A stone with a mass of 2 kg is thrown vertically into the air by a powerful catapult to an elevation of 100 m where the velocity is 0 m/s. Acceleration due to gravity is assumed to be 9.81 m/s2.
a. First, assuming no heat transfer between the rock and air and no other losses, what is the initial velocity of the stone as it left the catapult in [m/s]?
b. What was the work done to the stone by the catapult in [J]
c. Still assuming no heat transfer between the rock and air and assuming that the stone's specific internal energy increased by 500 J/kg during its flight, what is the initial velocity of the stone as it left the catapult and the work done to the stone by the catapult?