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 car's speed. Suppose that 200 pounds of force keeps a 3200 -pound car from skidding on a curve of radius 400ft at 25mph . What force would keep the same car from skidding on a curve of radius 550ft at 55mph ?

Question

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 car's speed. Suppose that
200

pounds of force keeps a
3200

-pound car from skidding on a curve of radius
400
ft

at
25
mph

. What force would keep the same car from skidding on a curve of radius
550
ft

at
55
mph

?

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