University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 37 - Relativity - Problems - Exercises - Page 1248: 37.8


a. The spacecraft. b. u/c = 0.9968.

Work Step by Step

a. The spacecraft clock measures the proper time $\Delta t_o$. It shows the shorter elapsed time. You measure a dilated time interval of $\gamma \Delta t_o $. b. The problem asks for a speed such that the value of $\gamma$ is $\frac{1}{\sqrt{1-u^{2}/c^{2}}}=\frac{0.150s}{12.0\times10^{-3}s}=12.55$. $u/c=\sqrt{1-(1/12.5)^2}=0.9968$
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