What is the Acceleration Due to Gravity?
Acceleration due to Gravity is known to be the acceleration gained by an object due to gravitational Force. It has direction and magnitude; hence, it's considered a vector quantity. Its SI unit is m/s2. Acceleration due to Gravity is represented as 'g.' The standard value of the 'g' on the earth's surface at sea level is 9.8 m/s2.
The Formula of Acceleration Due to Gravity
The Force acting on a body due to Gravity is given by f = mg
Where f denotes the Force working on the body
g indicates the acceleration due to Gravity,
m represents the mass of the body.
Now, according to the universal law of gravitation,
f = GmM/(r+h)2
- f = the Force between two bodies,
- G = universal gravitational constant (6.67×10-11 Nm2/kg2)
- m = mass of the object,
- M = mass of the earth,
- r = radius of the earth.
- h = height at which the body is from the earth's surface.
This helps us understand the following:
- Irrespective of the different masses, All bodies experience the same acceleration due to Gravity.
- Its value on earth depends upon the earth's mass rather than the object's mass.