Two particles of mass 1 kg and 2 kg are moving with speed 2 m/s and 5 m/s as shoen in the figure, they collides perfectly inelastically. Find
(a) Their final velocity
(b) Loss in kinetic energy

Explanation

`(a) vecv_(1)=vecv_(2)=(m_(1)u_(1)+m_(2)u_(2))/(m_(1)+m_(2))`
`=((1xx2-2xx5))/(1+2)`
`(-8)/(3)im//s`
`(b) Deltak=(1)/(2)((m_(1)m_(2))/(m_(1)+m_(2)))(vecu_(1)-vecu_(1))^(2)`
`implies1/2((1xx2)/(1+2))(2+5)^(2)=(49)/(3)J`