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A physics student writes the elastic pot...

A physics student writes the elastic potential energy stored in a spring as `U=1/2KL^(2)+1/2Kx^(2),` where L is the natural length of the spring, x is extension or compression in it and K is its force constant. A block of mass M travelling with speed V hits the spring and compresses it.

Find the maximum compression caused.

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The correct Answer is:
`sqrt(M/K) .V`
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