Momentum and CollisionHard

Question

Three objects A, B and C are kept in a straight line on a smooth horizontal surface as shown in figure. The object A is given velocity V0 towards B. The head on clastic collision takes place between A and B and then B makes completely inelastic collision with C. All motions occur on the same straight line. The final speed of C will be :
         

Options

A.
B.
C.
D.

Solution

 For collision between A and B
mv0 = mv1 + 2mv2       ....(1)
e = = 1       ....(2)

Solving we get, v2 =
For collision between B and C
2m × = (2m + 3m) v
V =

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