What is the max speed a car can travel around a given radius?

Ham

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Assume that a driver (car modeled as a point mass) is negotiating a circular turn with a radius of 160 ft. The car and driver have a combined mass of 3800 lb and the coefficient of friction between the car and the road is u1=0.85. What is the max constant speed the car can travel and remain on the given radius?
 
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