The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the velocity. If a wind of 50 mph exerts a force of 50 lbs on a surface of 1/2ft^2, how much force will a wind of 150 mph place on a surface of 3ft^2?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the velocity. If a wind of 50 mph exerts a force of 50 lbs on a surface of 1/2ft^2, how much force will a wind of 150 mph place on a surface of 3ft^2?

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