A 2 kg ball moving at 24 ms undergoes inelastic head on collision with a 4 kg ball moving in the opposite direction at 48 ms. If the coefficient of restitution is 2/3, their velocities in ms-after impact are

Options

A. - 56, -8
B. - 28,-4
C. – 14. - 2
D. -7,-1

Answer

a

Explanation

`v_(1)=[(m_(1)-em_(2))/(m_(1)+m_(2))]u-[((1+e)m_(2))/(m_(1)+m_(2))]u_(2)`
`=[(2-(2//3)4)/(2+4)]24-[(((1+(2)/(3))4)/(2+4)]48`
`=-56m//s`
`v_(2)=[((1+e)m_(1))/(m_(1)+m_(2))]u_(1)-[(m_(2)-em_(1))/(m_(1)+m_(2))]u_(2)`
`=[(((1+(2)/(3))2)/(2+4)]24-[(4((2)/(3))2)/(2+4)]48`
`=-8m//s`