Mechanics

Universal Gravitation

F=Gm1m2r2F = G\frac{m_1 m_2}{r^2}

Newton's law of universal gravitation.

Variables

F
Gravitational force
Attractive force
N
G
Gravitational constant
6.674×10⁻¹¹
N·m²/kg²
m₁
Mass 1
First mass
kg
m₂
Mass 2
Second mass
kg
r
Distance
Between centers
m

Derivation

Fundamental empirical law.

Your notes

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Common questions

What is the Universal Gravitation formula?

Universal Gravitation is written F = Gm₁ m₂/r². Newton's law of universal gravitation. It belongs to Mechanics, under Gravitation.

What are the units in F = Gm₁ m₂/r²?

In SI units, F is gravitational force, measured in kg·m/s²; G is gravitational constant, measured in m³/(kg·s²); m₁ is mass 1, measured in kg; m₂ is mass 2, measured in kg; r is distance, measured in m.

How is the Universal Gravitation formula derived?

Fundamental empirical law. The result is F = Gm₁ m₂/r².