Physics

Gravitational Force Calculator

Calculate the gravitational attraction between two masses using Newton's law of universal gravitation.

kg
kg
m
Gravitational force
—
F = G · m₁ · m₂ / r², with G = 6.674 × 10⁻¹¹ N·m²/kg²First masskgSecond masskgDistance between centresm

The default values are Earth

The preset masses are Earth (5.972 × 10²⁴ kg) and a 70 kg person at Earth's mean radius. The answer comes out at about 687 N, which is that person's weight — and dividing by 70 gives 9.81 m/s². That is not a coincidence: it is where the familiar figure for g comes from.

The formula

F = G · m₁ · m₂ / r², with G = 6.674 × 10⁻¹¹ N·m²/kg²

Every result on this page comes from this formula. Nothing is rounded until the final display, so figures match a spreadsheet to the cent.

How to use the Gravitational Force Calculator

  1. Fill in each field with your own figures — the defaults are only there as an example.
  2. The result updates as you type, so there is no button to press.
  3. Check the breakdown under the main result for the supporting numbers.
  4. Use the copy button to take the result with you, or share the link to reload the same inputs.

Gravitational Force Calculator — frequently asked questions

Is this gravitational force calculator free to use?

Yes. Every calculator on the site is free, needs no sign-up, and runs entirely in your browser, so your figures never leave your device.

How accurate is the result?

The maths is exact for the formula shown on the page. Accuracy in the real world depends on your inputs and on assumptions the formula cannot see, so treat the output as a well-grounded estimate rather than a quote.

Can I use it on my phone?

Yes. The page is responsive, weighs a few kilobytes and works offline once loaded, so it behaves the same on a phone as on a desktop.

What people search for

This page answers each of these searches. They are the exact phrases visitors use to find the gravitational force calculator.

  • gravitational force calculator
  • gm1m2/r2
  • universal gravitation
  • gravity between two masses
  • newtons law of gravitation
  • gravitational force

About this calculator

Written and reviewed by The Samsung Calculator editorial team. Every calculator is written against a published formula, reviewed against at least one independent reference implementation, and dated when it changes.

Last reviewed August 23, 2026 · Calculation runs client-side · No data collected · Report an error