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 1248: 37.9

Answer

92.5 m.

Work Step by Step

The interval, measured on Coruscant with the ship stopped, is the proper length $\mathcal{l}_o$. The value of $\gamma$ is $\frac{1}{\sqrt{1-u^{2}/c^{2}}}=1.25$. The scientist originally measures a contracted length of $\frac{\mathcal{l}_o }{\gamma}=74.0 m$. Later she will measure $\mathcal{l}_o=(\gamma)(74.0m)=92.5 m$.
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