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A race car drives at a speed of 20.0m/s around a circular track banked inwards at...

A race car drives at a speed of 20.0m/s around a circular track banked inwards at an angle of 20.0o from the horizontal. The track is icy, so there is no appreciable friction of the tires on the track. Determine the radius of the track. Submit your answer in the following form:

• List all the physical forces acting on the object. Which one of them supplies a centripetal component?

• Give your numerical answer for the radius of the track.

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Answer #1

The horizontal component of normal force on the car provides centripetal force. The vertical component of normal force balances the weight of the car. We use this to find the required radius as shown below

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