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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



Question ID - 53246 | SaraNextGen Top Answer

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

1 Answer
127 votes
Answer Key / Explanation : (d) -

(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

,  

127 votes


127