Newton's Law of Universal Gravitation
Also known as: Gravity Formula, Gravitational Force
F = G \frac{m_1 m_2}{r^2}
F = G × m₁ × m₂ / r²What It Calculates
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.
variables
| Symbol | Name | Description |
|---|---|---|
| F | Gravitational Force | Attractive force between two masses |
| G | Gravitational Constant | 6.674 × 10⁻¹¹ N·m²/kg² |
| m_1, m_2 | Masses | The two masses attracting each other |
| r | Distance | Distance between the centers of the masses |
Worked Examples
1
F = 6.674e-11 × 5.97e24 × 1 / (6.371e6)²2
F ≈ 9.81 NResult: ~9.81 N (= g)
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