Asmall airplane with full fuel tanks, but no occupants or baggage, has a mass of 1.17×103kg and a center of gravity that is 2.58 m behind the nose of the airplane. the pilot’s seat is 2.67 m behind the nose, and the baggage compartment is 4.30 m behind the nose. a 75 kg pilot boards the plane and is the only occupant. if the center of gravity of the airplane with pilot can be no more than 2.76 m behind the nose for in-flight stability, what is the maximum mass that the baggage compartment can hold?