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Two billiard balls A and B, each of mass 50 kg and moving in oppsite direction with speed of `5ms^-1` each, collide and rebound with the same speed. If the collision lasts for `10^-3s`, which of the follwing statements are true?A. The impluse imparated to each ball is `0.25kg ms^(-1)` and the force on each ball is `250N`.B. The impluse imparated to each ball is `0.25 kg ms^(-1)` and the force exerted on each ball is `25xx10^(-5)N`.C. The impluse imparated to each ball is `0.5Ns`.D. The impluse and the force on each ball are equal in magnitude and opposite in direction. |
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Answer» Correct Answer - C::D Given `m_(1) =m_(2) =50(g) =50 xx 10^(-3) kg` Initial velocity `(u) = u_(1) = u_(2) = 5m//s` Final velocity `(v) = v_(1) = v_(2) = - 5m//s` Time duration of collision `= 10^(3)s` Change in linear momentum `=m (v-u)` `=50 xx 10^(-3)[-5 -5] = - 0.5 N -s` For `= ("impulse")/("Time") = ("Change in momentum")/(10^(-3) s)` `= (0.5)/(10^(-3)) =500N` Impulse and force are opposite in direction . |
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