Q$2(35$ pts$)$: Two smooth disks A and $B,$ having a mass of $8$ kg and $12$ kg $,$ respectively, collide with the velocities shown in the figure. If the coefficient of restitution for the disks is $e=0\mathrm{.}70,$ determine the $x$ and $y$ components of the final velocity of each disk just after collision. Calculate what percentage of the energy is lost during the collision.