# What is the formula for Acceleration due to gravity at the surface of the Earth?

Posted in GRAVITATION | Email This Post |If M is the mass of the earth, m is the mass of the body which is at the surface of the earth and R is the distance between body and centre of the earth (which is the radius of the earth) . According to the Newton’s law of gravitation the gravitational force experienced by that mass m is given as,

F = G M m/R ^{2} ………………………(1)

As per Newton’s second law of motion, Force = mass × gravity = mg

Substituting value of force in equation 1 we get,

G M m/R ^{2} = m g

**The formula for Acceleration due to gravity at the surface of the Earth is given as,**

g = G M /R ^{2}

Where g =** ** Acceleration due to gravity, G = Universal Gravitational Constant, M = mass of the earth and R = radius of the earth