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Q.

The potential energy of a particle of mass 2 kg in SHM is 9x2J . Here, x is the displacement from mean position. If total mechanical energy of the particle is 36 J, then, maximum speed of the particle is

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a

2 m/s

b

6 m/s

c

4 m/s

d

10 m/s

answer is C.

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Detailed Solution

At x=0, U=0. Therefore, total mechanical energy is equal to the maximum kinetic energy.

∴12mvmax2=36 or vmax=72m=722=6 m/s

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The potential energy of a particle of mass 2 kg in SHM is 9x2J . Here, x is the displacement from mean position. If total mechanical energy of the particle is 36 J, then, maximum speed of the particle is