A small airplane with full fuel tanks, but no occupants or baggage, has a mass of 1.17 x 103 kg 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-fligh

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A small airplane with full fuel tanks, but no occupants or baggage, has a mass of \(1.17 \times 10^3 \, \text{kg}\) and a center of gravity that is \(2.58 \, \text{m}\) behind the nose of the airplane. The pilot’s seat is \(2.67 \, \text{m}\) behind the nose, and the baggage compartment is \(4.30 \, \text{m}\) behind the nose. A \(75 \, \text{kg}\) pilot boards the plane and is the only occupant. If the center of gravity of the airplane with pilot can be no more than \(2.76 \, \text{m}\) behind the nose for in-flight stability, what is the maximum mass that the baggage compartment can hold?
Transcribed Image Text:A small airplane with full fuel tanks, but no occupants or baggage, has a mass of \(1.17 \times 10^3 \, \text{kg}\) and a center of gravity that is \(2.58 \, \text{m}\) behind the nose of the airplane. The pilot’s seat is \(2.67 \, \text{m}\) behind the nose, and the baggage compartment is \(4.30 \, \text{m}\) behind the nose. A \(75 \, \text{kg}\) pilot boards the plane and is the only occupant. If the center of gravity of the airplane with pilot can be no more than \(2.76 \, \text{m}\) behind the nose for in-flight stability, what is the maximum mass that the baggage compartment can hold?
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