂ = 3.2m and L₃ = 8.3m. What is F₁ if F₂ =8.5N and F₃ =6.5N?

a) 5.89E+00 N

b) 7.13E+00 N

c) 8.64E+00 N

d) 1.05E+01 N

e) 1.27E+01 N

3) The cart has a mass of 44.40kg. It is moving at a speed of 3.10m/s, when it is at a height of 2.47m. If the spring constant was 682N/m, what was the initial compression?

a) 1.48 m

b) 1.59 m

c) 1.70 m

d) 1.82 m

e) 1.94 m

4) Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

5) A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.6 degrees above the horizontal. An object of mass, M = 6.4kg is suspended at a length, L = 6.1m from the wall. What is the tension, T, in the string?

a) 4.48E+01 N

b) 5.63E+01 N

c) 7.09E+01 N

d) 8.93E+01 N

e) 1.12E+02 N

6) A 169 gm bullet strikes a ballistic pendulum of mass 2.45 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 55 m/s.

b) 59 m/s.

c) 63 m/s.

d) 68 m/s.

e) 73 m/s.

7) The mass of the cart is 3.0kg, and the spring constant is 7685N/m. If the initial compression of the spring is 3.00m, how high does it reach before coming to rest?

a) 1.02E+03 m

b) 1.07E+03 m

c) 1.12E+03 m

d) 1.18E+03 m

e) 1.24E+03 m

8) A car of mass 571 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

a) 1334 kg

b) 1601 kg

c) 1921 kg

d) 2305 kg

e) 2766 kg

9) Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) Yes

b) No

10) The spring constant is 755N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 3.12m, before coming to rest?

a) 0.494 kg

b) 0.519 kg

c) 0.544 kg

d) 0.572 kg

e) 0.600 kg

1) Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

3) The mass of the cart is 3.0kg, and the spring constant is 5128N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 2.87E+02 m

b) 3.01E+02 m

c) 3.16E+02 m

d) 3.32E+02 m

e) 3.49E+02 m

4) The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?

a) 1.443 kg

b) 1.515 kg

c) 1.591 kg

d) 1.671 kg

e) 1.754 kg

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.084 m/s

b) 1.149 m/s

c) 1.218 m/s

d) 1.291 m/s

e) 1.368 m/s

6) On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.95m/s.

b) 2.34m/s.

c) 2.81m/s.

d) 3.38m/s.

e) 4.05m/s.

7) A car of mass 674 kg is driving on an icy road at a speed of 16 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

a) 801 kg

b) 961 kg

c) 1154 kg

d) 1385 kg

e) 1661 kg

8) A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.7 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string?

a) 1.82E+01 N

b) 2.29E+01 N

c) 2.89E+01 N

d) 3.63E+01 N

e) 4.57E+01 N

9) In the figure shown, L₁ = 6.6m, L₂ = 4.4m and L₃ = 7.4m. What is F₂ if F₁ =0.93N and F₃ =0N?

a) 6.48E-01 N

b) 7.84E-01 N

c) 9.50E-01 N

d) 1.15E+00 N

e) 1.39E+00 N

10) A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 36.7 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L =4.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.18E+01 N

b) 1.43E+01 N

c) 1.73E+01 N

d) 2.09E+01 N

e) 2.54E+01 N

1) A massless bar of length, S = 7.3m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 27.3 degrees above the horizontal. An object of mass, M = 9.1kg is suspended at a length, L =5.3m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.44E+01 N

b) 2.96E+01 N

c) 3.59E+01 N

d) 4.34E+01 N

e) 5.26E+01 N

2) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 17.52 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.93m/s.

b) 2.32m/s.

c) 2.79m/s.

d) 3.34m/s.

e) 4.01m/s.

3) A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 29.9 degrees above the horizontal. An object of mass, M = 8.6kg is suspended at a length, L = 5m from the wall. What is the tension, T, in the string?

a) 8.81E+01 N

b) 1.11E+02 N

c) 1.40E+02 N

d) 1.76E+02 N

e) 2.21E+02 N

4) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 2435 kg

b) 2922 kg

c) 3507 kg

d) 4208 kg

e) 5049 kg

5) The mass of the cart is 3.0kg, and the spring constant is 8219N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest?

a) 1.33E+02 m

b) 1.40E+02 m

c) 1.47E+02 m

d) 1.54E+02 m

e) 1.62E+02 m

6) In the figure shown, L₁ = 5.1m, L₂ = 4.8m and L₃ = 7.4m. What is F₂ if F₁ =0.56N and F₃ =0N?

a) 4.91E-01 N

b) 5.95E-01 N

c) 7.21E-01 N

d) 8.73E-01 N

e) 1.06E+00 N

7) Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

8) The spring constant is 615N/m, and the initial compression is 0.12m. What is the mass if the cart reaches a height of 2.74m, before coming to rest?

a) 0.157 kg

b) 0.165 kg

c) 0.173 kg

d) 0.182 kg

e) 0.191 kg

9) Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

a) Yes

b) No

10) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.022 m/s

b) 1.084 m/s

c) 1.149 m/s

d) 1.218 m/s

e) 1.291 m/s

1) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.218 m/s

b) 1.291 m/s

c) 1.368 m/s

d) 1.450 m/s

e) 1.537 m/s

2) The spring constant is 620N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.45m, before coming to rest?

a) 0.750 kg

b) 0.788 kg

c) 0.827 kg

d) 0.868 kg

e) 0.912 kg

3) In the figure shown, L₁ = 6.1m, L₂ = 4m and L₃ = 7.5m. What is F₂ if F₁ =0.74N and F₃ =0N?

a) 6.35E-01 N

b) 7.69E-01 N

c) 9.31E-01 N

d) 1.13E+00 N

e) 1.37E+00 N

4) A massless bar of length, S = 7.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32.7 degrees above the horizontal. An object of mass, M = 8.5kg is suspended at a length, L =5.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.82E+01 N

b) 2.20E+01 N

c) 2.67E+01 N

d) 3.23E+01 N

e) 3.91E+01 N

5) The mass of the cart is 4.0kg, and the spring constant is 5938N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?

a) 1.89E+03 m

b) 1.99E+03 m

c) 2.09E+03 m

d) 2.19E+03 m

e) 2.30E+03 m

6) A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 31.1 degrees above the horizontal. An object of mass, M = 5.4kg is suspended at a length, L = 6.2m from the wall. What is the tension, T, in the string?

a) 3.93E+01 N

b) 4.95E+01 N

c) 6.23E+01 N

d) 7.84E+01 N

e) 9.87E+01 N

7) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 22.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.06m/s.

b) 1.27m/s.

c) 1.53m/s.

d) 1.83m/s.

e) 2.2m/s.

8) Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

a) Yes

b) No

9) Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

10) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 741 kg

b) 889 kg

c) 1067 kg

d) 1280 kg

e) 1537 kg

1) Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) Yes

b) No

3) The mass of the cart is 3.0kg, and the spring constant is 6073N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

a) 1.57E+03 m

b) 1.65E+03 m

c) 1.74E+03 m

d) 1.82E+03 m

e) 1.91E+03 m

4) The cart has a mass of 44.40kg. It is moving at a speed of 3.10m/s, when it is at a height of 2.47m. If the spring constant was 682N/m, what was the initial compression?

a) 1.48 m

b) 1.59 m

c) 1.70 m

d) 1.82 m

e) 1.94 m

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.149 m/s

b) 1.218 m/s

c) 1.291 m/s

d) 1.368 m/s

e) 1.450 m/s

6) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.36 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.62m/s.

b) 1.95m/s.

c) 2.34m/s.

d) 2.8m/s.

e) 3.36m/s.

7) A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 44 m/s.

b) 47 m/s.

c) 50 m/s.

d) 54 m/s.

e) 57 m/s.

8) In the figure shown, L₁ = 6.7m, L₂ = 3.7m and L₃ = 7.9m. What is F₁ if F₂ =7.2N and F₃ =5.4N?

a) 1.03E+01 N

b) 1.25E+01 N

c) 1.52E+01 N

d) 1.84E+01 N

e) 2.23E+01 N

9) A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30.7 degrees above the horizontal. An object of mass, M = 5.2kg is suspended at a length, L = 5.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.05E+01 N

b) 3.69E+01 N

c) 4.47E+01 N

d) 5.42E+01 N

e) 6.56E+01 N

10) In the figure shown, L₁ = 6.9m, L₂ = 4.4m and L₃ = 8.2m. What is F₂ if F₁ =0.96N and F₃ =0.1N?

a) 7.42E-01 N

b) 8.99E-01 N

c) 1.09E+00 N

d) 1.32E+00 N

e) 1.60E+00 N

1) A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.9 degrees above the horizontal. An object of mass, M = 9.2kg is suspended at a length, L = 4.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 6.44E+01 N

b) 7.80E+01 N

c) 9.45E+01 N

d) 1.15E+02 N

e) 1.39E+02 N

2) The mass of the cart is 3.0kg, and the spring constant is 5128N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 2.87E+02 m

b) 3.01E+02 m

c) 3.16E+02 m

d) 3.32E+02 m

e) 3.49E+02 m

3) A 164 gm bullet strikes a ballistic pendulum of mass 2.48 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 54 m/s.

b) 58 m/s.

c) 62 m/s.

d) 66 m/s.

e) 70 m/s.

4) The cart has a mass of 36.30kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.33m. If the spring constant was 677N/m, what was the initial compression?

a) 1.69 m

b) 1.81 m

c) 1.93 m

d) 2.07 m

e) 2.21 m

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.084 m/s

b) 1.149 m/s

c) 1.218 m/s

d) 1.291 m/s

e) 1.368 m/s

6) In the figure shown, L₁ = 6.6m, L₂ = 3.1m and L₃ = 8.8m. What is F₁ if F₂ =9.2N and F₃ =5.9N?

a) 5.66E+00 N

b) 6.85E+00 N

c) 8.30E+00 N

d) 1.01E+01 N

e) 1.22E+01 N

7) Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

a) Yes

b) No

8) Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) Yes

b) No

9) In the figure shown, L₁ = 6.4m, L₂ = 3.7m and L₃ = 8.4m. What is F₂ if F₁ =0.7N and F₃ =0N?

a) 5.62E-01 N

b) 6.81E-01 N

c) 8.25E-01 N

d) 9.99E-01 N

e) 1.21E+00 N

10) On object of mass 2.9 kg that is moving at a velocity of 21m/s collides with a stationary object of mass 12.6 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 3.93m/s.

b) 4.71m/s.

c) 5.66m/s.

d) 6.79m/s.

e) 8.15m/s.

1) In the figure shown, L₁ = 5.5m, L₂ = 3.7m and L₃ = 8.6m. What is F₂ if F₁ =0.51N and F₃ =0N?

a) 4.26E-01 N

b) 5.16E-01 N

c) 6.26E-01 N

d) 7.58E-01 N

e) 9.18E-01 N

2) In the figure shown, L₁ = 5.3m, L₂ = 4.3m and L₃ = 8m. What is F₁ if F₂ =7.6N and F₃ =5.9N?

a) 1.03E+01 N

b) 1.24E+01 N

c) 1.51E+01 N

d) 1.83E+01 N

e) 2.21E+01 N

3) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.49m/s.

b) 1.79m/s.

c) 2.15m/s.

d) 2.58m/s.

e) 3.09m/s.

4) A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.9 degrees above the horizontal. An object of mass, M = 8.4kg is suspended at a length, L = 4.9m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 7.06E+01 N

b) 8.56E+01 N

c) 1.04E+02 N

d) 1.26E+02 N

e) 1.52E+02 N

5) The mass of the cart is 3.0kg, and the spring constant is 8219N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest?

a) 1.33E+02 m

b) 1.40E+02 m

c) 1.47E+02 m

d) 1.54E+02 m

e) 1.62E+02 m

6) Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

a) Yes

b) No

7) Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

a) Yes

b) No

8) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.218 m/s

b) 1.291 m/s

c) 1.368 m/s

d) 1.450 m/s

e) 1.537 m/s

9) A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 44 m/s.

b) 47 m/s.

c) 50 m/s.

d) 54 m/s.

e) 57 m/s.

10) The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?

a) 1.79 m

b) 1.92 m

c) 2.05 m

d) 2.20 m

e) 2.35 m

1) Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

3) If the initial velocity after leaving the spring is 6.50 m/s, how high does it reach before coming to rest?

a) 1.96 m

b) 2.05 m

c) 2.16 m

d) 2.26 m

e) 2.38 m

4) The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?

a) 2.00 m

b) 2.14 m

c) 2.29 m

d) 2.45 m

e) 2.62 m

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.022 m/s

b) 1.084 m/s

c) 1.149 m/s

d) 1.218 m/s

e) 1.291 m/s

6) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 741 kg

b) 889 kg

c) 1067 kg

d) 1280 kg

e) 1537 kg

7) A 191 gm bullet strikes a ballistic pendulum of mass 2.19 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 34 m/s.

b) 36 m/s.

c) 39 m/s.

d) 42 m/s.

e) 44 m/s.

8) In the figure shown, L₁ = 5.5m, L₂ = 3.7m and L₃ = 8.2m. What is F₁ if F₂ =7.8N and F₃ =5.6N?

a) 9.26E+00 N

b) 1.12E+01 N

c) 1.36E+01 N

d) 1.65E+01 N

e) 2.00E+01 N

9) A massless bar of length, S = 9.2m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.6 degrees above the horizontal. An object of mass, M = 9.2kg is suspended at a length, L = 4.9m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 4.25E+01 N

b) 5.15E+01 N

c) 6.24E+01 N

d) 7.55E+01 N

e) 9.15E+01 N

10) A massless bar of length, S = 7.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.6 degrees above the horizontal. An object of mass, M = 6.2kg is suspended at a length, L =4.2m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.28E+01 N

b) 2.76E+01 N

c) 3.35E+01 N

d) 4.05E+01 N

e) 4.91E+01 N

1) A 195 gm bullet strikes a ballistic pendulum of mass 2.13 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 32 m/s.

b) 35 m/s.

c) 37 m/s.

d) 40 m/s.

e) 43 m/s.

2) A massless bar of length, S = 7.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32.7 degrees above the horizontal. An object of mass, M = 8.5kg is suspended at a length, L =5.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.82E+01 N

b) 2.20E+01 N

c) 2.67E+01 N

d) 3.23E+01 N

e) 3.91E+01 N

3) A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 7.50E+01 N

b) 9.09E+01 N

c) 1.10E+02 N

d) 1.33E+02 N

e) 1.62E+02 N

4) Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

5) In the figure shown, L₁ = 6.5m, L₂ = 4.1m and L₃ = 7.5m. What is F₁ if F₂ =9N and F₃ =5.2N?

a) 9.64E+00 N

b) 1.17E+01 N

c) 1.41E+01 N

d) 1.71E+01 N

e) 2.08E+01 N

6) If the initial velocity after leaving the spring is 9.50 m/s, how high does it reach before coming to rest?

a) 3.98 m

b) 4.18 m

c) 4.39 m

d) 4.60 m

e) 4.83 m

7) Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes

b) No

8) A car of mass 571 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

a) 1334 kg

b) 1601 kg

c) 1921 kg

d) 2305 kg

e) 2766 kg

9) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.084 m/s

b) 1.149 m/s

c) 1.218 m/s

d) 1.291 m/s

e) 1.368 m/s

10) The cart has a mass of 40.30kg. It is moving at a speed of 3.40m/s, when it is at a height of 3.59m. If the spring constant was 539N/m, what was the initial compression?

a) 2.47 m

b) 2.65 m

c) 2.83 m

d) 3.03 m

e) 3.24 m

1) A massless bar of length, S = 9.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 24.6 degrees above the horizontal. An object of mass, M = 3.5kg is suspended at a length, L = 5.4m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.03E+01 N

b) 3.67E+01 N

c) 4.45E+01 N

d) 5.39E+01 N

e) 6.53E+01 N

2) A 167 gm bullet strikes a ballistic pendulum of mass 2.28 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 43 m/s.

b) 46 m/s.

c) 49 m/s.

d) 52 m/s.

e) 56 m/s.

3) A car of mass 571 kg is driving on an icy road at a speed of 24 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.5 m/s. What was the mass of the truck?

a) 1334 kg

b) 1601 kg

c) 1921 kg

d) 2305 kg

e) 2766 kg

4) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.022 m/s

b) 1.084 m/s

c) 1.149 m/s

d) 1.218 m/s

e) 1.291 m/s

5) Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes

b) No

6) A massless bar of length, S = 7.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 31.4 degrees above the horizontal. An object of mass, M = 5.7kg is suspended at a length, L =6.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 6.83E+00 N

b) 8.28E+00 N

c) 1.00E+01 N

d) 1.21E+01 N

e) 1.47E+01 N

7) The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?

a) 2.00 m

b) 2.14 m

c) 2.29 m

d) 2.45 m

e) 2.62 m

8) Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

9) In the figure shown, L₁ = 5.6m, L₂ = 4.3m and L₃ = 8.3m. What is F₁ if F₂ =8.6N and F₃ =6.3N?

a) 7.40E+00 N

b) 8.96E+00 N

c) 1.09E+01 N

d) 1.32E+01 N

e) 1.59E+01 N

10) If the initial velocity after leaving the spring is 5.90 m/s, how high does it reach before coming to rest?

a) 1.69 m

b) 1.78 m

c) 1.86 m

d) 1.96 m

e) 2.06 m

1) Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes

b) No

3) If the initial velocity after leaving the spring is 6.50 m/s, how high does it reach before coming to rest?

a) 1.96 m

b) 2.05 m

c) 2.16 m

d) 2.26 m

e) 2.38 m

4) The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?

a) 0.187 kg

b) 0.196 kg

c) 0.206 kg

d) 0.217 kg

e) 0.227 kg

5) The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?

a) 1.79 m

b) 1.92 m

c) 2.05 m

d) 2.20 m

e) 2.35 m

6) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

a) 3326 kg

b) 3991 kg

c) 4789 kg

d) 5747 kg

e) 6896 kg

7) A 164 gm bullet strikes a ballistic pendulum of mass 2.48 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 54 m/s.

b) 58 m/s.

c) 62 m/s.

d) 66 m/s.

e) 70 m/s.

8) A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.9 degrees above the horizontal. An object of mass, M = 8.4kg is suspended at a length, L = 4.9m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 7.06E+01 N

b) 8.56E+01 N

c) 1.04E+02 N

d) 1.26E+02 N

e) 1.52E+02 N

9) In the figure shown, L₁ = 6.5m, L₂ = 3.5m and L₃ = 8.8m. What is F₂ if F₁ =0.64N and F₃ =0N?

a) 6.68E-01 N

b) 8.10E-01 N

c) 9.81E-01 N

d) 1.19E+00 N

e) 1.44E+00 N

10) A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 27.4 degrees above the horizontal. An object of mass, M = 7.1kg is suspended at a length, L =5.2m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.70E+01 N

b) 3.27E+01 N

c) 3.96E+01 N

d) 4.79E+01 N

e) 5.81E+01 N

1) The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression?

a) 2.46 m

b) 2.63 m

c) 2.81 m

d) 3.01 m

e) 3.22 m

2) A car of mass 636 kg is driving on an icy road at a speed of 22 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.2 m/s. What was the mass of the truck?

a) 1427 kg

b) 1712 kg

c) 2055 kg

d) 2466 kg

e) 2959 kg

3) A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L =5.5m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.13E+01 N

b) 2.59E+01 N

c) 3.13E+01 N

d) 3.80E+01 N

e) 4.60E+01 N

4) Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes

b) No

5) If the initial velocity after leaving the spring is 7.90 m/s, how high does it reach before coming to rest?

a) 2.62 m

b) 2.75 m

c) 2.89 m

d) 3.03 m

e) 3.18 m

6) A 157 gm bullet strikes a ballistic pendulum of mass 2.22 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 47 m/s.

b) 51 m/s.

c) 54 m/s.

d) 58 m/s.

e) 62 m/s.

7) The spring constant is 640N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.07m, before coming to rest?

a) 0.307 kg

b) 0.322 kg

c) 0.338 kg

d) 0.355 kg

e) 0.373 kg

8) A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.9 degrees above the horizontal. An object of mass, M = 9.2kg is suspended at a length, L = 4.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 6.44E+01 N

b) 7.80E+01 N

c) 9.45E+01 N

d) 1.15E+02 N

e) 1.39E+02 N

9) Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

a) Yes

b) No

10) In the figure shown, L₁ = 5.2m, L₂ = 4.5m and L₃ = 8.6m. What is F₂ if F₁ =0.86N and F₃ =0.1N?

a) 3.73E-01 N

b) 4.51E-01 N

c) 5.47E-01 N

d) 6.63E-01 N

e) 8.03E-01 N

1) A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.9 degrees above the horizontal. An object of mass, M = 8.1kg is suspended at a length, L = 6.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 5.70E+01 N

b) 6.90E+01 N

c) 8.36E+01 N

d) 1.01E+02 N

e) 1.23E+02 N

2) The cart has a mass of 46.40kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.99m. If the spring constant was 500N/m, what was the initial compression?

a) 2.39 m

b) 2.56 m

c) 2.74 m

d) 2.93 m

e) 3.14 m

3) The spring constant is 640N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.07m, before coming to rest?

a) 0.307 kg

b) 0.322 kg

c) 0.338 kg

d) 0.355 kg

e) 0.373 kg

4) Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

a) Yes

b) No

5) A 157 gm bullet strikes a ballistic pendulum of mass 2.22 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 47 m/s.

b) 51 m/s.

c) 54 m/s.

d) 58 m/s.

e) 62 m/s.

6) If the initial velocity after leaving the spring is 7.60 m/s, how high does it reach before coming to rest?

a) 2.42 m

b) 2.55 m

c) 2.67 m

d) 2.81 m

e) 2.95 m

7) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 741 kg

b) 889 kg

c) 1067 kg

d) 1280 kg

e) 1537 kg

8) In the figure shown, L₁ = 6.6m, L₂ = 4.4m and L₃ = 7.4m. What is F₂ if F₁ =0.93N and F₃ =0N?

a) 6.48E-01 N

b) 7.84E-01 N

c) 9.50E-01 N

d) 1.15E+00 N

e) 1.39E+00 N

9) Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

a) Yes

b) No

10) A massless bar of length, S = 9.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26 degrees above the horizontal. An object of mass, M = 9.1kg is suspended at a length, L =5.6m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 3.20E+01 N

b) 3.87E+01 N

c) 4.69E+01 N

d) 5.69E+01 N

e) 6.89E+01 N

1) Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

3) What is the highest point the cart reaches if the speed was 2.4m/s, when the cart was situated at a height of 3.4m?,

a) 3.24 m

b) 3.40 m

c) 3.57 m

d) 3.75 m

e) 3.94 m

4) The spring constant is 623N/m, and the initial compression is 0.24m. What is the mass if the cart reaches a height of 1.43m, before coming to rest?

a) 1.053 kg

b) 1.106 kg

c) 1.161 kg

d) 1.219 kg

e) 1.280 kg

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.149 m/s

b) 1.218 m/s

c) 1.291 m/s

d) 1.368 m/s

e) 1.450 m/s

6) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 22.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.06m/s.

b) 1.27m/s.

c) 1.53m/s.

d) 1.83m/s.

e) 2.2m/s.

7) A car of mass 674 kg is driving on an icy road at a speed of 16 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

a) 801 kg

b) 961 kg

c) 1154 kg

d) 1385 kg

e) 1661 kg

8) A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 31.2 degrees above the horizontal. An object of mass, M = 4.8kg is suspended at a length, L = 5.5m from the wall. What is the tension, T, in the string?

a) 5.95E+01 N

b) 7.49E+01 N

c) 9.42E+01 N

d) 1.19E+02 N

e) 1.49E+02 N

9) In the figure shown, L₁ = 6.5m, L₂ = 3.2m and L₃ = 8.8m. What is F₁ if F₂ =9.3N and F₃ =5.9N?

a) 8.56E+00 N

b) 1.04E+01 N

c) 1.26E+01 N

d) 1.52E+01 N

e) 1.84E+01 N

10) A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 24.8 degrees above the horizontal. An object of mass, M = 8.9kg is suspended at a length, L = 5.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 9.31E+01 N

b) 1.13E+02 N

c) 1.37E+02 N

d) 1.65E+02 N

e) 2.01E+02 N

1) The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?

a) 0.187 kg

b) 0.196 kg

c) 0.206 kg

d) 0.217 kg

e) 0.227 kg

2) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.149 m/s

b) 1.218 m/s

c) 1.291 m/s

d) 1.368 m/s

e) 1.450 m/s

3) Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) Yes

b) No

4) A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.6 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L = 5.7m from the wall. What is the tension, T, in the string?

a) 4.34E+01 N

b) 5.47E+01 N

c) 6.89E+01 N

d) 8.67E+01 N

e) 1.09E+02 N

5) In the figure shown, L₁ = 6.3m, L₂ = 4.3m and L₃ = 8.5m. What is F₁ if F₂ =8.4N and F₃ =5.2N?

a) 1.27E+01 N

b) 1.54E+01 N

c) 1.87E+01 N

d) 2.27E+01 N

e) 2.75E+01 N

6) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

7) A massless bar of length, S = 7.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.6 degrees above the horizontal. An object of mass, M = 3.5kg is suspended at a length, L = 5.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.32E+01 N

b) 4.02E+01 N

c) 4.87E+01 N

d) 5.90E+01 N

e) 7.15E+01 N

8) On object of mass 2 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 25 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.29m/s.

b) 1.54m/s.

c) 1.85m/s.

d) 2.22m/s.

e) 2.67m/s.

9) A car of mass 841 kg is driving on an icy road at a speed of 21 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

a) 1622 kg

b) 1947 kg

c) 2336 kg

d) 2803 kg

e) 3364 kg

10) What is the highest point the cart reaches if the speed was 1.5m/s, when the cart was situated at a height of 3.3m?,

a) 3.14 m

b) 3.30 m

c) 3.46 m

d) 3.64 m

e) 3.82 m

1) In the figure shown, L₁ = 5.4m, L₂ = 3.3m and L₃ = 7.4m. What is F₁ if F₂ =7.5N and F₃ =5.4N?

a) 8.16E+00 N

b) 9.89E+00 N

c) 1.20E+01 N

d) 1.45E+01 N

e) 1.76E+01 N

2) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

3) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.022 m/s

b) 1.084 m/s

c) 1.149 m/s

d) 1.218 m/s

e) 1.291 m/s

4) The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?

a) 0.201 kg

b) 0.211 kg

c) 0.222 kg

d) 0.233 kg

e) 0.244 kg

5) A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28 degrees above the horizontal. An object of mass, M = 8.7kg is suspended at a length, L = 6.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 9.67E+01 N

b) 1.17E+02 N

c) 1.42E+02 N

d) 1.72E+02 N

e) 2.08E+02 N

6) On object of mass 2.9 kg that is moving at a velocity of 21m/s collides with a stationary object of mass 12.6 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 3.93m/s.

b) 4.71m/s.

c) 5.66m/s.

d) 6.79m/s.

e) 8.15m/s.

7) Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

a) Yes

b) No

8) What is the highest point the cart reaches if the speed was 2.4m/s, when the cart was situated at a height of 3.7m?,

a) 3.52 m

b) 3.70 m

c) 3.89 m

d) 4.08 m

e) 4.28 m

9) A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.4 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.2m from the wall. What is the tension, T, in the string?

a) 1.07E+02 N

b) 1.35E+02 N

c) 1.70E+02 N

d) 2.14E+02 N

e) 2.70E+02 N

10) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

a) 1507 kg

b) 1809 kg

c) 2170 kg

d) 2604 kg

e) 3125 kg

1) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

2) Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

3) The mass of the cart is 3.0kg, and the spring constant is 5128N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 2.87E+02 m

b) 3.01E+02 m

c) 3.16E+02 m

d) 3.32E+02 m

e) 3.49E+02 m

4) The spring constant is 630N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 1.26m, before coming to rest?

a) 1.312 kg

b) 1.377 kg

c) 1.446 kg

d) 1.518 kg

e) 1.594 kg

5) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.291 m/s

b) 1.368 m/s

c) 1.450 m/s

d) 1.537 m/s

e) 1.630 m/s

6) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 17.52 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.93m/s.

b) 2.32m/s.

c) 2.79m/s.

d) 3.34m/s.

e) 4.01m/s.

7) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 741 kg

b) 889 kg

c) 1067 kg

d) 1280 kg

e) 1537 kg

8) A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.6 degrees above the horizontal. An object of mass, M = 6.4kg is suspended at a length, L = 6.1m from the wall. What is the tension, T, in the string?

a) 4.48E+01 N

b) 5.63E+01 N

c) 7.09E+01 N

d) 8.93E+01 N

e) 1.12E+02 N

9) In the figure shown, L₁ = 6.7m, L₂ = 3.7m and L₃ = 7.9m. What is F₁ if F₂ =7.2N and F₃ =5.4N?

a) 1.03E+01 N

b) 1.25E+01 N

c) 1.52E+01 N

d) 1.84E+01 N

e) 2.23E+01 N

10) A massless bar of length, S = 7.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.3 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L = 5.2m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 4.57E+01 N

b) 5.54E+01 N

c) 6.71E+01 N

d) 8.13E+01 N

e) 9.85E+01 N

1) A car of mass 860 kg is driving on an icy road at a speed of 17 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.9 m/s. What was the mass of the truck?

a) 1124 kg

b) 1348 kg

c) 1618 kg

d) 1942 kg

e) 2330 kg

2) In the figure shown, L₁ = 6.4m, L₂ = 3.2m and L₃ = 8.3m. What is F₁ if F₂ =8.5N and F₃ =6.5N?

a) 5.89E+00 N

b) 7.13E+00 N

c) 8.64E+00 N

d) 1.05E+01 N

e) 1.27E+01 N

3) Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No

4) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.291 m/s

b) 1.368 m/s

c) 1.450 m/s

d) 1.537 m/s

e) 1.630 m/s

5) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

6) The mass of the cart is 3.0kg, and the spring constant is 7941N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 5.14E+02 m

b) 5.40E+02 m

c) 5.67E+02 m

d) 5.96E+02 m

e) 6.25E+02 m

7) A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28 degrees above the horizontal. An object of mass, M = 8.7kg is suspended at a length, L = 6.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 9.67E+01 N

b) 1.17E+02 N

c) 1.42E+02 N

d) 1.72E+02 N

e) 2.08E+02 N

8) The spring constant is 620N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.45m, before coming to rest?

a) 0.750 kg

b) 0.788 kg

c) 0.827 kg

d) 0.868 kg

e) 0.912 kg

9) A massless bar of length, S = 9.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.6 degrees above the horizontal. An object of mass, M = 9.6kg is suspended at a length, L = 4.6m from the wall. What is the tension, T, in the string?

a) 6.83E+01 N

b) 8.59E+01 N

c) 1.08E+02 N

d) 1.36E+02 N

e) 1.71E+02 N

10) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 17.52 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.93m/s.

b) 2.32m/s.

c) 2.79m/s.

d) 3.34m/s.

e) 4.01m/s.

1) A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 4.6kg is suspended at a length, L = 4.3m from the wall. What is the tension, T, in the string?

a) 1.80E+01 N

b) 2.26E+01 N

c) 2.85E+01 N

d) 3.59E+01 N

e) 4.52E+01 N

2) Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

a) Yes

b) No

3) In the figure shown, L₁ = 5.6m, L₂ = 4.3m and L₃ = 8.3m. What is F₁ if F₂ =8.6N and F₃ =6.3N?

a) 7.40E+00 N

b) 8.96E+00 N

c) 1.09E+01 N

d) 1.32E+01 N

e) 1.59E+01 N

4) Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

a) Yes

b) No