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Question

A block of mass m is moving with an initial velocity v0 towards a stationary spring of stiffness k attached to the wall as shown. Find the maximum compression in the spring.



A
v0mk
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B
v0km
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C
2v0mk
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D
2v0km
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Solution

The correct option is A v0mk
The force exerted by the spring is opposite to the displacement of block. Therefore, the work done by spring force is negative.
Let x0 be the maximum compression in the spring (Final velocity of block =0).
Work done by spring =12kx20
Work done =ΔKE
12kx20=012mv20
x0=v0mk

Physics

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