Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 36 - Relativity - Exercises and Problems - Page 1098: 13

Answer

Bolt 2 hit $~~2.0\times 10^{-5}~s~~$ earlier than bolt 1. The assistant agrees that bolt 2 hit $~~2.0\times 10^{-5}~s~~$ earlier than bolt 1.

Work Step by Step

We can find the time it takes the light from bolt 1 to reach you: $t = \frac{d}{c} = \frac{9000~m}{3.0\times 10^8~m/s} = 3.0\times 10^{-5}~s$ Since this light arrives at $t = 5.0\times 10^{-5}~s$, this bolt hit at $t_1 = 2.0\times 10^{-5}~s$ We can find the time it takes the light from bolt 2 to reach you: $t = \frac{d}{c} = \frac{3000~m}{3.0\times 10^8~m/s} = 1.0\times 10^{-5}~s$ Since this light arrives at $t = 1.0\times 10^{-5}~s$, this bolt hit at $t_2 = 0$ Therefore, bolt 2 hit $~~2.0\times 10^{-5}~s~~$ earlier than bolt 1. The assistant and you are in the same reference frame. Therefore, the assistant agrees that bolt 2 hit $~~2.0\times 10^{-5}~s~~$ earlier than bolt 1.
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