An F/A-18 Hornet takes off from an aircraft carrier, using two separate propulsion systems...

An F/A-18 Hornet takes off from an aircraft carrier, using two separate propulsion systems: its two jet engines and a steam-powered catapult. During launch, a fully loaded Hornet weighing about 50,000 lb goes from 0 mph (relative to the aircraft carrier) to 165 mph (measured relative to surface of the Earth) in a distance of 300 ft (measured relative to the aircraft carrier) while each of its two engines is at full power generating about 22,000 lb of thrust. Assuming that the aircraft carrier is traveling in the same direction as the takeoff direction and at a speed of 30 knot, determine:

(a) The total work done on the aircraft during launch.

(b) The work done by the catapult on the aircraft during launch.

(c) The force exerted by the catapult on the aircraft.

In solving this problem, model the aircraft as a particle; assume that its trajectory is horizontal and that the catapult assists the aircraft the full 300 ft needed for takeoff; and finally, let all forces be constant and neglect air resistance and friction.

Figure P4.16