Question

Explain the equation relating g
and G.
​

Answer 1

Answer:

G stands for Newton's universal gravitational constant, whereas g stands for the acceleration due to gravity at a certain point. ... (According to Newton's law of universal gravitation the force of attraction between two bodies is given by F = GMm/r 2, where the symbols stand for their usual well known meanings.

g=GM/r^2

Answer 2

Equation relating to g and G....!!

Here

g = Acceleration due to gravity

G = Gravitational constant

Suppose a body of mass "m" is on the surface of the earth.

➡️M is mass of the earth

➡️R is radius of the earth

Earth attracts every body towards its center.

Force due to gravity ,

$\underline{\boxed{\sf{\pink{F=W=mg}}}}$ ---->(1)

According to Newton's universal law of gravitation,

F = $\frac{GMm}{R^{2}}$ ----->(2)

From 1 and 2

mg = $\frac{GMm}{R^{2}}$

g=$\frac{GM}{R^{2}}$

This relation is valid for any planet including Earth .