Newton's Law of GravitationMathematics

Newton's Universal Gravitation Force Physics Calculator (F = G*m1*m2 / r²)

Calculate the mutual gravitational attraction force in Newtons (N) and surface gravitational acceleration between any two celestial masses or objects.

Calculator Inputs

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Calculated ResultNewton's Law of Gravitation

Gravitational Attraction Force (Nano-Newtons nN)

3,337.15nN

Induced Gravitational Acceleration (nm/s²)

0.67 nm/s²

Distance Squared (r²)

100 m²

Universal Gravitation: Gravitational attraction operates between all matter, manifesting noticeably at planetary scales.

Gravitational Attraction Breakdown

Mass 1
1,000 kg(17%)
Mass 2
5,000 kg(83%)

Detailed Calculation Breakdown

Mass 1
1,000 kg
Mass 2
5,000 kg
Force (nN)
3,337.15 nN

Calculation Methodology

Formula: F = G * (m1 * m2) / r^2, where G = 6.67430 x 10^-11 N·m²/kg², m1 & m2 are masses in kg, and r is the center-to-center distance in meters.

Important Legal & Educational Disclaimer

This astrophysics tool calculates Newtonian gravitational interaction forces.

This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.

Frequently Asked Questions

G ≈ 6.67430 × 10⁻¹¹ N·m²/kg², a fundamental physical constant measured by Henry Cavendish.
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