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Two identical balls each of mass m moving on straight track approaching towards each other with same speed. Find kinetic energy of the two ball system is equal to the total energy loss during collision E is the total kinetic energy of the balls before collision and E' is after collision and coefficient of restitution is e. Then choose the correct options. |
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Answer» `(E)/(E') = 2` `E = m u^(2)` `DELTA E=(1)/(2)((m)/(2))(2U)^(2)(1-e^(2))=m u^(2)(1-e^(2))` `E'=E=DeltaE = m u^(2) (1-1+e^(2))=m u^(2)e^(2)` since `E' = Delta E` `m u^(2)e^(2)=m u^(2)(1-e^(2))` `e^(2)=1-e^(2)rArr e^(2)=(1)/(2)rArr e=(1)/(sqrt(2))` and `(E)/(E')=(1)/(e^(2))=2` |
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