A $1-$kg block B is moving with a velocity v$0$ of magnitude v$0=2$ m$/$s as it hits the $0\mathrm{.}5-$kg sphere A$,$ which is at rest and hanging from a cord attached at O$.$ Knowing that coefficient of sliding friction between is $0\mathrm{.}6$ between the block and the horizontal surface and coefficient of restitution between the block and the sphere is $0\mathrm{.}8,$ determine after impact $($a$)$ the maximum height h reached by the sphere, $($b$)$ the distance x traveled by the block $($c$)$ magnitude of velocity of sphere A and block B immediately after impact, $($d$)$ magnitude of acceleration of block B as it moves along horizontal surface after impact.