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 - Page 375: 61

Answer

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Work Step by Step

To solve this problem, we need to use table 13.2 data. From the given formula we can see that the first term is a 100-kg block, the second term is the universal gravitational constant, the third term is the mass of the Moon, and the fourth is the moon's radius. a) A 100-kg block was released from rest above the moon's surface by a distance of $h=1.74\times10^6$ m, what is its speed $v_2$ just before it hits the ground. b) See the figure below. c) Solving for $v_2$; $$v_2=\sqrt{2(6.67\times10^{-11})(7.36\times10^{22})\left[ \dfrac{1}{1.74\times10^6}-\dfrac{1}{3.48\times10^6}\right]}$$ $$v_1=\color{red}{\bf1680}\;\rm m/s$$
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