## Physics: Principles with Applications (7th Edition)

Published by Pearson

# Chapter 26 - The Special Theory of Relativity - Misconceptual Questions: 2

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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