Answer:
[tex]F=mg[/tex]
Explanation:
Close to Earth's surface, the force of gravity that pulls an object towards the ground is
[tex]F=mg[/tex] (2)
where
m is the mass of the object
g is the acceleration due to gravity, which is [tex]9.81 m/s^2[/tex] close to Earth's surface
This is an approximation of the general formula of gravity valid only close to Earth's surface. The more general formula is
[tex]F=G\frac{Mm}{r^2}[/tex] (1)
where
G is the gravitational constant
M is the Earth's mass
m is the object's mass
r is the distance of the object from Earth's center
At the Earth's surface,
r = R (Earth's radius), and by calling the following factor
[tex]g=\frac{GM}{R^2}[/tex]
we see that eq.(1) becomes eq.(2).
