Gravitational Force Calculator
Attraction between two masses and the acceleration the larger one produces.
Results
Force
687.3981
N
Acceleration
9.819973
m/s²
Force
70.0951
kgf
What this tool does
The defaults use the mass and mean radius of the Earth, which is why the acceleration comes out close to the familiar 9.81 m/s². Force falls with the square of the distance, so doubling the separation leaves you with a quarter of the pull.
Formula
F = G m₁ m₂ ÷ r² (G = 6,674 30 × 10⁻¹¹ N·m²/kg²)
Variables
| Symbol | Meaning | Unit |
|---|---|---|
m1 | First mass | kg |
m2 | Second mass | kg |
r | Distance | m |
F | Force | N |
A1 | Acceleration | m/s² |
FK | Force | kgf |
Worked example
- First mass5.972e+24 kg
- Second mass70 kg
- Distance6,371,000 m
- Force687.3981 N
- Acceleration9.819973 m/s²
- Force70.0951 kgf
Limitations
- The formula assumes ideal conditions: no friction losses, no air resistance and no efficiency losses unless you enter them.
- The default values are typical reference figures, not measurements of your situation. Replace them with your own data whenever you have it.