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Relativistic Mechanics

Problem 1.370

A proton moves with a momentum p=10.0GeV/cp=10.0 \mathrm{GeV} / c, where cc is the velocity of light. How much (in per cent) does the proton velocity differ from the velocity of light?

Reveal Answer
(c−v)/c=1−[1+(m0c/p)2]−1/2=0.44%(c-v) / c=1-\left[1+\left(m_{0} c / p\right)^{2}\right]^{-1 / 2}=0.44 \%
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