A car is safely negotiating an unbanked circular turn at a speed of 18 m/s. The road is dry, and the maximum static frictional force acts on the tires. Suddenly a long wet patch in the road decreases the maximum static frictional force to one-ninth of its dry-road value. If the car is to continue safely around the curve, to what speed must the driver slow the car?

Answer 1

m v1^2/r = (9) m v2^2/r

v2^2/v1^2 = 1/9
v2/v1 = 1/3

Answer 2

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