Solve the problem. Round to the nearest tenth unless indicated otherwise.
-The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the carʹs speed, and inversely as the radius of the curve. If a force of 3600 pounds is
Needed to keep an 1800 pound car traveling at 20 mph from skidding on a curve of radius 600 feet,
What force would be required to keep the same car from skidding on a curve of radius 660 feet at
40 mph? Round your answer to the nearest pound of force.
A) 12,959 lb
B) 13,123 lb
C) 13,091 lb
D) 13,661 lb

Question

Quizplus · Accepted Answer

The force F is given by the formula F = k * (W * v^2) / r, where k is a constant, W is the weight, v is the speed, and r is the radius. First, find k using the given values: 3600 = k * (1800 * 20^2) / 600. Solving for k gives k = 3. Then, use this k to find the new force: F = 3 * (1800 * 40^2) / 660, which calculates to approximately 13,091 pounds.

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