Question

derive the formula for acceleration due to gravity?????

Answer 1

Fg is the gravitational force ,M is the mass of planet , m is the mass of object and r is distance between the the of masses and g is acceleration due to gravity
as we know
Fg=GMm/r^2
Fg=mg
mg=GMm/r^2
(m cancel on rhs and lhs)
thus
g=GM/r^2
where g doesn't depends on mass of object

hope this will help you

Answer 2

heya !!

here's your answer:-

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

◆Consider an object of mass m lying on or near the surface of the the planet.

◆According to Newton's law of gravitation, the force of attraction (F) between the planet and the object is

F=GMm/R2  ...............1

◆According to Newton's second law of motion this force produces an acceleration (g) in the object.
F = ma (a = g)
F = mg

◆put value of F in equation 1

mg=GMm/R2

g=GM/R2

where

g=gravity on the planet in m/s2

G=gravitational constant

M=mass of the planet

R=radius of planet

◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆◆

i hope it helps u !!!☺