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Question

A long slender rod of mass 2 kg and length 4 m is placed on a smooth horizontal table. Two particles of masses 2 kg and 1 kg 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
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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,
2×10+1×10=(2+12)v
v=305
v=6

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