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: 27b

Answer

$a_g = 9.84~m/s^2$

Work Step by Step

Note that at the crust-mantle interface, the mass of the crust does not affect the gravitational acceleration. To find the gravitational acceleration at the crust-mantle interface, we can assume that all of the mass of the mantle and core is concentrated at the center of the Earth: $a_g = \frac{GM}{R^2}$ $a_g = \frac{(6.67\times 10^{-11}~N~m^2/kg^2)(4.01\times 10^{24}~kg+1.93\times 10^{24}~kg)}{(6.345\times 10^6~m)^2}$ $a_g = 9.84~m/s^2$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.