What is the resultant force acting on a skydiver in free fall?

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SUMMARY

The resultant force acting on a 75 kg skydiver in free fall is determined by combining the forces of air resistance and crosswind. The vertical air resistance force of 100 Newtons acts upward, while the crosswind exerts a force of 60 Newtons horizontally. The correct resultant force is calculated using vector addition, resulting in a magnitude of 638.6 Newtons at an angle of 5.4 degrees to the vertical. This calculation incorporates the downward acceleration due to gravity and the opposing forces acting on the skydiver.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of vector addition
  • Familiarity with forces acting on objects in free fall
  • Concept of air resistance and its effects on falling objects
NEXT STEPS
  • Study vector addition in physics to understand resultant forces
  • Learn about the effects of air resistance on falling objects
  • Explore the principles of free fall and gravitational acceleration
  • Investigate the impact of crosswinds on projectile motion
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators teaching concepts related to motion and forces acting on objects in free fall.

Ali Inam
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Hi guys, please help me with this problem. thanks

A 75 kg sky-diver in free fall is subjected to a crosswind exerting a force of 60 Newton and to a vertical air resistance force of 100 Newton. Describe the resultant force acting on the skydiver.

I used the formula to calculate the resultant force:

Resultant Force (square) = 60 (square ) + 100 (square)

But this formula gave me the answer 117 Newtons

Answer given in my textbook is:

638.6 Newton at an angle of 5.4 degrees to vertical.
 
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Please, follow the pattern provided in the rules section. We cannot provide you any help if you don't post us your attempt to solve the problem.
 
This was my attempt. Couldnt think of any other solution to the problem.
 
I'm so sorry, I didn't see it :blushing::blushing::blushing::blushing::blushing::blushing::blushing:

Have you considered the sky-driver weight?
 
I meant to say that I had revised my question, I have mentioned the formula which I have used as well. Please check.

Thanks
 
Ali Inam said:
I meant to say that I had revised my question, I have mentioned the formula which I have used as well. Please check.

Thanks

Take note of DiracRules's suggestion.

The cross wind acts sideways.
The air resistance acts UP.
Is the sky-diver accelerating UP?
 
The sky diver is in FREE FALL motion, obviously accelerating downwards, I'm still getting my answer wrong though !

:confused:
 
You need to get the resultant vertical force and then use that in addition to the cross wind to get the overall resultant.

Write down the equation for the resultant vertical force.
 
And how do you describe the fact that he is free falling in terms of forces?
 
  • #10
DiracRules said:
And how do you describe the fact that he is free falling in terms of forces?

Things only travel in the direction of the force.

When the skydiver left the plane, if the cross wind provided the only force, he would have gone sideways.
He didn't he went down; eventually so fast that an upward force of air resistance developed.

WHAT MADE HIM GO DOWN??
 

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