Question

Obtain Relation between '9' and 'G'​

Answer 1

Answer:

Relation between " g " and

" G " :-

Consider a body of mass ( m ) is on the earth surface , mass of the earth ( M ) and the distance between body and mass is " R " therefore according to universal law

F = GMm / R² ====> eqn 1

From Newton's Second law

F = ma = mg ===> eqn 2 [ due to gravity ]

From eqn 1 and 2

mg = GMm / R²

[ m cancel on both sides ]

g = GM / R²

Here ,

G = Gravitational constant

g = acceleration due to gravity

Answer 2

Answer:

f=ma ------1

f=G*M* m/d2-------2

by 1 and 2

ma=G*M*m/d2 on upward and downward motionunder the influence of gravity

a=g

so, mg=G*M*m/d2 cancelling m from both sides

g=G*M/r2

This is an equation on relation of g and G.

also, G=g*r2/M