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 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 with A. Then [IIT-JEE 1993]

Question

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 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 with A. Then                                                            [IIT-JEE 1993]

TuteeHUB · Accepted Answer

The maximum compression of the spring is $$v\sqrt{m/K}$$

TuteeHUB · Answer

The kinetic energy of the A-B system at maximum compression of the spring is zero

TuteeHUB · Answer

The kinetic energy of the A-B system at maximum compression of the spring is $$m{{v}^{2}}/4$$

TuteeHUB · Answer

The maximum compression of the spring is $$v\sqrt{m/2K}$$

1.	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 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 with A. Then [IIT-JEE 1993]
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 \[m{{v}^{2}}/4\]
C.	The maximum compression of the spring is \[v\sqrt{m/K}\]
D.	The maximum compression of the spring is \[v\sqrt{m/2K}\]
Answer» C. The maximum compression of the spring is \[v\sqrt{m/K}\]

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