$1\mathrm{.}6-$kg ball is attached to the end of a $0\mathrm{.}45-$m string to form a pendulum. This pendulum is

$0\mathrm{.}45$

released from rest with the string horizontal. At the lowest point of its swing, when it is moving horizontally, the ball collides with a $0\mathrm{.}80-$kg block initially at rest on a horizontal frictionless

$0\mathrm{.}90$

surface. The speed of the block just after the collision is $3\mathrm{.}0$ m$/$s$.$ Find: $($a$)$ The speed of the ball just after the collision, $($b$)$ the impulse induced on the block and the energy lost during the collision. Answers: $($a$)1\mathrm{.}5$ m$/$s$,($b$)2\mathrm{.}4$ kbm$/$s and $($c$)1\mathrm{.}8$ J$.$