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Question

A brick of mass 1.8 kg is kept on a spring of spring constant K=490Nm1. The spring is compressed so that after the release brick rises to 3.6 m. Find the compression in the spring. (Take g=10 m/s2)

A
0.21 m
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B
0.322 m
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C
0.414 m
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D
0.514 m
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Solution

The correct option is D 0.514 m
As the brick raises, it gains potential energy, which is the work done by the spring on the brick.

Let the spring be compressed by x, then the work done is 12kx2

12kx2=mgh

x=(2mghk)1/2=2×1.8×10×3.6490=0.514m

Option D.

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