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 381: 31b

Answer

$a_g = 3.69~m/s^2$

Work Step by Step

We can find the radius of Mars: $R = \frac{6.9\times 10^3~km}{2} = 3.45\times 10^3~km$ We can find the mass of Mars: $M = (0.11)(5.98\times 10^{24}~kg) = 6.58\times 10^{23}~kg$ We can find the gravitational acceleration on Mars: $a_g = \frac{GM}{R^2}$ $a_g = \frac{(6.67\times 10^{-11}~N~m^2/kg^2)(6.58\times 10^{23}~kg)}{(3.45\times 10^6~m)^2}$ $a_g = 3.69~m/s^2$
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