• happykiddo
A 1.4-kg ball is hanging from the end of a rope. The rope hangs at an angle 27° from the vertical when a 16 m/s horizontal wind is blowing. If the wind's force on the rope is negligible, what drag force in Newtons does the wind exert on the ball?
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
  • matt101
This is a force equilibrium. We need to find balanced forces and set up an equation to find the unknown. In this case, we want to know the drag force of the wind, D, which is operating in the horizontal direction. It pushes the ball until the "weight" of the ball balances the drag force. I put weight in quotes because it's not the full weight (mg) of the ball being balanced - rather, it's the horizontal component of the TENSION force in the rope suspending the ball. So we need an expression for this horizontal tension force. If you sketch out the ball on a rope at an angle 27° to the vertical, you'll find the horizontal component is equal to mgsin27°. This balances the drag force exactly, so now we have an equation: \[D=mg \sin27°\]\[D=(1.4)(9.8) \sin 27°\]\[D=6.23\] The drag force is 6.23 N. Notice it didn't matter what the speed of the wind was!
  • happykiddo
Thank you! I was over complicating the problem.

Looking for something else?

Not the answer you are looking for? Search for more explanations.