Q.

A body of mass 1 kg, moving with velocity 10 m/s collide inelastically head-on with another body of mass 2 kg moving in the same direction. After the collision, the first body continues to move in the same direction with velocity 6 m/s.  If e = 0.5, find the velocity of centre of mass of the two bodies.

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a

4.2 m/s

b

3.47 m/s

c

6.25 m/s

d

7.33 m/s

answer is D.

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Detailed Solution

(4)1+eVC=V1+eu1⇒   VC=V1+eu11+e=6+0.5 × 101+0.5  m/s=7.33 m/s.
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A body of mass 1 kg, moving with velocity 10 m/s collide inelastically head-on with another body of mass 2 kg moving in the same direction. After the collision, the first body continues to move in the same direction with velocity 6 m/s.  If e = 0.5, find the velocity of centre of mass of the two bodies.