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Gravitational Force Calculator

Verified formula Updated Jun 2026 Private — runs on your device

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Verified formula Private

Gravitational force

687.3672

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Gravitational Force Calculator

The Gravitational Force Calculator works out your gravitational force in an instant. Enter mass 1, mass 2 and distance between centres and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the mass 1.
  2. Enter the mass 2.
  3. Enter the distance between centres.
  4. Read off your gravitational force — the calculator updates automatically, with no button to press.

Formula

The Gravitational Force Calculator uses the formula:

Gravitational force = 6.674e-11 × Mass 1 × Mass 2 ÷ (Distance between centres)^(2)

Worked example

For example, 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 is 687.3672.

Inputs used
Mass 1 5,972,000,000,000,000,327,155,712 kg
Mass 2 70 kg
Distance between centres 6,371,000 m
Results
Gravitational force 687.3672

Results are estimates for educational use, not professional advice.

Key terms explained

Force
A push or pull on an object, equal to mass × acceleration (Newton's second law).

Frequently asked questions

Every two masses attract with a force F = G·m₁·m₂ ÷ r², where G is the gravitational constant 6.674×10⁻¹¹.

Using Earth's mass and radius with a 70 kg person gives roughly that person's weight, since weight is gravity's pull.

It is the separation between the centres of the two masses, not their surfaces.

Yes. Use scientific notation like 5.972e24 for planetary masses; the calculator handles them.

The Gravitational Force Calculator uses the formula: Gravitational force = 6.674e-11 × Mass 1 × Mass 2 ÷ (Distance between centres)^(2). For example, 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 is 687.3672.

Enter the mass 1. Enter the mass 2. Enter the distance between centres. Read off your gravitational force — the calculator updates automatically, with no button to press.

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