SOLUTION: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the speed. If 242 lb. of

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Question 402921: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the speed. If 242 lb. of force keeps a 2000-lb. car from skidding on a curve of radius 500 ft. at 30 mph, what force would keep the same car from skidding on a curve of radius 750ft. at 50mph?
Any help would be Great! Thanks

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the speed" ___ f = k * w * s^2 / r^2

use the given conditions to find k ___ k = (f * r^2) / (w * s^2) = (242 * 500^2) / (2000 * 30^2)

use the calculated value of k to find the new force