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 - Misconceptual Questions - Page 766: 2

Answer

Choice C.

Work Step by Step

The value of $\gamma$ is $\frac{1}{\sqrt{1-\frac{v^{2}}{c^{2}}}}=1.15$. The space-dock personnel measure the dilated time interval of 1.0 s. This is always longer than the proper time. The proper time interval is shorter by a factor of $\gamma$, making it 0.87 s.
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