Momentum and CollisionHard

Question

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The object A moves towards B with a speed 9m/sec and makes an elastic collision with it. Thereafter B makes completely inelastic collision with C. All motion occur on the same straight line. Velocity of object C after collision is.
      

Options

A.6 m/sec
B.4 m/sec
C.2 m/sec
D.8 m/sec

Solution

For collision between A and B
M1 = M, U1 = 9 m/sec
M2 = 2M, U2 = 0
VB = U2 =
VB = 6 m/sec
For collision between B and C
MBvB = (MB + MC)v
2M × 6 = (2M + M)v
v = 4 m/sec

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