Meriam, Kraige & Bolton — Kinetics of Systems of Particles: Problem 4_69

By lowering a scoop as it skims the surface of a body of water, the aircraft (nicknamed the “Super Scooper”) is able to ingest \(4.5\text{ m}^3\) of fresh water during a 12-second run. The plane then flies to a fire area and makes a massive water drop with the ability to repeat the procedure as many times as necessary. The plane approaches its run with a velocity of \(280\text{ km/h}\) and an initial mass of \(16.4\text{ Mg}\). As the scoop enters the water, the pilot advances the throttle to provide an additional \(300\text{ hp}\) (\(223.8\text{ kW}\)) needed to prevent undue deceleration. Determine the initial deceleration when the scooping action starts. (Neglect the difference between the average and the initial rates of water intake.)