Two particles of same mass are permitted to move towards each other along the line joining their centers of mass. At a particular moment of time their speeds are v and 2 v What is the speed of their common center of mass at this instant ?

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zero

0.5 v

3 v

answer is B.

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Detailed Solution

L€t m be the mass of each particle. The velocity of center of mass is given by vCM=m1v1+m2v2m1+m2 =m-v+m(2v)m+m=mv2m =0⋅5V

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