Each of the blocks shown in figure has mass 1 kg. The rear block moves with a speed of 2 m/s towards the front block kept at rest. The spring attached to the front block islight and has a spring constant 50 N/m. find the maximum compression of the spring.

Each of the blocks shown in figure has mass 1 kg. The rear block moves

1.	Each of the blocks shown in figure has mass 1 kg. The rear block moves with a speed of 2 m/s towards the front block kept at rest. The spring attached to the front block islight and has a spring constant 50 N/m. find the maximum compression of the spring.
Answer» Maximum compression will take place when the blocks move with equal velocity. As no net exterN/Al force acts on the system of the two blocks, the totla linear momentum will remain constant. If V is the common speed at maximum compression we hae , `(1kg)(2m/s)=(1kg)V+(1kg)V` or, `V=1m/s` INitial kinetic energy `=1/2 (kg)(2m/s)^2=2J` FiN/Al kinetic energy `=1/2(1kg)(1m/s)^2+1/2(1kg)(1m/s)^2` `=1j` `The kinetic energh lost is stored as the elastic energy in spring. Hence, `1/2(50N/m)x^2=2J-1=1J` `or x=0.2m`

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Each of the blocks shown in figure has mass 1 kg. The rear block moves with a speed of 2 m/s towards the front block kept at rest. The spring attached to the front block islight and has a spring constant 50 N/m. find the maximum compression of the spring.

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