Question

Select One Option Correct from the following : 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 in the figure. 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 elastically with A. Then,
(A)the kinetic energy of the A-B system, at maximum compression of the spring, is zero.
(B)the kinetic energy of the A-B system, at maximum compression of the spring, is$mv^{2} /4$ .
(C)the maximum compression of the spring is $v\sqrt{\frac{m}{k}}$ .
(D)the maximum compression of the spring is $v\sqrt{\frac{m}{2k}}$ .

Answer 1

a option is correct I think

Answer 2

Select One Option Correct from the following : 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 in the figure. 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 elastically with A. Then,

✔️⭕✔️(A)the kinetic energy of the A-B system, at maximum compression of the spring, is zero.

(B)the kinetic energy of the A-B system, at maximum compression of the spring, is$mv^{2} /4$ .

(C)the maximum compression of the spring is $v\sqrt{\frac{m}{k}}$ .

(D)the maximum compression of the spring is $v\sqrt{\frac{m}{2k}}$ .