College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 26 - Problems - Page 1010: 8

Answer

The reports are sent to Earth every 24 hours according to Earth clocks.

Work Step by Step

Let $\Delta t_0$ be the interval in the spaceship frame. Let $\Delta t$ be the interval in the Earth frame. We can find the interval measured in the Earth frame: $\Delta t = \frac{\Delta t_0}{\sqrt{1-\frac{v^2}{c^2}}}$ $\Delta t = \frac{12~h}{\sqrt{1-\frac{(0.87~c)^2}{c^2}}}$ $\Delta t = \frac{12~h}{\sqrt{0.2431}}$ $\Delta t = 24~h$ The reports are sent to Earth every 24 hours according to Earth clocks.
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