JEE Main 2012 Physics question
Two bodies A and B of mass m and 2m respectively are placed on a smooth floor. They are connected by a spring of negligible mass. A third body C of mass m is placed on the floor. The body C moves with a velocity along the line joining A and B and collides elastically with A. At a certain time after the collision it is found that the instantaneous velocities of A and B are same and the compression of the spring is . The spring constant k will be
Answer: (4)
Solution
The elastic collision of equal masses transfers all of C's velocity to A (). When A and B move together: . Energy:
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