Acceleration Due To Gravity And Its Expression

Acceleration due to Gravity:

"The acceleration produced by the motion of a body due to the effect of gravity is known as acceleration due to gravity."

➡It is denoted by g.

➡The value of g near the surface of the Earth is 9.8 metre per second square.

➡The value of acceleration due to gravity g does not depend on the mass of the object.

➡Consider a body of mass m moving with acceleration due to gravity g then the gravitational force on the body is mg, which is called as weight of the body.

➡The force acting on the body due to gravitational pull of the Earth is given by

                     F = mg 

➡According to Newton's universal law of gravitation,

➡Gravitational force F = GMm/R2

Therefore,

mg = GMm/R2

g = GM/R2

Where,

➡G is gravitational constant

➡M is mass of the earth

➡R is radius of the earth

From the above equation we can say that acceleration due to gravity does not depend on mass of the object shape of the object and size of the object but only depends on mass and radius of the earth or  planet.

➡Acceleration due to gravity in terms of radius(R) and mean density:

➡Acceleration due to gravity in terms of mass(M) and mean density: