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# A flat (unbanked) curve on a highway has a radius of 250 m

A flat (unbanked) curve on a highway has a radius of 250 m. A car successfully rounds the curve at a speed of 35 m/s but is on the verge of skidding out.

a. Draw free body diagram of the car.

b. If the coefficient of static friction between the car's tires and the road surface were reduced by a factor of 2, with what maximum speed could the car round the curve without slipping?

c. Suppose the coefficient of friction were increased by a factor of 2, what would be the maximum speed?

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