Question

Prove that :-
g=GM/R square

Answer 1

Step-by-step explanation:

Weight of an object on Earth = Gravitational force exerted on an object by the Earth.

Let us consider a body having mass "m".

m

g

=

G

⋅

m

M

R

2

where,

g=acceleration due to gravity,

G=Gravitational constant,

M=Mass of the Earth,

and R=radius of the Earth.

Weight of the body (on Earth)=

mass

(

m

)

⋅

gravitational acceleration

(

g

)

Cancel out the

m

on both sides to get:

g

=

G

⋅

M

R

2

=

G/M

R/2