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Velocity of COM

A long slende...

Question

A long slender rod of mass $2 k g$ and length $4 m$ is placed on a smooth horizontal table. Two particles of masses $2 k g$ and $1 k g$ strike the rod simultaneously and stick to the rod after collision as shown in Figure.
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 C $6 m / s$
By conservation of linear momentum,
$2 \times 10 + 1 \times 10 = (2 + 12) v$
$v = \frac{30}{5}$
$v = 6 ㎧$

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