Statement and explanation of Equivalence Principle
The equivalence principle is one of the fundamental laws of physics
Equivalent principle states that the gravitational force and inertial forces are similar in nature and often indistinguishable.
We know that gravitational mass is the charge to which gravity couples, while inertial mass is a measure of how fast an object accelerates-providing the same force.
It is stated as: where is the force, is the mass of the body, and is the acceleration
It implies that with the increasing inertial mass, acceleration decreases.
From the equivalence principle, we know that the gravitational mass and the inertial mass are the same things.
Therefore, the gravitational force is directly proportional to the inertial mass, and it is independent of the type of matter.
This implies the universality of free fall (UFF) that is in a free fall all objects fall with the same acceleration, that is