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: 37.47

Answer

24 years.

Work Step by Step

The value of $\gamma$ is $\frac{1}{\sqrt{1-u^{2}/c^{2}}}=8.466$. To the astronaut, the trip appears to take a time of $\frac{42.2 ly}{(0.9930c) \gamma}=4.98 years$. She started at age 19, so ends up being age 24.
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