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 13 - Newton's Theory of Gravity - Exercises and Problems: 6

Answer

The gravitational force on the 1.0-kg sphere is 8.94 N.

Work Step by Step

If the 1.0-kg sphere is 300 km above the earth's surface, then the distance from the earth's center is 6380 km + 300 km which is 6680 km. We can find the gravitational force on the 1.0-kg sphere. Let $M_e$ be the mass of the earth. Let $M_s$ be the mass of the sphere. $F = \frac{G~M_e~M_s}{R^2}$ $F = \frac{(6.67\times 10^{-11}~m^3/kg~s^2)(5.98\times 10^{24}~kg)(1.0~kg)}{(6.68\times 10^6~m)^2}$ $F = 8.94~N$ The gravitational force on the 1.0-kg sphere is 8.94 N
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