Science calculator
Gravitational Force Calculator
Calculate gravitational force between two masses.
About the gravitational force calculator
The gravitational force calculator computes the force of gravity between two masses using Newton's law of universal gravitation.
How to use this calculator
- 1
Enter masses
Enter both masses in kg.
- 2
Enter distance
Enter the distance between centers in meters.
- 3
View results
See the gravitational force.
How the calculation works
F = G × m₁ × m₂ ÷ r² where G = 6.674 × 10⁻¹¹ N·m²/kg².
Example: Earth (5.97×10²⁴ kg) and 70kg person at 6.37×10⁶m: ≈ 687N.
Understanding scientific constants
Key constants used: g = 9.81 m/s² (Earth gravity), c = 299,792,458 m/s (speed of light), G = 6.674×10⁻¹¹ N·m²/kg² (gravitational constant), h = 6.626×10⁻³⁴ J·s (Planck's constant), R = 8.314 J/(mol·K) (ideal gas constant). Results assume ideal conditions — real-world measurements may vary.
Ideal vs. real-world conditions
Most physics calculators assume ideal conditions: no air resistance, perfect vacuums, uniform gravity. Real-world results will differ due to friction, air resistance, temperature variations, and measurement uncertainty. Use these tools for learning and estimation, not precision engineering.
Important limitations
This tool provides a mathematical estimate based only on the values entered. It does not account for regulations, taxes, lender fees, market conditions, or individual circumstances. Results are for planning purposes only — consult a qualified professional for regulated, medical, financial, or construction decisions.
Frequently asked questions about gravitational force calculator
How accurate is the gravitational force calculator?+
The calculation follows the displayed formula and retains full numeric precision before formatting the result.
Can I use the result professionally?+
Use it as a planning estimate. Confirm regulated, medical, financial, or construction decisions with a qualified professional.