Gravitational Force Calculator - Newton's Law of Gravitation Solver

Gravitational Force Calculator

Calculate the gravitational pull between two masses using Newton's law ($F = G \cdot \frac{m_1 \cdot m_2}{r^2}$).

Mass 1 ($m_1$ in kg):

Mass 2 ($m_2$ in kg):

Distance between centers ($r$ in meters):

Gravitational Force ($F$)

0.00 N

In Kilonewtons (kN)

0.00 kN

Constant ($G$) Used

$6.674 \times 10^{-11}$

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Gravitational Force Calculator: Newton's Law of Gravitation Explained

According to Sir Isaac Newton's Universal Law of Gravitation, every particle attracts every other particle in the universe with a force proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Our free Gravitational Force Calculator allows physics students and researchers to calculate the attractive force between two massive objects easily using standard international units.

The Core Formula

Universal Gravitation Equation:
$$\mathbf{F = G \cdot \frac{m_1 \cdot m_2}{r^2}}$$
Where:
• $\mathbf{F}$ = Gravitational Force in Newtons ($\text{N}$)
• $\mathbf{G}$ = Gravitational Constant ($6.6743 \times 10^{-11}\text{ N}\cdot\text{m}^2/\text{kg}^2$)
• $\mathbf{m_1, m_2}$ = Masses of the two objects ($\text{kg}$)
• $\mathbf{r}$ = Distance between the centers of the masses ($\text{m}$)

Frequently Asked Questions (FAQs)

Why is the gravitational constant ($G$) so small?

The gravitational constant is extremely small ($6.674 \times 10^{-11}$), which explains why gravity is an exceptionally weak force on a microscopic scale and only becomes noticeable when dealing with massive planetary bodies.