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A particle is vibrating in a simple harmonic motion with amplitude 3 cm. When the restoring force acting on the particle is half of the maximum possible restoring force, find the ratio of kinetic energy of the particle to its potential energy.

a
4
b
3
c
22
d
3

detailed solution

Correct option is B

Restoring force acting on the particle F=mω2x where x is the distance from equilibrium position. So Fmax=mω2A and when F=12Fmax, x=A2∴ Kinetic energy K=12mωA2−A222=38mω2A2Potential energy (V)=12mω2A22=18mω2A2∴ KU=3

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