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# Intro_8 - velocity v m v m p r r r = = m m = Energy...

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PHY4604 R. D. Field Department of Physics Intro_8.doc University of Florida Relativistic Energy and Momentum ( Summary ) Relativistic Energy: The total relativistic energy is the sum of the kinetic energy ( energy of motion ) plus the rest mass energy ( RME = m 0 c 2 ). 2 0 c m KE RME KE E + = + = Also, the relativistic energy is equal to the relativistic mass, m, times c squared. 2 0 2 c m mc E γ = = with 0 m m γ = where 2 1 / 1 / β γ β = = c v . Relativistic Kinetic Energy: 2 0 1 2 0 2 0 2 0 2 2 1 ) 1 ( ) 1 ( v m c m KE c m c m mc RME E KE  → = = = = << β γ γ Relativistic Momentum: The relativistic momentum p is the relativistic mass, m, time the
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Unformatted text preview: velocity. v m v m p r r r = = m m = Energy Momentum Connection: 2 2 2 2 ) ( ) ( c m cp E + = with 2 2 2 z y x p p p p + + = Speed β of a particle: The speed of an object with rest mass m is given by 2 2 2 ) ( ) ( c m cp cp E cp c v + = = = . Relativistic Mass Mass of the object at rest Classical KE Relativistic energy and momentum are conserved!...
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