Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 35 - Think and Solve: 43

Answer

5.03 minutes.

Work Step by Step

Find $\gamma$ at v = 0.10 c. It is $\frac{1}{\sqrt{1-v^{2}/c^{2}}}$, or $\frac{1}{\sqrt{1-0.10^{2}}}$, which is $\frac{1}{\sqrt{1-0.01}}=1.005$. The factor $\gamma$ is the time dilation factor. Multiplying 5 minutes by $\gamma$ gives 5.03 min.
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