A pilot of mass 70 kg in a jet aircraft moves in a vertical circle while executing the loop-the-loop at a constant speed of 200 m/s. If the radius of the circle is 2.5 km what is the force exerted by the seat on the pilot at (a) the top of the loop and (b) the bottom of the loop.

Explanation

To solve the problem, we need to calculate the force exerted by the seat on the pilot at two points in the loop: at the top and at the bottom of the loop.

### Given Data:
- Mass of the pilot (m) = 70 kg
- Speed of the aircraft (v) = 200 m/s
- Radius of the loop (r) = 2.5 km = 2500 m
- Acceleration due to gravity (g) = 9.8 m/s²

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