Law of Universal Gravitation in Physics

 

Introduction:

 

Newton proposed the theory that all objects in the universe attract if each other with a force known as gravitation. The gravitational attraction exists between all bodies. Hence, two stones are not only attracted towards the earth, but also towards each other.

 

Statement:

 

Everybody in the universe attracts every other body with a force, which is directly proportional to the product of masses and inversely proportional to the square of the distance between their centers.

 

Mathematical Expression:

 

Two objects having mass ml and m2 are placed at a distance r. According to Newton’s Law of Universal Gravitation

 

F  <  m1m2 ((Here < represents the sign of proportionality do not write this in your examination)

 

Also F < l/r2 (Here 2 represents square of r)

 

Combining both the equations:

 

F < m1m2/r2

 

Removing the sign of proportionality and introducing a constant:

 

F = G (m1m2/r2)

 

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