Mathematically, this relationship can be expressed as:
F = Gm1m2/r^2
Where:
- F is the force of gravity between the two objects
- G is the gravitational constant (approximately 6.674 × 10^-11 N m^2 kg^2)
- m1 and m2 are the masses of the two objects
- r is the distance between the centers of the two objects
So, we can see that as the distance (r) between two objects increases, the force of gravity (F) between them decreases. This is why astronauts experience weightlessness in space, as they are far away from Earth's center and the force of gravity acting on them is very weak.