College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 10 - Problems - Page 399: 42

Answer

(a) The kinetic energy is maximum at $y=0$. (b) The gravitational potential energy is maximum at $y=+A$ (c) The elastic potential energy is maximum at $y = -A$ (d) The total potential energy is minimum at $y = 0$

Work Step by Step

(a) The speed is maximum at the equilibrium point $y= 0$. Thus the kinetic energy is maximum at $y=0$ (b) The gravitational potential energy is maximum at the highest point which is at $y=+A$ (c) The elastic potential energy is maximum when the spring is at its maximum stretch distance which is at $y = -A$ (d) The total energy in the system is constant. Thus the total potential energy is minimum when the kinetic energy is maximum which is at $y = 0$
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