University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 6 - Work and Kinetic Energy - Problems - Exercises - Page 195: 6.21

Answer

(a) v = 43.2 m/s (b) v = 101 m/s

Work Step by Step

(a) $KE_1 + W = KE_2$ $0 + mg~d = \frac{1}{2}mv^2$ $v^2 = 2gd$ $v = \sqrt{(2)(9.8~m/s^2)(95.0~m)}$ $v = 43.2~m/s$ (b) $KE_1 + W = KE_2$ $ \frac{1}{2}mv^2 - mg~d = 0$ $v^2 = 2gd$ $v = \sqrt{2gd}$ $v = \sqrt{(2)(9.80~m/s^2)(525~m)}$ $v = 101~m/s$
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