 # The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area of 300 square feet is 12,000 pounds when the plane is going 110 miles per hour. Find the lifting force on the wing if the plane slows down to 100 miles per hour. Makayla Reilly 2022-09-13 Answered
The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area of 300 square feet is 12,000 pounds when the plane is going 110 miles per hour. Find the lifting force on the wing if the plane slows down to 100 miles per hour.
You can still ask an expert for help

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it Penelope Powers
The lifting force F. Varies Jointty as the area A of Square of velocity V
So,
$F\propto A{v}^{2}\phantom{\rule{0ex}{0ex}}F=kA{v}^{2}$
Now,
At
So,
$12000=k\left(300\right)\left(110{\right)}^{2}\phantom{\rule{0ex}{0ex}}⇒k=\frac{12000}{\left(300\right)\left(110{\right)}^{2}}$
Now

We have step-by-step solutions for your answer!