1

In the figure shown, the mass of m1 is 5.4 kg, and the mass of m2 is 3.2 kg. If the external force, Fext on m2 is 104 N, what is the tension in the connecting string? Assume no friction is present.
Forces 2 carts connected by string.jpg

a) 56.8 N
b) 65.3 N
c) 75.1 N
d) 86.4 N
e) 99.3 N

2

Referring to the previous problem (with m1 = 5.4 kg, m2 = 3.2 kg, and Fext = 104 N), what is the acceleration? Assume no friction is present.

a) 9.1 m/s2
b) 10.5 m/s2
c) 12.1 m/s2
d) 13.9 m/s2
e) 16 m/s2

3

Nine barefoot baseball players, with a total mass of 647 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.58 . The net mass of the (shoed) basketball team is 392 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.351
b) 0.387
c) 0.425
d) 0.468
e) 0.514

4

Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.23 . But the team wins a game of tug of war due to their superior mass of 638 kg. They are playing against a 5 person basketball team with a net mass of 415 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.321
b) 0.354
c) 0.389
d) 0.428
e) 0.471

5

In the figure shown, the mass of m1 is 6.6 kg, and the mass of m2 is 2.6 kg. If the external force, Fext on m2 is 126 N, what is the tension in the connecting string? Assume that m1 has a kinetic coefficient of friction equal to 0.37, and that for m2 the coefficient is 0.44 .

Forces 2 carts connected by string.jpg

a) 67.4 N
b) 77.5 N
c) 89.1 N
d) 102.5 N
e) 117.9 N

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