relativity_8b - PHY2061 R. D. Field PHY2060 Review...

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PHY2061 R. D. Field Department of Physics relativity_8b.doc University of Florida Relativistic Kinetic Energy ( derivation ) Relativistic Force: The force is equal to the rate of chance of the (relativistic) momentum as follows: v dt dm dt v d m dt v m d dt p d F + = = = ) ( where 0 m m γ = is the relativistic mass. Relativistic Kinetic Energy: The kinetic energy of a particle is (as classical) the total work done in moving particle from rest to the speed v as follows: RME E c m mc dm c dm v dm v c dm v mvdv mv vd dx dt mv d Fdx KE m m m m = = = + = + = = = = 2 0 2 2 2 2 2 2 0 0 ) ) (( ) ( ) ( ) ( where I used ) / 1 ( 2 2 0 2 2 m m c v = and dm v c mvdv ) ( 2 2 = . Energy Momentum Connection:
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