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Calculation Machine

Gravitational Force Calculator

Newton's law of universal gravitation.

Reviewed by the Calculation Machine team · How we check our maths

Your values

ⓘ Live results

Results
Gravitational force
1.9821e+20 N
Acceleration of mass 2
2.6975e-3 m/s²
Distance
384400 km
Force in tonnes-force
2.021e+16

Quick answer

Gravitational force falls with the square of the distance between two masses.

The formula

F = G m1 m2 ÷ r²

Worked example

Worked example

Using the values the calculator loads with.

Inputs

  • Mass 15.972e24 kg
  • Mass 27.348e22 kg
  • Distance384400 km

Result

  • Gravitational force1.9821e+20 N
  • Acceleration of mass 22.6975e-3 m/s²
  • Distance384400 km
  • Force in tonnes-force2.021e+16

How to use the Gravitational Force Calculator

  1. 1Enter both masses in kilograms.
  2. 2Enter the separation between their centres.
  3. 3Read the resulting force.

Frequently asked questions

Why is gravity so weak?

G is tiny, so noticeable gravity needs planetary-scale mass.

Does distance or mass matter more?

Distance — the inverse square makes separation dominate.

About this calculator