Gravitational Force Calculator

Your details

Choose which quantity to calculate. Leave the other three filled in.
Presets fill Mass 1 and Distance with standard values for that body. You can still override them.
Mass of the first object. Defaults to Earth's mass (the preset fills this).
Mass of the second object.
Centre-to-centre separation. Defaults to Earth's radius.
Choose the unit for the force output.
Gravitational forceEveryday scale, comparable to ordinary weights
687.4 N

Mutual attraction between the two masses.

Grav. field strength at m₂9.82 m/s²
Grav. field strength at m₁1.151 × 10−²² m/s²
Weight equivalent70.09 kg (154.5 lb)
Force (numeric, N)687.367242N
Field strength (numeric)9.819532m/s²
Grav. field strength (m/s²)9.819532
Force (N)687.367242

Gravitational attraction: 687.4 N.

  • Force follows the inverse-square law: F = G·m₁·m₂ ÷ r², so doubling the distance cuts the force to a quarter.
  • Gravity is mutual: both masses feel the same force, but their accelerations differ because acceleration = force / mass.
  • The constant G = 6.674 × 10⁻¹¹ is extremely small, which is why everyday objects exert imperceptible pulls on each other.
  • The gravitational field strength experienced by Mass 2 is 9.82 m/s², which is the acceleration it would gain in free fall toward Mass 1.

Next stepDivide this force by one mass to get the gravitational field strength (acceleration) that mass experiences, or switch the Solve for dropdown to find an unknown mass or distance.

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