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# Gravitational Force Formula

The universe has a lot of forces, a lot of pushes and pulls. We're always pushing or pulling something, even if only the ground. But it turns out that in physics, there are really only four fundamental forces from which everything else is derived: the strong force, the weak force, the electromagnetic force, and the gravitational force.

Newton's law of gravity states that the gravitational force between two bodies is proportional to the product of their masses and inversely proportional to the square of the distance between them. Every object, including you, is pulling on every other object in the entire universe! This is called Newton's Universal Law of Gravitation.

The universal law of gravitation states that:

Every body in the universe attracts every other body with a force which is directly proportional to the product of their masses and inversely proportional to square of distance between them.

The Gravitational force formula is given by
Where,
G is universal gravitational constant,
m1 and m2 are mass of bodies
r is the radius between the two masses

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## Gravitational Force Problems

Lets go through some gravitational force problems:

### Solved Examples

Question 1: Calculate the gravitational force if mass of sun is 1.99 $\times$ 1030 kg and earth is 5.97 $\times$ 1024 kg separated by the distance 1.5 $\times$ 1011m ?(Gravitational constant G = 6.673 $\times$ 10-11 Nm2/Kg2
Solution:

The gravitational force is given by
F = $\frac{Gm_1m_2}{r^2}$

= $\frac{6.673 \times 10^{-11} Nm^2/Kg^2 \times 1.99 \times 10^{30} kg \times 5.97 \times 10^{24} kg}{(1.5 \times 10^{11}m)^2}$

= 3.5 $\times$ 1022 N.

Question 2: what is the force of gravity between two balls of mass 2kg and 3kg separated by 2m distance ?
Solution:

The gravitational force is given by
F = $\frac{Gm_1m_2}{r^2}$

= $\frac{6.673 \times 10^{-11} Nm^2/Kg^2 \times 2 kg \times 3 \times kg}{(2m)^2}$

= 1 $\times$ 10-10N.

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