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Two identical particles move towards eac...

Two identical particles move towards each other with velocity 2v and v, respectively. The velocity of the centre of mass is:

A

v

B

`v//3`

C

`v//2`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
Let the mass of each body be m. Their motion is represented as shown in the figure.
From `vecv_(cm) = (m_1vecV_1 + m_2vecV_2)/(m_1 + m_2) , " "vecV_(cm) = (m xx 2v - mv)/(m + m) = v/2`
[The direction of motion of the first particle is taken as positive.] So the velocity of the centre of mass of the system is v/2 in the direction of motion of the particle having larger speed.
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