A car of mass, m, is travelling around a curved section of road that is a 1/4 of a circle with a radius r. The curve is banked so that the road makes an angle e to the horizontal. The road is ice-covered, so assume that friction is negligible. (a) Draw a force diagram for the car. Imagine that you are looking at either the front or the back of the car. (b) Write an expression for the centripetal force that makes the car go around the circular path. (c) Find an expression for the speed that the car must travel to make it around the curve.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter5: More Applications Of Newton’s Laws
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A car of mass, m, is travelling around a curved section of road that is a 1/4 of a circle with a radius r. The curve is banked so that the road makes an angle 0 to the horizontal.
The road is ice-covered, so assume that friction is negligible.
(a) Draw a force diagram for the car. Imagine that you are looking at either the front or the back of the car.
(b) Write an expression for the centripetal force that makes the car go around the circular path.
(c) Find an expression for the speed that the car must travel to make it around the curve.
Transcribed Image Text:A car of mass, m, is travelling around a curved section of road that is a 1/4 of a circle with a radius r. The curve is banked so that the road makes an angle 0 to the horizontal. The road is ice-covered, so assume that friction is negligible. (a) Draw a force diagram for the car. Imagine that you are looking at either the front or the back of the car. (b) Write an expression for the centripetal force that makes the car go around the circular path. (c) Find an expression for the speed that the car must travel to make it around the curve.
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