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Question

Two spheres of mass 2 kg and 6 kg are moving with velocities 4 m/s and 8 m/s away from each other along the same line. The ball of mass 2 kg is moving towards left. The velocity of the center of mass is

A
4 m/s
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B
7 m/s
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C
5 m/s
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D
3 m/s
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Solution

The correct option is C 5 m/s
Given, mass m1=2 kg & m2=6 kg
Taking left to be negative direction.
Velocity of masses, v1=4 m/s
& v2=8 m/s

Thus, we have velocity of center of mass
Vcm=m1v1+m2v2m1+m2=2(4)+6(8)2+6=408=5 m/s

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