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Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present. (a) Find the y-component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. (b) Find the x-component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. (c) Write an expression for the tan(θ)
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