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Question: For a particle executing simple harmonic motion, the kinetic energy K is given by \(K = K_{o}\cos^{2...

For a particle executing simple harmonic motion, the kinetic energy K is given by K=Kocos2ωtK = K_{o}\cos^{2}\omega t. The maximum value of potential energy is

A

K0K_{0}

B

Zero

C

K02\frac{K_{0}}{2}

D

Not obtainable

Answer

K0K_{0}

Explanation

Solution

Since maximum value of cos2ωt\cos^{2}\omega tis 1.

Kocos2ωomax\therefore{Ko{\cos^{2}\omega}_{o}}_{\max}

Also Komaxmax{Ko\max}_{\max}