Gravitational Force Calculator
Newton's Law of Universal Gravitation
Calculate the gravitational force between two masses using Newton's law: F = G(m₁m₂)/r².
Mass and Distance Parameters
kg
Use scientific notation for large values (e.g., 5.972e24)
kg
Use scientific notation for large values (e.g., 7.342e22)
m
Distance between centers of mass
Newton's Law of Gravitation
F = G × (m₁ × m₂) / r²
where: G = 6.674×10⁻¹¹ N⋅m²/kg²
Note
Gravitational force is always attractive and acts along the line joining the centers of the two masses.
Example Values
Earth-Moon
F ≈ 1.98 × 10²⁰ N
Earth-Sun
F ≈ 3.54 × 10²² N
Earth-Person (70kg)
F ≈ 686 N
About Gravitational Force
Newton's law of universal gravitation states that every particle attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
- Always attractive
- Acts along the line joining centers
- Inversely proportional to r²
Applications
- Orbital mechanics
- Satellite motion
- Planetary motion
- Tidal forces
- Weight calculations
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