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A particle of mass 0.8 kg is executing simple harmonic motion with an amplitude of 1.0 metre and periodic time 11/7 sec. The kinetic energy (in J) of the particle at the moment when it displacement is 0.6 metre is ________.

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answer is 4.1.

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Detailed Solution

We know that at a displacement y from mean position particle's velocity is given asv=ωA2−y2 or v=2πTA2−y2=2×3.14(11/7)(1.0)2−(0.6)2=3.2m/sKinetic energy at this displacement is given byK=12mv2=12×0.8×(3.2)2=4.1J

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A particle of mass 0.8 kg is executing simple harmonic motion with an amplitude of 1.0 metre and periodic time 11/7 sec. The kinetic energy (in J) of the particle at the moment when it displacement is 0.6 metre is ________.