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Question

Certain weight is attached with a spring.It is pulled down and then released.It oscillates up and down.Its Kinetic Energy will be:

A
maximum in the middle of the movement
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B
maximum at the bottom
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C
maximum just before it is released
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D
constant
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Solution

The correct option is A maximum in the middle of the movement
As no external force is acting on the system so mechanical energy will be conserved.
potential energy + mechanical energy = constant
potential energy stored in the spring is given by 12Kx2 so kinetic energy will be maximum when potential energy will be minimum, potential energy will be minimum when x is minimum in magnitude. i.e. x is zero.
so weight will have maximum kinetic energy when the block is in equilibrium position.i.e. x0=0.
so best possible answer is A.

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