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Question

# A spring of spring constant k placed horizontally on a rough horizontal surface is compressed against a block of mass m placed on the surface so as to store maximum energy in the spring. If the coefficient of friction between the block and the surface is μ, the potential energy stored in the spring is:

A
μ2m2g2k
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B
2μ2g2k
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C
μ2m2g22k
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D
3μ2mg2k
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Solution

## The correct option is C μ2m2g22kRestoring force of spring F=−kxcoefficient of kinetic friction F=μmgat equilibrium,the spring along with mass will return to its mean position.so,−kx=μmg;x=−μmgk the potential energy stored the spring is 12kx2=12k(−μmgk)2=12k(μ2m2g2k)

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