Momentum and CollisionHard

Question

In the given diagram the sphere is released from rest. Just after collision with 5 kg block. It comes to rest. The 5 kg block comes to rest after moving a distance of 0.8 m.
Co-efficient of restitution will be :-
   

Options

A.0.5
B.0.6
C.0.7
D.0.8

Solution

Very easy Question you can even calculate coefficient of friction easily.
Velocity of sphere when it collides with block is
μs =
since the block finally comes to rest and therefore the velocity of block just after collision with sphere is
q = vb2 - 2μgs ⇒ vb =
e = = 0.8

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