Question

what are the difference between g and G? Are both of them universal constants?​

Answer 1

Answer:

Yes, there are differences be "g" and "G".

The differences are as follows:

1. "g" refers to the Gravitational acceleration on a planet. But "G" refers to the Universal gravitational constant.

2. "g" is planet dependent ( i.e dependent on the mass and radius of the planet).

But "G" is a constant and planet independent.

3. The dimensional analysis of "g" and "G" are different.

Dimensions of "g" = [L T^(-2)]

Dimensions of "G" =

[ M^(-2) L^(-1) T^(-2)]

THE MAIN RELATIONSHIP BETWEEN

"g" and "G" is

g = [{G* (M1*M2)}/ R^2],

where M1 and M2 are the masses of the planets , and R is the separation distance.

Answer 2

Answer:

Explanation:

G ;

G is universal gravitational constant. Its value is constant, wherever you go to the universe. G=(6.67408*10^-11) m^3 kg^-1 s^-2.

Force of gravitation between any two bodies of universe=GMm/(R)^2.

g ;

g is acceleration due to gravity.

Its value changes. It(acceleration) decreases as you move away from an object(earth) because force of gravity also decreases.

We know that F=ma

g is acceleration due to gravity. So when we talk about gravity, F=mg.

mg=GMm/(R)^2

g=GM/(R)^2.

On the surface of earth g is 9.8 m/s^2.

g changes whenever M or R change.

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