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A car can barley negotiate a 50.0m unbanked curve when the coeficient of friction betweens the tires and the road is 0.80. How much bank would the curve require if the car is to safetly go around the curve without relying on friction

Draw a picture of the car on a bank of theta degrees.

Notice the weight mg of the car is down, with centripetal force mv^2/r outward. The component of centripetal force up the bank is mv^2/r * cosTheta.

The component of the cars weight mg down the plane is mg SinTheta. Set them equal, and solve for theta.

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