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Two bodies A and B of masses m and 2 m r...

Two bodies A and B of masses m and 2 m respectively are placed on a smooth floor. They are connected by a spring. A third body C of mass m moves with velocity `v_0` along the line joining A and B and collides elastically with A as shown in Fig.

At a certain instant of time `t_0` after collision, it is found that the instantaneous velocities of A and B are the same. Further at this instant the compression of the spring is found to be `x_0`. Determine (i) the common velocity of A and B at time `t_0`, and (ii) the spring constant.

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