The blocks and , each of mass , are connected by massless spring of natural length and spring constant . 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 , also of mass , moves on the floor with a speed along the line joining and , and collides with . Then
a) |
The KE o the system, at maximum compression of the spring, is zero |
b) |
The KE of the system, at maximum compression of the spring is |
c) |
The maximum compression of the spring is |
d) |
The maximum compression of the spring is |
The blocks and , each of mass , are connected by massless spring of natural length and spring constant . 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 , also of mass , moves on the floor with a speed along the line joining and , and collides with . Then
a) |
The KE o the system, at maximum compression of the spring, is zero |
b) |
The KE of the system, at maximum compression of the spring is |
c) |
The maximum compression of the spring is |
d) |
The maximum compression of the spring is |
(d) The compression of spring is maximum when velocities of both blocks and is same. Let it be , then from conservation law of momentum kinetic energy of system at that stage Further loss in KE> = gain in elastic potential energy , |