Force during Free Fall
The force during Free fall is nothing but the force of Gravitation acting between the object and Earth. While Solving for the Force acting between the object and earth, the height at which the object is dropped is neglected since it has no value as compared to the radius of the earth (R = 6378 km).
Force of Gravitation ⇢ [Tex]F = \frac{GMm}{(h+R)^2}[/Tex]
Since, h<<R
Hence, Height at which the object is dropped can be ignored.
[Tex]F = \frac{GMm}{R^2}[/Tex]
Force is defined as, F=ma
Here, a=g (acceleration due to gravity).
[Tex]F = mg= \frac{GMm}{R^2}[/Tex]
[Tex] mg= \frac{GMm}{R^2}[/Tex]
[Tex] g= \frac{Gm}{R^2}[/Tex]
Where,
G = Gravitational Constant [6.67×10-11 m3kg-1s-2
m = mass of the object
R = Radius of the Earth (6378 km)
Free Fall
There are always two cases of things falling to the ground. One is when something is thrown to the ground, for example, throwing a ball. While the other case is when something is dropped to the ground, For example, dropping the ball or accidentally dropping the phone from hands (It will break for sure). These two cases are evidence of the effect of gravity discovered by Sir Isaac Newton.
Table of Content
- What is Free Fall?
- Force during Free Fall
- Gravitational Representation of Free Fall