⚛️ Physics Calculator

Gravitational Force
Calculator

Calculate the gravitational force between any two masses using Newton's law of universal gravitation. Works for planets, stars, or everyday objects.

📐 Formula
F = G × (m₁ × m₂) / r²
F = Gravitational force in Newtons (N)
G = Gravitational constant — 6.674 × 10⁻¹¹ N·m²/kg²
m₁ = Mass of first object (kg)
m₂ = Mass of second object (kg)
r = Distance between centres of the two masses (m)
🌍 Gravitational Force Calculator

Newton's Law of Universal Gravitation

Every object in the universe with mass attracts every other object with mass. This is Newton's law of universal gravitation, published in 1687. The force is always attractive — it pulls masses together, never pushes them apart.

The inverse square law

The distance term is squared in the denominator, which means gravitational force drops off rapidly with distance. If you double the distance between two objects, the gravitational force becomes four times weaker. Triple the distance, and it becomes nine times weaker.

🌍 Earth–Moon gravity: The gravitational force between Earth and the Moon is approximately 1.98 × 10²⁰ Newtons. This enormous force is what keeps the Moon in orbit and drives our ocean tides.

Why do we feel weightless in space?

Astronauts on the ISS are NOT outside Earth's gravity — at 408 km altitude, gravity is still about 90% as strong as on the surface. They feel weightless because they are in free fall — constantly falling toward Earth, but moving sideways fast enough to keep missing it.

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