Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 37 - Relativity - Problems - Page 1148: 55c

Answer

$K/E_o=0.41$

Work Step by Step

Relativistic kinetic energy is equal to $$K=(\gamma-1)mc^2$$ Also, relativistic energy is equal to $$E=mc^2$$ Therefore, $K/E_o$ is equal to $K/E_o=\frac{(\gamma-1)mc^2}{mc^2}=\gamma-1$. Substituting $\gamma=1.41$ yields $K/E_o=1.41-1.00=0.41$.
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