SOLUTION: The force of a wind blowing perpendicularly onto a flat surface varies as the area of the surface and the square of the velocity of the wind.When the wind is blowing 15 miles per

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Question 815438: The force of a wind blowing perpendicularly onto a flat surface varies as the area of the surface and the square of the velocity of the wind.When the wind is blowing 15 miles per hour the force on an area A is 24 pounds.What is the force on an area 2A when the wind is blowing 20 miles per hour?
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The force of a wind blowing perpendicularly onto a flat surface varies as the area of the surface and the square of the velocity of the wind.When the wind is blowing 15 miles per hour the force on an area A is 24 pounds.What is the force on an area 2A when the wind is blowing 20 miles per hour?
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F = k*A*v^2
24 = k*A*15^2
k*A = 24/225 = 8/75
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F = k*2A*20^2
F = (8/75)*800
F = 256/3 = 85.33 pounds