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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:

1. √(μs m g R)
2. √(R g / μs)
3. √(m R g / μs)
4. √(μs g R)

Correct answer: √(μs g R)

Solution

The maximum speed in circular motion is determined by the centripetal force, which is provided by static friction. The maximum frictional force is μs * m * g, and equating it to m * v² / R gives v = √(μs * g * R).

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