V વેગથી જતી m દળની ગોળી રેતી ભરેલ M દળની થ

By the conservation of linear momentum Initial momentum of sphere = Final momentum of system

$mV = (m + M){v_{{\rm{sys}}{\rm{.}}}}$…(i)

If the system rises up to height h then by the conservation of energy $\frac{1}{2}(m + M)v_{{\rm{sys}}{\rm{.}}}^{\rm{2}} = (m + M)gh$…(ii)

==> ${v_{{\rm{sys}}{\rm{.}}}} = \sqrt {2gh} $

Substituting this value in equation (i)

$V = \left( {\frac{{m + M}}{m}} \right)\;\sqrt {2gh} $