Discover and compute gravitational force instantly. Empower your curiosity and simplify complex physics with this intuitive, science-backed calculator.
Getting started is easy—follow these steps to calculate gravitational force in seconds:
Gravitational force is one of the four fundamental forces in physics. It governs the attraction between any two bodies with mass. This calculator helps quantify that attraction based on Newton’s Law of Universal Gravitation.
F = G * (m₁ * m₂) / r²Mass of Earth: 5.972 × 10²⁴ kg
Mass of Moon: 7.348 × 10²² kg
Distance: 384,400 km
F = G * (5.972e24 * 7.348e22) / (3.844e8)² ≈ 1.982 × 10²⁰ NThis is the force responsible for the Moon's orbit.
Two 70 kg individuals standing 1 m apart experience:
F = G * (70 * 70) / (1)² ≈ 3.27 × 10⁻⁷ NThis force exists but is negligible in daily life.
Combining proportionalities:
F ∝ m₁ * m₂
F ∝ 1 / r²
⇒ F = G * (m₁ * m₂) / r²G is measured experimentally and is constant across the universe.
Try it now to explore the invisible forces shaping our universe!
| Mass 1 | Mass 2 | Distance | Force |
|---|---|---|---|
| 5.972e24 kg | 7.348e22 kg | 3.844e8 m | 1.982e20 N |
| 70 kg | 70 kg | 1 m | 3.27e-7 N |
| 1e30 kg | 1e30 kg | 1e9 m | 6.674e31 N |
| 1 kg | 1 kg | 1e-10 m | 6.674e-1 N |
| 0 kg | 1000 kg | 10 m | 0 N |