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, along the line joining A and B and collides elastically with A, as shown in figure. At a certain instant of time t, 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 smo

1.	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, along the line joining A and B and collides elastically with A, as shown in figure. At a certain instant of time t, 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.
Answer» ANSWER :`(v_(0))/(3), (2)/(3) (MV _(0) ^(2))/( x _(0) ^(2))`