Gravitational Force Calculator
Calculate the Newtonian gravitational attraction between two masses.
Step-by-step working
- F = G m₁ m₂ / r², G = 6.6743e-11 N·m²/kg²
- = 6.6743e-11 × 5.9722e+24 × 70 / 6.3710e+6² = 687.4212 N
Mathematical Formula
Overview & Explanation
Every mass attracts every other mass with a force inversely proportional to distance squared.
How It Works
- Multiply masses and G.
- Divide by r².
Practical Applications
- Astronomy.
- Weight on other planets.
Example 1: 70 kg person on Earth’s surface
≈ 687 N.
Inputs
Mass 1 (kg): 5.9722e+24 · Mass 2 (kg): 70 · Distance between centres (m): 6371000
Step 1
F = G m₁ m₂ / r², G = 6.6743e-11 N·m²/kg²
Step 2
= 6.6743e-11 × 5.9722e+24 × 70 / 6.3710e+6² = 687.4212 N
Gravitational force
Result
Example 2: Earth–Moon
≈ 1.98 × 10²⁰ N.
Inputs
Mass 1 (kg): 5.9722e+24 · Mass 2 (kg): 7.342e+22 · Distance between centres (m): 384400000
Step 1
F = G m₁ m₂ / r², G = 6.6743e-11 N·m²/kg²
Step 2
= 6.6743e-11 × 5.9722e+24 × 7.3420e+22 / 3.8440e+8² = 1.9806e+20 N
Gravitational force
Result
How it's calculated & sources
F = G m₁ m₂ / r², G = 6.6743 × 10⁻¹¹ N·m²/kg².
Frequently Asked Questions
Why is gravity weak between people?
r measured from?
Relativity?
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