How do you derive g=(Gm)/r^2 and V=-(Gm)/r?

1 Answer
Jan 28, 2018

Here you go....

Explanation:

Weight of an object on Earth = Gravitational force exerted on an object by the Earth.
Let us consider a body having mass "m".
mg=G*(mM)/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=(GM)/R^2