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A body moving with a kinetic energy of $20$ J on a horizontal frictionless surface hits spring whose one end is fixed to a rigid wall and it compresses the spring and it comes to rest. What is the potential energy of spring when it is compressed to the maximum?

A

10

J

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B

20

J

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C

zero

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D

30

J

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Solution

The correct option is B $20$ J
Initial Energy of the system $20 J$
Since there is no friction energy will be conserved
$K . E + P . E =$ Constant
$K . E_{i} + P . E_{i} = K E_{f} + P E_{f} 20 J = P E_{f}$

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