Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 13 - Gravitation - Problems - Page 380: 27a

Answer

$a_g = 9.83~m/s^2$

Work Step by Step

To find the gravitational acceleration at the surface, we can assume that all of the mass is concentrated at the center of the Earth: $a_g = \frac{GM}{R^2}$ $a_g = \frac{(6.67\times 10^{-11}~N~m^2/kg^2)(5.98\times 10^{24}~kg)}{(6.37\times 10^6~m)^2}$ $a_g = 9.83~m/s^2$
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