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AP Physics 1
2.9 Circular Motion
2.5 Newton’s Second Law
2.2 Forces and Free-Body Diagrams
AdvancedMCQMathematicalConceptual20.1k
Cross-sectional view of a vehicle on a frictionless banked curve of radius \(R\).
Cross-sectional view of a vehicle on a frictionless banked curve of radius \(R\).
An engineer designs an icy, frictionless curved roadway for vehicles of mass \(m\) traveling at a constant speed along a horizontal circular path of radius \(R\). The surface of the roadway is banked at a constant angle \(\theta\) above the horizontal. In terms of \(R\), \(g\), and \(\theta\), which of the following expressions gives the ideal speed \(v\) at which a vehicle can negotiate the turn without slipping up or down the incline?

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