# Gravitational Force Formula

Gravitational Force Formula

The universe has numerous forces, a lot of pushes and pulls. One is always pushing or pulling something, even if only the ground. In Physics, there are actually only four essential forces from which everything new is derived: the gravitational force, the electromagnetic force, the strong force and the weak force.

Newton’s law of gravity says that the gravitational force amidst two objects is proportionate to the result of their masses and inversely proportional to the square of the distance amongst them. All bodies, counting you, are tugging on every other body in the whole universe! This is termed as Newton’s Universal Law of Gravitation.

The universal law of gravitation states that:

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

The Gravitational force formula is given by

$F=\frac{Gm_{1}m_{2}}{r^{2}}$

Where,
G is universal gravitational constant,
m1 and m2 are mass of bodies
r is the radius between the two masses

Gravitational Force Problems

Let’s go through some gravitational force problems:

Solved Examples

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

$The\;&space;gravitational\;&space;force\;&space;is\;&space;given\;&space;by$

$F=\frac{Gm_{1}m_{2}}{r^{2}}$

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

$3.5\times&space;10^{22}N$

Problem 2: What will be the force of gravity in between two balls of mass 2kg and 3kg separated by 2m distance?
$The\;&space;gravitational\;&space;force\;&space;is\;&space;given\;&space;by$
$F=\frac{Gm_{1}m_{2}}{r^{2}}$
$=\frac{6.673\times&space;10^{-11}Nm^{2}/Kg^{2}\times&space;2kg\times&space;3kg}{(2m^{2})}$
$1\times&space;10^{-10}N$