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On an icy winter day, the coefficient of friction between the tires of a car and...

On an icy winter day, the coefficient of friction between the tires of a car and a roadway is reduced to 1/4 its value on a dry day. As a result, the maximum speed vmax dry at which the car can safely negotiate a curve of radius R is reduced. The new value for this speed is what percentage of its value on a dry day?

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Answer #1

Let’s first obtain the formula for maximum safe speed of a car when it is dry day. In the case of a motion of the car along a flat curved road, the force of friction provides the necessary centripetal force:

Therefore, the new value for this speed is 50% of its value on a dry day

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