A region known as the gravitational field acts around the Earth. Its main objective is to attract all bodies to the center of the Earth. This attraction takes place through the influence of a force, the gravitational force.
Any body can be influenced by this force. According to Newton, this is because the body's weight is always directed towards the center of the Earth.
When bodies reach the gravitational field, their speed varies, because they acquire acceleration, here called gravity acceleration, represented by the letter g.
This acceleration is split in two.
1st – Acceleration of Gravity on the Earth's surface.
Bodies on the Earth's surface, being drawn to its center.
The images show that every body placed on the Earth's surface is influenced by the weight force, which attracts these bodies to the center of the Earth.
The mathematical representation for this phenomenon is given by the equation:
Where:
P = body weight
m = body mass
g = gravity acceleration
We also have to consider Newton's Theory which says that the gravitational attraction force that exists between the Earth and the body is given by the equation:
There is also another equation, capable of calculating the acceleration of gravity on any planetary surface.
2nd – Gravity Acceleration for bodies outside the Earth.
In the background we see the Moon - Body outside the Earth
To calculate and analyze bodies that are at a certain height from the Earth's surface, we use the following mathematical equation:
It is important to say that the acceleration of gravity on bodies outside the Earth's surface happens because there is a speed that enables impulse, due to a centripetal force, which causes a circular trajectory, thus causing the body to enter into orbit.
By Talita A. angels
Graduated in Physics
Brazil School Team
mechanics - Physics - Brazil School
Source: Brazil School - https://brasilescola.uol.com.br/fisica/a-aceleracao-gravidade.htm