SOLUTION: 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 40 mph exerts a force of 50 lb on a surfa

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 40 mph exerts a force of 50 lb on a surfa      Log On


   

Question 1053774: 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 40 mph exerts a force of 50 lb on a surface of 1/2 feet square, how much force will a wind of 80 mph place on a surface of 2 ft square?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+50+=+k%2A40%2A%28+1%2F2+%29+
+50+=+20k+
+k+=+5%2F2+
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+f+=+k%2A80%2A2+
+f+=+%285%2F2%29%2A80%2A2+
+f+=+400+
The force is 400 pounds