Two blocks A and B of masses m and 2m, respectively, are connected with the...

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Two blocks A and B of masses m and 2m, respectively, are connected with the help of a spring having spring constant, k as shown in Fig. Initially, both the blocks are moving with same velocity v on a smooth horizontal plane with the spring in its natural length. During their course of motion, block B makes an inelastic collision with block C of mass m which is initially at rest. The coefficient of restitution for the collision is 1/2. The maximum compression in the spring is?

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