A particle of mass 1kg is executing SHM with an amplitude of 1m and time periods $π$ s. The kinetic energy of the particle at the moment when the displacement is 0.8 m from the mean position is

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0.72 J

1.2 J

7.2 J

0.8 J

answer is C.

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Detailed Solution

$m = 1 kg, A = 1 m,T = π s \Rightarrow \frac{2 π}{ω} \Rightarrow ω = 2, x = 0.8$ $K.E = \frac{1}{2} m ω^{2} [A^{2} - x^{2}] = \frac{1}{2} \times 1 \times 4 [1 - 0.64] = 2 [0.36] = 0.72 J$

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