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Gravity Formula

Gravity Formula: Explore more about the Gravity Formula with solved examples.

Gravity Formula

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In physics, gravity is the basic interaction that leads to mutual attractions between all objects of masses or energy.

  • Gravity, also referred to as gravitation, is the force that exists among all material things in the universe. In any two objects or units of non-zero weight, the force of gravity tends to pull against each other. 

  • Newton’s Universal Gravitation Act states:

“Every particle attracts all other particles in the universe with an equal force directly with mass production and in proportion to the square of the distance between them”.

  • However, gravity is the most important interaction between objects on a massive scale, and it determines the movement of planets, stars, galaxies, and even light.


If two masses m1 and m2 are kept at a distance r from each other, the gravity formula is calculated as; 

F = Gm1m2 / r2


F = force due to gravity 

G = gravitational constant with value 6.67 x 10-11 N-m2/kg2

m1 = mass of the 1st body 

m2 = mass of the 2nd body 

r = distance between the two bodies 

In simple terms, 

Gravitational Force = (Gravitational Constant × Mass of first object × Mass of the second object) / (Distance between the centre of two bodies)2.

Solved examples 

1. Calculate the force due to the gravitation applied to two objects weighing 2 Kg and 5 Kg separated by a distance of 5cm?

Solution. Mass of the body 1 = 2 kg 

Mass of the 2nd body = 5 kg

Distance between them = 5 cm

Gravitational constant = 6.67 x 10-11 N-m2/kg2

Put all the above values in the Gravitational force formula; 

F = Gm1m2 / r2

F = 6.67 x 10-11 x 2 x 5 / (5 x 10-2)2

F = 2.668 x 10-7 N 

2. An object weighing 40 Kg gets 200N of energy to the centre of the planet from a distance of 20,000 m. Find the size or mass of the planet.

Solution. Mass of the planet = m1

Mass of the object (m2) = 40 kg 

Distance between the both ® = 20,000 m

Force due to Gravity (F) = 200 N 

By equation;

F = Gm1m2 / r2

200 = 6.67 x 10-11 x m1 x 40 / (20,000)2

m1 = 2.997 x 1019 kg 

Hence, the Mass of the planet (m1) is 2.997 x 1019 kg.


Frequently asked questions

Get answers to the most common queries related to the Gravity Formula.

Who instituted the Law of Universal Gravitation?

Ans. Sir Issac Newton instituted the Law of Universal Gravitation. Law of Universal Gravitation: It is stated that; “Every p...Read full

Write down the formula of Gravitation.

Ans. The gravity formula is;  F = Gm1m...Read full

Write the value for the Gravitational constant in the gravity force formula.

Ans. In the gravity force formula, the value of the Gravitational constant is; G = 6.67 x 10-11...Read full

Elaborate on the rules of gravity.

Ans. In the first rule, an object will not change its movement unless force is applied to it. In the second law, the force of an object is equal to...Read full