Why air resistance has less force than gravitation force in free fall?

[Benjamin_harsh]

Homework Statement

Why air resistance has less force than gravitation force in free fall?

Relevant Equations

net force is not equal to zero.

Why air resistance has less force than gravitation force in free fall?

If Egg is fall from a nest of tree, while falling, it has less magnitude of air resistance than gravitation force.
Where net force is not equal to zero.

 

[phinds]

Problem Statement: Why air resistance has less force than gravitation force in free fall?

What research have you done on this? What have you found out?

If you open your palm vertically and swing your arm around, does air resistance overcome your arm's force? Why not?

 

[Chestermiller]

Problem Statement: Why air resistance has less force than gravitation force in free fall?
Relevant Equations: net force is not equal to zero.

Why air resistance has less force than gravitation force in free fall?

If Egg is fall from a nest of tree, while falling, it has less magnitude of air resistance than gravitation force.
Where net force is not equal to zero.

Put the egg in a 100 km/hr updraft and see which wins out.

 

[kuruman]

As soon as you release the egg (no updrafts) its acceleration is g. Instantaneously at the moment of release, the net force on the egg is equal to its weight and its speed is zero. There is no air resistance opposing the motion because there is no motion. As time increases
a. the speed will increase as long as there is non-zero acceleration but
b. increasing speed means increasing air resistance which implies that
c. the net force will be less than the weight nevertheless
d. the speed and hence the air resistance will keep increasing because there is still acceleration therefore
e. there will come a time when the speed is such that the air resistance has become large enough to equal the weight which makes the net force equal to zero.

At that time the falling egg has zero acceleration and its speed no longer changes, i.e. it has reached terminal velocity.

All this is neatly summarized with a differential equation $$m\frac{dv}{dt}=-mg+u(v)$$where $v$ is the speed of the falling object and $u(v)$ is a function of speed (usually a power law) such that $u(0)=0$.

 

[DaveE]

Problem Statement: Why air resistance has less force than gravitation force in free fall?

I don't know if you summarized or translated your original homework question, so interpret my comment accordingly.
However, it just drives me crazy when instructors ask questions like this that are untrue, incomplete, or misleading. Of course the students are confused, the question makes no sense. The solution to most all physics problems requires the student to be precise in how they model, evaluate, and solve the system or questions posed. How are they expected to learn this when they are set up this way?