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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a
zero
b
0.5 v
c
v
d
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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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 ?