Two identical blocks A and B, each of mass ‘m’ resting on smooth floor are connected by a light spring of natural length L and the spring constant K, with the spring at its natural length. A third identical block C (mass m) moving with a speed v along the line joining A and B collides with A. The maximum compression in the spring is………….
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a
vm/2k
b
mv2k
c
mv2k
d
mv2k
answer is A.
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Detailed Solution
At the time of maximum compressionboth will move with the same velocity say v1 from conservation of linear momentum mv=2mv1 v1=v2 and from conservation of energy 12mv2=12mv22×2+12kx2 solving x=vm2k