If a car goes through a curve too fast, the car tends to slide out of the curve. For a banked curve with friction, a frictional force acts on a fast car to oppose the tendency to slide out of the curve; the force is directed down the bank (in the direction water would drain). Consider a circular curve of radius R = 200 m and bank angle , where the coefficient of static friction between tires and pavement is s. A car is driven around the curve. For a bank angle of = 10 find the ratio of the maximum car speed vmax that puts the car on the verge of sliding out for u*s = 0.60 (dry pavement) to that for u*s = 0.050 (wet or icy pavement). (Now you can see why accidents occur in highway curves when icy conditions are not obvious to drivers, who tend to drive at normal speeds.)