Question

state Newton's law of gravitation derive the relation between acceleration due to gravity and gravitational constant​

Answer 1

Answer:

Although there exists a formula to express the relation between g and G in physics, there is no correlation between acceleration due to gravity and universal gravitation constant, as the value of G is constant. The value of G is constant at any point in this universe. G and g are not dependent on each other.

Answer 2

Answer:

According to newtons law of gravitational :

"Every particle of the matter in the universe attract every other particle in the force that is directly proportional to the product of the masses  of the particles and inversely proportional  to the square of the distance between them "

F={Gm1m2/r2}

G is universal gravitational constant

Now,if one of the two masses in m1 and m2 is earth's mass [M]

and another mass [M] is a block kept on the earth's surface .Then the distance between the centre of the earth is kept to radius of the earth .

∴ Force on block =F=GMm/R2

Where R is the radius of the earth

Acceleration due to gravity = g=F/m=GMm/R2×M

=g=Gm/R2

This is the relation between universal gravitational constant and gravitational acceleration on the surface of the earth.