Asmall sphere of mass m is launched horizontally over a body of water from a height h above the water and with a launch speed v0. determine expressions for the following in terms of m, v0, h, and g. air resistance is negligibly small.(a) w is the amount work done by the force of gravity on the projectile during its flight. w = −mgh for a conservative force, how does the work done by the force compare to the change in potential energy associated with the force? (b) δke is the change in kinetic energy δke of the projectile from the time it was fired until it hits the water.δke = 12mv2ƒ−12mv2i according to the work energy theorem, how does the net work done of an object compare to its change in kinetic energy? (c) kef is the final kinetic energy kef of the projectile as it hits the water. kef = 12mv2i−mghcan you express the final kinetic energy in terms of the change in kinetic energy and the initial kinetic energy?