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.

Question

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.

Infinity Learn · Accepted Answer

$$(4)1+eVC=V1+eu1$$⇒   $$VC=V1+eu11+e=6+0.5$$ × $$101+0.5$$  $$m/s=7.33$$ $$m/s$$.

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