Gravitational Force Calculator

Formula

To calculate the gravitational force:

\[ F = \frac{G \cdot m1 \cdot m2}{d^2} \]

Where:

\(F\) is the Gravitational Force (N)
\(G\) is the Gravitational Constant (approximately \(6.67430 \times 10^{-11} \, \text{N·m}^2/\text{kg}^2\))
\(m1\) is the first mass (kg)
\(m2\) is the second mass (kg)
\(d\) is the distance between the centers of the two masses (m)

What is Gravitational Force?

Gravitational force is the attractive force that exists between any two masses. This force is one of the four fundamental forces of nature and is described by Newton’s law of universal gravitation. The gravitational force between two objects depends on their masses and the distance between them. It is always attractive and acts along the line joining the centers of the two masses. Gravitational force is responsible for the motion of planets, the formation of tides, and many other natural phenomena.

Example Calculation 1

Let's assume the following values:

Mass 1 (\(m1\)) = 5 kg
Mass 2 (\(m2\)) = 10 kg
Distance (\(d\)) = 2 m

Using the formula:

\[ F = \frac{6.67430 \times 10^{-11} \cdot 5 \cdot 10}{2^2} = \frac{3.33715 \times 10^{-9}}{4} = 8.342875 \times 10^{-10} \, \text{N} \]

The Gravitational Force is \(8.342875 \times 10^{-10}\) N.

Example Calculation 2

Let's assume the following values:

Mass 1 (\(m1\)) = 100 kg
Mass 2 (\(m2\)) = 200 kg
Distance (\(d\)) = 10 m

Using the formula:

\[ F = \frac{6.67430 \times 10^{-11} \cdot 100 \cdot 200}{10^2} = \frac{1.33486 \times 10^{-6}}{100} = 1.33486 \times 10^{-8} \, \text{N} \]

The Gravitational Force is \(1.33486 \times 10^{-8}\) N.