A shell is fired with velocity having horizontal and vertical components ux, uy. At the highest point of it's path the shell explodes into two fragments of mass m1, m2, which separate in a horizontal direction. The explosion generates kinetic energy E. Show that the distance between the Pieces when the hit the ground is:

Question

A shell is fired with velocity having horizontal and vertical components ux, uy. At the highest point of it's path the shell explodes into two fragments of mass m1, m2, which separate in a horizontal direction. The explosion generates kinetic energy E. Show that the distance between the Pieces when the hit the ground is:
(Uy/g)*(sqrt(2E(m1+m2)/m1m2))