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 1250: 37.44


a 2.72 s. b. 1.19 s.

Work Step by Step

a. The interval, measured on the ship, is the proper time $\Delta t_o$. The pendulum at rest there. The value of $\gamma$ is $\frac{1}{\sqrt{1-u^{2}/c^{2}}}=1.51$. The mission control person measures a dilated time interval of $\gamma \Delta t_o =\gamma (1.80s)=2.72s$. b. If the dilated time interval were 1.80s, the proper time interval would be $\frac{1.80s}{\gamma}=1.19s$.
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