Two blocks 
and 
of masses 
and 2
respectively, are connected with the help of a spring having spring constant, 
as shown in fig. Initially, both the blocks are moving with same velocity 
on a smooth horizontal plane with the spring in its natural length. During their course of motion, block 
makes an inelastic collision with block 
of mass 
which is initially at rest. The coefficient of restitution for the collision is 1/2. The maximum compression in the spring is
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a)
b)
Will never be attained
c)
d)
and of masses and 2 respectively, are connected with the help of a spring having spring constant, as shown in fig. Initially, both the blocks are moving with same velocity on a smooth horizontal plane with the spring in its natural length. During their course of motion, block makes an inelastic collision with block of mass which is initially at rest. The coefficient of restitution for the collision is 1/2. The maximum compression in the spring isa)
b)
Will never be attained
c)
d)
Question ID - 100513 | SaraNextGen Top Answer Two blocks and of masses and 2 respectively, are connected with the help of a spring having spring constant, as shown in fig. Initially, both the blocks are moving with same velocity on a smooth horizontal plane with the spring in its natural length. During their course of motion, block makes an inelastic collision with block of mass which is initially at rest. The coefficient of restitution for the collision is 1/2. The maximum compression in the spring is
a)
b)
Will never be attained
c)
d)
Two blocks and of masses and 2 respectively, are connected with the help of a spring having spring constant, as shown in fig. Initially, both the blocks are moving with same velocity on a smooth horizontal plane with the spring in its natural length. During their course of motion, block makes an inelastic collision with block of mass which is initially at rest. The coefficient of restitution for the collision is 1/2. The maximum compression in the spring is
|
a) |
|
b) |
Will never be attained |
|
c) |
|
d) |
|
(d)
For collision of 
and 
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Solving above equations, 
and 
Now for blocks 
and 
plus spring system, using reduced mass concept, and applying work-energy theorem, let maximum compression in spring be 
and at the time of maximum compression relative velocity of blocks be zero. Reduced mass is given by
