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Weight, Normal, Friction: During a freeway safety review, you are studying a piece of one road with a curve that is essentially 1/8 of a circle with a radius of 0.5 miles. The curve is banked so that the road makes an angle of 4 degrees to the horizontal throughout the curve. Your boss asks you to help determine the speed limit for a standard passenger car (about 2000 lbs) to complete the turn. You decide to start by considering the worst-case scenario, a slick, ice-covered road, and finding the constant speed a car must travel in order to maintain a horizontal path through the turn.

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