Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 26 - The Special Theory of Relativity - Problems - Page 768: 28

Answer

0.9497c.

Work Step by Step

The kinetic energy is given by equation 26–5b. Find $\gamma$. $$KE=1.12MeV=(\gamma-1)mc^2=(\gamma-1)(0.511MeV)$$ $$\gamma = 3.192$$ Use equation 26-2 to solve for the corresponding v. $$\gamma=\frac{1}{\sqrt{1-v^2/c^2}}=3.192$$ $$v/c=\sqrt{1-(1/\gamma)^2}=0.9497$$ $$v =0.9497c$$
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