The airplane flies with constant velocity v along a circular path in the vertical plane. T...

The airplane flies with constant velocity v along a circular path in the vertical plane. The radius of the airplane’s circular path is 2000 m. The mass of the pilot is 72 kg.

(a) The pilot will experience “weightlessness” at the top of the circular path if the airplane exerts no net force on him at that point. Draw a free-body diagram of the pilot and use Newton s second law to determine the velocity v necessary to achieve this condition.

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(b) Suppose that you don’t want the force evened on the pilot by the airplane to exceed four times his weight. If he performs this maneuver at v = 200 m/s, what is the minimum acceptable radius of the circular path?