Question

What is Accleration due to gravity ? Explain formula
of relation between g and G and find the value of g

Answer 1

Answer:

the acceleration of a body in free fall under the influence of earth's gravity expressed as the rate of increase of velocity per unit of time and assigned the standard value of 980.665 centimeters per second per second. — called also g.

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Answer 2

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The acceleration due to gravity is the acceleration experienced by an object during free fall when in vacuum due to the gravitational force of the Earth.

The standard value of g is 9.8 m/s2 on the surface of the earth.

• We know that gravitational force

F = GMm/ (r+h)

Where F is the gravitational force,

G is the universal gravitational constant,

M is the mass of the earth,

m is the mass of the body,

h is the height of the object from the surface of the earth,

r is the radius of the earth.

AS h is very small in comparison to the radius (r) of the earth, therefore it can be ignored. Now F becomes:

F = GMm/ r ..(1)

We know that force acting on the body due to gravity is :

F= mg....... (2)

Equating both the equations we get:

mg = GMm/r

g = GM/r2