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Questions  

Two identical blocks A and B, each of mass 'm resting on smooth floor are connected by a light spring of natural length I and the spring constant k, with 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

a
Vm2k
b
mv2k
c
mvk
d
mv2k

detailed solution

Correct option is A

The kinetic energy of moving mass is equal to the total potential energy of the combined masses due to compression x,12mv2=12kx2+12kx2=kx2 or x=Vm2k

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