Two bodies A and B of mases m and 2m respectively are placed on a smoo

1.	Two bodies A and B of mases m and 2m respectively are placed on a smooth floor. They are connected by a spring. A third body C of mass m moves with velocity v0 along the line joining A and B and collides elastically with A as shown in figure. At a certain instant of time t0 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 x0. Determine (a) the common velocity of A and B at time t0 and (b) the spring constant.
Answer» Two bodies A and B of mases m and 2m 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 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 (a) the common velocity of A and B at time $t_{0}$ and (b) the spring constant.

Two bodies A and B of mases m and 2m respectively are placed on a smooth floor. They are connected by a spring. A third body C of mass m moves with velocity v0 along the line joining A and B and collides elastically with A as shown in figure. At a certain instant of time t0 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 x0. Determine (a) the common velocity of A and B at time t0 and (b) the spring constant.

Answer»

Two bodies A and B of mases m and 2m 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 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 (a) the common velocity of A and B at time $t_{0}$ and (b) the spring constant.

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