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: vdtdmdtvdmdtvmddtpdF!!!!+===)(where 0mmγ=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:RMEEcmmcdmcdmvdmvcdmvmvdvmvvddxdtmvdFdxKEmmmm−=−==+−=+====∫∫∫∫∫∫2022222200))(()()()(where I used)/1(22022mmcv−=and dmvcmvdv)(22−=.Energy Momentum Connection:
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