Gravitational Force Calculator

Gravitational Force Calculation

Enter the masses and distance between two objects to calculate the gravitational force.

Gravitational Force Calculator

Mass of Object 1 (\( m_1 \), kg):

Mass of Object 2 (\( m_2 \), kg):

Distance (\( r \), m):

Formula Used:

The gravitational force (\( F \)) between two objects is calculated using Newton's Law of Universal Gravitation:

\[ F = G \cdot \frac{m_1 \cdot m_2}{r^2} \]

Where:

\( F \): Gravitational Force (Newtons, N)
\( G \): Gravitational Constant (\( 6.674 \times 10^{-11} \, \text{N·m}^2/\text{kg}^2 \))
\( m_1 \): Mass of the first object (kg)
\( m_2 \): Mass of the second object (kg)
\( r \): Distance between the centers of the objects (m)

Example: If \( m_1 = 5 \times 10^{24} \) kg, \( m_2 = 7 \times 10^{22} \) kg, and \( r = 3.84 \times 10^8 \) m, then:

\[ F = 6.674 \times 10^{-11} \cdot \frac{(5 \times 10^{24}) \cdot (7 \times 10^{22})}{(3.84 \times 10^8)^2} \approx 1.99 \times 10^{20} \, \text{N} \]