Accelelration due to gravity can be said to be the acceleration gained by a body or object due to gravitational foce.
The unit for acceleration due to gravity is meters per second squared (m/s²).
The standard value of the acceleration due to gravity of the earth at sea level is 9.8 m/s².
The acceleration due to gravity has magnitude and direction because it's a vector.
Close the the surface of the earth, the acceleration due to gravity is constant. But as the distance increases between the body and surface of the earth, the acceleration due to gravity varies.
To find the acce;leration due to gravity, apply the formula:
Where:
g is the acceleration due to gravity
G is the universal gravitational constant = 6.673 x 10⁻¹¹ Nm² kg²
M is the mass of the body
r is the distance from center of the mass of the body.
Let's take the exaple below:
Given:
Radius of moon = 1.74×10⁶m.
Mass of moon = 7.35 x 10²² Kg
Let's find the acceleration due to gravity on the moon';s surface.
Solution:
Here, the radius will also be the distance
Hence, we have: