A particle of mass 2 kg moving with a velocity `5 hat(i) ms^(-1)` collides head-on with another particle of mass 3kg moving with a velocity `-2hat(i) ms^(-1)`. After the collision the first particle has speed of `1.6 ms^(-1)` in negative x-direction. Find
(i) velocity of the center of mass after the collision
(ii) velocity of the second particle after the collision
(iii) coefficient of restitution.

Answer

(i) `0.8hat(i) ms^(-1)` (ii) `2.4hat(i) ms^(-1)` (c ) `(4)/(7)`

Explanation

(A) `v_(cm) = [((2 xx5) - (3 xx 2))/(2 + 3)] hat(i) = (4)/(5)hat(i) m//s`
(B) `COLM rArr (2 xx 5) + 3(-2) = +2 (-1.6) + 3v_(2) rArr v_(2) = 2.4 m//s`
(C ) `e = - ((v_(2) - v_(1))/(u_(2) - u_(1))) = (4)/(7)`