Free Gravitational Force Calculator
Calculate the gravitational attraction between two masses using Newton's law of universal gravitation F = G * m1 * m2 / r².
kg
kg
m
Gravitational Force
687.3981 N
Gravitational Force vs Mass 1
Newton's Law of Universal Gravitation
Every mass attracts every other mass with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
Formula
F = G * m1 * m2 / r²
where G = 6.6743 x 10^-11 N·m²/kg² is the gravitational constant.
Example Calculation
Weight of a 70 kg person on Earth's surface (Earth mass = 5.972e24 kg, radius = 6,371,000 m).
- 01F = G * m1 * m2 / r²
- 02F = 6.6743e-11 * 5.972e24 * 70 / (6.371e6)²
- 03F = 6.6743e-11 * 4.1804e26 / 4.059e13
- 04F ≈ 687 N (close to 70 * 9.81 = 686.7 N)
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