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Question

An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released suddenly with the spring initially unstretched. Then the maximum extension in the spring is


A

4Mgk

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B

2Mgk

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C

Mgk

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D

Mg2k

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Solution

The correct option is B

2Mgk


The decrease in potential energy of the block = increase in elastic potential energy of the spring

Mgxmax=12kx2 max

xmax=2Mgk


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