Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 10 - Simple Harmonic Motion and Elasticity - Focus On Concepts - Page 273: 11

Answer

(c) A and B

Work Step by Step

In simple harmonic motion at any instant the sum of kinetic energy and potential energy is equal to total energy and is constant, that is $K.E + P.E = T.E = constant$ where $T.E$ is Total Energy Also in simple harmonic motion Kinetic energy and Potential energy are interchangeable. Decrease in Potential energy results in increased Kinetic energy so as to keep Total Energy constant. When $ P.E = 0$ then $ K.E= K.E_{max}= T.E$ and when $K.E = 0$ then $ P.E= P.E_{max} = T.E$. Thus we have $K.E_{max} =T.E =P.E_{max}$ $\implies K.E_{max} =P.E_{max}$
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