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Final Velocities

Velocity of t...

Question

Velocity of the centre of mass of the rod after collision is

A

12

m / s

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B

9

m / s

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C

6

m / s

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D

3

m / s

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Solution

The correct option is B $6$ $m / s$
Net external force is zero $⟹ P_{i} = P_{f}$
Let V be the centre of mass of the rod after collision.
$m_{1} v_{1} + m_{2} v_{2} + 0 = M V$
$2 \times 10 + 1 \times 10 + 0 = (2 + 2 + 1) V$
$⟹ V = 6$ $m / s$

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