Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 5 - Dynamics of Uniform Circular Motion - Check Your Understanding - Page 133: 11

Answer

The radius of the satellite in orbit around Mars is smaller than that around Jupiter.

Work Step by Step

The orbital speed of a satellite orbiting around a planet or a star can be determined by $$v=\sqrt{\frac{GM}{r}}$$ We can see the mass of the planet $M$ and the distance from the satellite to the center of the planet $r$ are directly proportional. So, with similar $v$, because $M_{mars}\lt M_{jupiter}$, it follows that $r_{mars}\lt r_{jupiter}$
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