Question

what is the relation between acceleration due to gravity and universal gravitational contstant

Answer 1

Gravitational force is given by
F = GMm/r^2

Here F = ma = mg

Therefore,
mg = GMm/r^2
Divide both sides by m
g = GM / r^2

In above g and G relation
g = acceleration due to gravity of planet
G = universal gravitational constant
M = mass of planet
r = radius of planet

Answer 2

Acceleration due to gravity "g" is expressed by
g = GM/r^2

where,G = Universal gravitational constant!

M = Mass of the earth

R = Radius of the earth

This is the relation  between acceleration due to gravity and Gravitational constant