05.1 You are designing a banked turn at an automobile racetrack. There are two requirements:
1.) Cars that come to a stop are to not slide down the banking, and
2.) for safety reasons, the maximum speed in the turn without spinning out should be 150 mi/hr. The coefficient of static friction between the track and the tires is 0.400. What are the radius of curvature R and banking angle ? with respect to the horizontal that satisfy these requirements?