$1-$kg block B is moving with a velocity vo of magnitude vo $=2($ m$)/($s$)$ as it hits the $0\mathrm{.}5-$kg sphere A$,$

which is at rest and hanging from a cord attached at O$.$ If the coefficient of restitude between sphere A and block B is known to be e$=0\mathrm{.}8,$ find $($a$)$ the speed of sphere A and block B after the impact and

$($b$)$ the height h reached by the sphere A$.($g$=9\mathrm{.}81($ m$)/($s$)*)$