# What Does the Value of Acceleration Due to Gravity Does Not Depend upon?

By Manesh Singh|Updated : August 29th, 2022

The Acceleration Due to Gravity does not depend upon the Mass of the Falling Object. The acceleration produced in a freely falling body due to the earth's gravitational pull is known as acceleration due to gravitation.

### 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

Where,

• 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.

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