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Q.

Block ‘A’ is hanging from a vertical spring and is at rest. Block ‘B’ strikes the block ‘A’ with ‘v’ and sticks to it. Then the value of ‘v’ (in m/s) for which the spring just attains natural length is

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answer is 6.

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Detailed Solution

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Applying conservation of energy between initial and final states 
  122m(v2)2+12k(mgk)2=2mg(mgk)
Solving we get  v=6mg2k=6m/sec

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