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A sphere `A` of mass `m` moving with a velocity hits another stationary sphere `B` of same mass. If the ratio of the velocity of the sphere after collision is `(v_(A))/(v_(B)) = (1 - e)/(1 + e)` where `e` is the coefficient of restitution, what is the initial velocity of sphere `A` with which it strikes?A. `V_(A)+V_(B)`B. `V_(A)-V_(B)`C. `V_(B)-V_(A)`D. `((V_(A)+V_(B)))/2` |
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Answer» Correct Answer - 1 `(V_(A))/(V_(B))=(1-e)/(1+e) ` `(V_(A))/(V_(B))-1=(1-e)/(1+e) -1` or `V_(B)-V_(A)=(2e)/(1+e) V_(B)` But `e=(V_(B)-V_(A))/u` so `u=(2eV_(B))/(e(1+e))` or `u+eu=2V_(B)` `u+(V_(B)-V_(A))=2V_(B)` `u=V_(A)+V_(B)` |
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