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AP Physics 1
2.9 Circular Motion
2.5 Newton’s Second Law
2.2 Forces and Free-Body Diagrams
AdvancedMCQMathematicalConceptual17.4k
Cross section of a car on a track banked at angle \(\theta\) with downward force \(F_0\).
Cross section of a car on a track banked at angle \(\theta\) with downward force \(F_0\).
A race car of mass \(m\) travels at a constant speed \(v\) along a circular track of radius \(R\) that is banked at an angle \(\theta\) above the horizontal. An aerodynamic spoiler directs airflow to produce a constant, vertically downward force of magnitude \(F_0\) on the car. Assuming friction between the tires and the track is negligible, which of the following expressions represents the speed \(v\) required for the car to maintain a horizontal circle of radius \(R\) without sliding?

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