question_answer

Two blocks A and B, each of mass m are connected by a massless spring of natural length L and spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown. A third identical block C, also of mass m, moves on the floor with a speed v along the line joining A and B and collides with A. Then the

A) Kinetic energy of the A - B system, at maximum compression of the spring, is zero

B) Kinetic energy of the A - B system, at maximum compression of the spring, is \[m{{v}^{2}}/4\]

C) Maximum compression of the spring is \[v\sqrt{mk}\]

D) Maximum compression of the spring is \[v\sqrt{m/k}\]