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: 23b

Answer

$a_g=4.2\frac{m}{s^2}$

Work Step by Step

For $R$, the mass is $M$ and for $2R$, the mass is $4M$. So for $3R$, the total mass is $M+4M=5M$ Using the formula below, $a_g=\frac{GM}{R^2}$ $a_g=\frac{G(5M)}{(3R)^2}$ $a_g=\frac{6.67\times 10^{-11}\times 5\times 4.1\times 10^{24}}{(3\times 6\times10^6)^2}$ $a_g=4.2\frac{m}{s^2}$
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