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

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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

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