Gravitational Force Formula

Gravitational force is the force of attraction between any two masses, and a gravitational force plays an essential role in the universe. This force pulls objects toward each other; its strength depends upon the masses involved and the distance between them. It is this force that keeps the planets around the Sun, the moon around the Earth, and gives weight to objects on Earth. Moreover, gravitational force accounts for many natural events and phenomena such as ocean tides and the coalescence of celestial bodies so that it is very important in understanding both cosmic structures and everyday experience.

Formula 

Newton's law of gravity states that the gravitational force between two bodies is proportional to their masses, and inversely proportional to the square of the distance between them. All bodies including you are pulling on every other body in the whole universe! This phenomenon is called Newton's Universal Law of Gravitation.

As stated by the Universal  law of gravitation: All bodies in the universe pull all other bodies with a force that is directly proportional to their mass-produced and inversely proportional to the square of distance squared between them.

The formula describing the gravitational force is,

Where,

• G is Universal Gravitational Constant. 

• m1 and m2 are the mass of bodies 

• r is the radius between the two masses 

Solved Problems

Problem 1: If the mass of the sun is 1.99 × 1030 kg and earth is 5.97 × 1024 kg placed apart by the distance 1.5 × 1011 m?(Gravitational constant  ,                                            

Solution:

The gravitational force is given by

Problem 2: What will be the force of gravity between two balls having masses of 2 kg and 3 kg and are separated by a distance of 2m?

Solution:

The gravitational force is given by,