Two particles A and B of mass 1kg and 2kg are moving with velocity uA=10m/s and uB=20m/s respectively in opposite direction as shown in the figure. Find the magnitude of velocity of the centre of mass of the system.
A
10m/s
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B
15m/s
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C
5m/s
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D
20m/s
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Solution
The correct option is A10m/s Given masses mA=1kg,mB=2kg
velocity of mass A, uA=10m/s
velocity of mass B, uB=−20m/s ⇒velocity of system's COM is given by: uCM=mAuA+mBuBmA+mB=1(10)+2(−20)1+2 ∴uCM=−303=−10m/s
Hence, velocity of COM of system is 10m/s in the −vex direction.