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Chapter 5: Problem 3

A jet plane flies at constant speed in a vertical circular loop. At what point in the loop does the seat exert the greatest force on the pilot? The least force?

Short Answer

Expert verified
The seat exerts the greatest force on the pilot at the bottom of the loop and the least force at the top of the loop.

Step by step solution

01

- Understand centripetal and gravitational forces

Centripetal force is the net force causing the circular motion of the jet plane. This force is always directed towards the center of the circle. Gravity is a force exerted on every object, pulling it towards the earth's center. These forces interact differently at various points on the loop.
02

- Point of greatest force

The greatest force experienced by the pilot from the seat occurs at the bottom of the loop. This occurs due to both the centripetal force and gravity acting in the same direction. The total force at this point is the sum of the centripetal force and the gravitational force.
03

- Point of least force

The least force will be exerted on the pilot at the top of the loop. At the top of the loop, the gravitational force and centripetal forces have opposite directions. The net force is the difference between the centripetal force and the gravitational force. Given that the aircraft is moving at a constant speed and presuming the loop is perfectly circular, the net force will be minimum at the top of the loop.

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