A car of mass m is moving on a level circular track of radius R. If μs represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by
√Rg/μs
√μsRg
√μsmRg
√mRg/μs
Solution:
For the car to stay in contact with the track, the frictional force is equal to the centripetal force. μsmg ≥ mv²/R v ≤ √μsRg ∴ vmax = √μsRg