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Question

# Two particles A and B of mass 1 kg and 2 kg are moving with velocity uA=10 m/s and uB=20 m/s respectively in opposite direction as shown in the figure. Find the magnitude of velocity of the centre of mass of the system.

A
10 m/s
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B
15 m/s
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C
5 m/s
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D
20 m/s
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Solution

## The correct option is A 10 m/sGiven masses mA=1 kg, mB=2 kg velocity of mass A, uA=10 m/s velocity of mass B, uB=−20 m/s ⇒velocity of system's COM is given by: uCM=mAuA+mBuBmA+mB=1(10)+2(−20)1+2 ∴uCM=−303=−10 m/s Hence, velocity of COM of system is 10 m/s in the −ve x direction.

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