1.

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

Answer»

v
`v//3`
`v//2`
zero

Solution :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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