Momentum of a mass in motion

	Notation	Formulas
Mass	m	${\displaystyle m}$
Speed	v	${\displaystyle v}$
Moment	p	${\displaystyle mv}$
Impulse(Force)	F	${\displaystyle {\frac {p}{t}}}$
Work	W	${\displaystyle pv}$
Energy	E	${\displaystyle pa}$

Momentum of a relativistic mass in motion

Momentum refers to movement of a mass at a speed relative to the speed of light

	Notation	Formulas
Mass	m	${\displaystyle m_{0}(\gamma -1)}$
Speed	v	${\displaystyle \gamma ={\sqrt {1-{\frac {v^{2}}{C^{2}}}}}}$
Momentum	p	${\displaystyle mv}$
Force	F	${\displaystyle {\frac {p}{t}}}$
Work	W	${\displaystyle pv}$
Energy	E	${\displaystyle pa}$

Momentum of a massless quanta in motion

Momentum refers to movement of a mass at a speed equals to the speed of light

	Notation	Formulas
Speed	v	${\displaystyle \omega ={\sqrt {\frac {1}{\mu \epsilon }}}=C=\lambda f}$
Work	W	${\displaystyle pv=pC=p\lambda f=hf}$
Quanta	h	${\displaystyle p\lambda }$
Momentum	p	${\displaystyle {\frac {h}{\lambda }}}$
Wavelength		${\displaystyle {\frac {h}{p}}={\frac {C}{f}}}$

Momentum of electric charge

${\displaystyle QvB=m{\frac {v^{2}}{r}}}$

${\displaystyle r={\frac {mv}{QB}}}$

${\displaystyle v={\frac {Q}{m}}Br}$

Momentum of free electron

Absorbing photon, electron becomes free electron travels outward off the atom's circular orbit

${\displaystyle hf=hf_{o}+{\frac {1}{2}}mv^{2}}$

${\displaystyle v={\sqrt {{\frac {2}{m}}(hf-hf_{o})}}={\sqrt {{\frac {2}{m}}(nhf_{o})}}}$

Momentum of a bind electron

Releasing photon, electron becomes free electron travels inward off the circle orbit

${\displaystyle nhf=mvr2\pi }$

${\displaystyle r={\frac {1}{2\pi }}{\frac {nhf}{mv}}}$

${\displaystyle v={\frac {1}{2\pi }}{\frac {nhf}{mr}}}$

${\displaystyle n=2\pi r{\frac {mv}{hf}}}$