Two blocks `A` and `B` of masses in and `2m` respectively placed on a smooth floor 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`. At a certain instant of time after collision it is found that the instantaneous velocities of `A` and `B` are same then:

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.

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.

Two blocks A and B of masses m and 2m respectively are placed on a smooth floor. They are connected by a spring. A third block C of mass m moves with a velocity v_0 along the line joing A and B and collides elastically with A, as shown in figure. 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.

Two blocks A and B of masses m and 2m respectively are placed on a smooth floor. They are connected by a spring. A third block C of mass m moves with a velocity v_0 along the line joing A and B and collides elastically with A, as shown in figure. 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.

Two bodies A and B of masses m and 2m respectively are placed on a smooth floor. They are connected by a light spring of stiffness k. A third body C of mass m moves with velocity v_(0) along the line joining A and B and collides elastically with A. If l_(o) be the natural length of the spring then find the minimum separation between the blocks.

Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a light spring of natural length L and spring constant K. A third block Cof mass m moving with a speed v along the line joining A and B collides with A. The maximum compression in the spring is