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

By BYJU'S Exam Prep

Updated on: September 13th, 2023

Acceleration Due to Gravity does not depend upon the Mass of the Object. The assertion is true as we experiment simultaneously with egg and cotton from the same height under no external forces. Both will hit the ground at the same time. The assertion is true, but when other external forces act on the falling body in ideal conditions, you may have a different result. 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?

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. It has a magnitude and a direction. As a result, it is regarded as a vector quantity. m/s2 is its SI unit. The symbol for gravitational acceleration is g. At sea level, the standard value of g on the earth’s surface 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 its mass rather than the object’s mass.

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