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Block is hanging from a vertical spring and is at rest. Block strikes the block with velocity and sticks to it. Then the value of for which the spring just attains natural length is –

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Verified Answer
The correct answer is:
The initial extention in spring is . Just after collision of B with A the speed of combined mass is . For the spring to just attain natural length the combined mass must rise up by and comes to rest.

Applying conservation of energy between initial and final states
solving we get

Applying conservation of energy between initial and final states
solving we get
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