Two rectangular blocks 
and 
of masses 
and 
respectively are connected by a spring of spring constant 
and are placed on a frictionless horizontal surface. The block 
was given an initial velocity of 
in the direction shown in the figure. The maximum compression of the spring during the motion is
Text Solution
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Block 
moves with velocity 
compresses the spring which pushes 
towards right. 
goes on compressing the spring till the velocity acquired by 
becomes equal to the velocity of 
. Let this velocity be 
. This state occurs when the spring is in a state of maximum compression. Let 
be the maximum compression in this stage.
According to the law of conservation of linear momentum, we get
According to the conservation of energy, we get
or 
or 
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