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Two blocks 1 and 2 of masses m and 2m re...

Two blocks 1 and 2 of masses m and 2m respectively are connected by a spring of force constant k. The masses are moving to the right with uniform velocity v each, the heavier mass, leading the lighter one. The spring is of natural length in the motion. Block 2 collides head on with a third block 3 of mass m, at rest, the collision being completely inelastic. Determine the velocity of blocks at the instant of maximum compression of the spring.

A

`(5v)/4` m/ sec

B

`(5v)/2` m/ sec

C

`(5v)/3` m/ sec

D

`(3v)/4` m/ sec

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The correct Answer is:
D
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