A 2500 pound automobile is negotiating acircular interchange of radius r = 300 feet at s = 35miles per hour (see figure). Assuming the roadway is level, findthe force between the tires and the road such that the car stays onthe circular path and does not skid. (Use F =ma, where m = 2500/32.) Find the angle at which the roadway shouldbe banked so that no lateral frictional force is exerted on thetires of the automobile. (Give your answer correct to 1 decimalplace.)

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