A fighter pilot sits on a bathroom scale in her cockpit as she moves in a straight and level flight at 200 m/s. The scale reads 450 N. She then pulls the nose up into a backward loop into a perfect circle with radius of 1.3 km. Assume constant speed throughout the maneuver.
Determine the pilot's mass and the reading on the scale when she is halfway up the front of the circle, at the very top of the circle and at the bottom of the circle. Include free body diagrams.