Calculating your gravitational force is straightforward once you know the Gravitational Force formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Gravitational Force Calculator.
What is Gravitational Force?
The Gravitational Force calculation tells you your gravitational force from a few simple inputs. The figure you are solving for here is the gravitational force.
The Gravitational Force formula
The core formula is:
Gravitational force = 6.674e-11 × Mass 1 × Mass 2 ÷ (Distance between centres)^(2)Here is what each input means:
- Mass 1 — a value measured in kg. Example: 5,972,000,000,000,000,327,155,712 kg.
- Mass 2 — a value measured in kg. Example: 70 kg.
- Distance between centres — a value measured in m. Example: 6,371,000 m.
How to calculate it step by step
- Write down the mass 1 (for example, 5,972,000,000,000,000,327,155,712 kg).
- Write down the mass 2 (for example, 70 kg).
- Write down the distance between centres (for example, 6,371,000 m).
- Apply the formula above to get your gravitational force.
- Double-check the result with the Gravitational Force Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Mass 1 | 5,972,000,000,000,000,327,155,712 kg |
| Mass 2 | 70 kg |
| Distance between centres | 6,371,000 m |
| Gravitational force | 0.0000 |
With mass 1 of 5,972,000,000,000,000,327,155,712 kg, mass 2 of 70 kg and distance between centres of 6,371,000 m, the gravitational force works out to 0.0000.
Example 2
With mass 1 of 11,999,999,999,999,999,798,673,408 kg, mass 2 of 70 kg and distance between centres of 6,371,000 m, the gravitational force works out to 0.0000.
| Result | Value |
|---|---|
| Gravitational force | 0.0000 |
Example 3
With mass 1 of 2,999,999,999,999,999,949,668,352 kg, mass 2 of 70 kg and distance between centres of 6,371,000 m, the gravitational force works out to 0.0000.
| Result | Value |
|---|---|
| Gravitational force | 0.0000 |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the Gravitational Force Calculator does it instantly, for free, with the formula and a worked example built in.
Related calculators
Continue exploring science calculators with these tools: Impulse Calculator, Elastic Potential Energy Calculator, Thermal Expansion Calculator, Buoyancy Force Calculator, RPM to Linear Speed Calculator.