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The force needed to keep a car from skidding on a curve varies inversely with the radius of the curve and jointly with the weight of the car and the square of the speed. If 4500 pounds of force keeps a 2500 pound car from skidding as it travels at 45 miles per hour on a curve of radius 1000 feet, what force would keep the car from skidding on a curve of radius 800 feet at 60 miles per hour?
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