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A curve of radius 180 m is being designed in a new highway to allow cars travelling at 70 km/h to round the curve with

A curve of radius 180 m is being designed in a new highway to allow cars travelling at 70 km/h to round the curve with zero frictional forces. 

a) At what angle must the road be banked?

 b) What is the minimum coefficient of friction that will allow a car to successfully go around the curve at 30 km/h?

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