document.write( "Question 180824: Solve the Variation Problem\r
\n" ); document.write( "\n" ); document.write( "THe force of the wind blowing on a vertical surface varies
\n" ); document.write( "jointly as the area of the surface and the square of the velocity.
\n" ); document.write( "If a wind blowing at 50 mph exerts a force of 75 pounds on a
\n" ); document.write( "surface of 500 ft^2, how much force will a wind of 75 mph place
\n" ); document.write( "on a surface of 10 ft^2?
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Algebra.Com's Answer #135582 by EMStelley(208)\"\" \"About 
You can put this solution on YOUR website!
Joint variation is represented by y=kxz (y varies jointly as x and z). So if the force varies jointly as the area and the square of the velocity, we have that
\n" ); document.write( "\"f=kav%5E2\"
\n" ); document.write( "So, if f=75, a=500 and v=50, we have that
\n" ); document.write( "\"75=k%28500%29%2850%5E2%29\"
\n" ); document.write( "\"75=k%281250000%29%0D%0A%7B%7B%7Bk=0.00006\"
\n" ); document.write( "So, if v=75 and a=10, then
\n" ); document.write( "\"f=0.00006%2810%29%2875%5E2%29\"
\n" ); document.write( "\"f=3.375\"
\n" ); document.write( "So the force is 3.375 lbs.
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