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Question

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be

A
2Mg/k
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B
4Mg/k
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C
Mg/2k
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D
Mg/k
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Solution

The correct option is A 2Mg/k

For the maximum extenction:
mgxmax=12mx2maxxmax=2mgk

Hence, for the maximum extenctionof spring wil be 2mgk.

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