Science & Laboratory

Gravitational Force Converter

The Invisible Thread. Calculate the attraction between any two objects in the universe using Newtons Law of Universal Gravitation.

Gravitational Force (N)
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The Equation

F = G × (m₁ × m₂) / r²

This formula works perfectly for non-relativistic speeds and non-extreme mass densities.

Scale Examples

Person on Earth~686 N
Earth and Moon~2.0e20 N
Sun and Earth~3.5e22 N

The Universal Authority of Gravity

Before Albert Einsteins General Relativity reimagined gravity as the curvature of spacetime, Isaac Newton provided a revolutionary mathematical framework that unified the motion of apples on Earth and planets in the heavens: The Law of Universal Gravitation.

Inverse Square Law Explained

The most crucial aspect of Newtons Law is the relationship with distance ($r$). Because the force is divided by the square of the distance, gravity weakens rapidly as objects move apart. This is why you feel no gravitational pull from a skyscraper, yet it is enough to keep the Earth in orbit around the distant Sun. If gravity were a simple linear relationship, the structure of the universe as we know it—planets, solar systems, and galaxies—could not exist.

Mass and Weight

In everyday language, we often use "weight" and "mass" interchangeably, but in physics, they are distinct. Mass is an intrinsic property of an object (measured in kilograms). Weight is the measurement of the gravitational force exerted on that mass (measured in Newtons). On the Moon, your mass remains exactly the same, but your weight is roughly 1/6th of what it is on Earth because the Moons mass is smaller and its radius is different.

Gravity Constant Matrix

While Newtons law is universal, the "strength" of gravity at a surface depends on the celestial bodies local environment. Below are typical gravitational field strengths ($g$):

Body Surface Gravity ($g$) Weight of 100kg
Earth 9.81 m/s² 981 N
Mars 3.71 m/s² 371 N
Jupiter 24.79 m/s² 2,479 N

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Frequently Asked Questions

What is Newtons Law of Universal Gravitation?

It states that every particle attracts every other particle in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

What is the Big G in physics?

G is the Universal Gravitational Constant, approximately 6.67430 × 10⁻¹¹ N·m²/kg².

How does distance affect gravity?

Gravity follows an inverse-square law. If you double the distance between two objects, the gravitational force becomes four times weaker.