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Mihsaba›Gravitational Force Calculator

Gravitational Force Calculator

Calculate gravitational attraction between two masses using Newton’s law of universal gravitation, plus each mass’s acceleration toward the other.

These are ideal classical-physics models. Force directions, friction regime, elastic limits and time-varying forces can require a fuller model.

How to use

Newton’s universal-gravitation law gives the attraction between point masses, or bodies approximated by masses at their centers, using center-to-center separation.

  1. Enter m₁ and m₂ in kilograms.
  2. Enter center separation r in metres.
  3. Calculate force and acceleration of each mass.

How it is calculated

F=Gm₁m₂/r²; a₁=F/m₁; a₂=F/m₂

Example

Example: 1000 kg and 2000 kg masses separated by 10 m attract with only about 1.33×10⁻⁶ N.

Important notes

The calculator uses G=6.67430×10⁻¹¹ SI. Extended non-spherical bodies or separations small relative to body size may require a distributed-mass model.

Frequently asked questions

Is r surface-to-surface?

No, it is center-to-center separation in this model.

Why is force tiny for everyday objects?

Because G is very small in SI units.

Do both masses have the same acceleration?

Force magnitude is equal, but a=F/m so acceleration depends on mass.