Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 36 - Relativity - Exercises and Problems - Page 1059: 9

Answer

Bianca sees the flash from firecracker 2 at $~t = 2.999~ms$

Work Step by Step

We can find the time $t$ it took for the light from firecracker 1 to reach Bianca: $t = \frac{d}{c} = \frac{600~m}{3.0\times 10^8~m/s} = 2.0\times 10^{-6}~s$ We can find the time firecracker 1 exploded: $t_1 = (3.0\times 10^{-3}~s) -( 2.0\times 10^{-6}~s)$ $t_1 = 2.998~ms$ We can find the time $t$ it took for the light from firecracker 2 to reach Bianca: $t = \frac{d}{c} = \frac{300~m}{3.0\times 10^8~m/s} = 1.0\times 10^{-6}~s$ We can find the time Bianca sees the flash from firecracker 2: $t' = (2.998\times 10^{-3}~s) + (1.0\times 10^{-6}~s)$ $t' = 2.999~ms$
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