Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 8 - Exercises and Problems: 13

Answer

$r_2=\sqrt{\frac{1}{3}}r_1$

Work Step by Step

We know that the force of gravity is inversely proportional to $r^2$ $\implies \frac{F_1}{F_2}=(\frac{r_1}{r_2})^2$ This simplifies to: $r_2=\sqrt{\frac{F_1}{F_2}}r_1$ $r_2=\sqrt{\frac{1}{3}}r_1$
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