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Gravitational Force Calculator

Science & Engineering

F=GmM/r² + surface gravity

Quick Answer

Gravitational Force Calculator: F=GmM/r² + surface gravity. Gravitational Force Calculator uses standard science & engineering formulas to compute accurate results instantly.

kg
kg
m
Gravitational force
2.403×10^-7 N

Calculation steps

  1. 1F = G·m₁·m₂/r², G = 6.674×10⁻¹¹ N·m²/kg²
  2. 2F = 6.674e-11 × 60 × 60 ÷ 1² = 2.403×10^-7 N
  3. 3Equivalent weight ≈ 2.452×10^-8 kgf — imperceptible

Surface gravity of bodies

Bodyg (m/s²)vs Earth
Earth9.821.00×
Moon1.620.17×
Mars3.730.38×
Jupiter25.922.64×
Sun274.0327.91×
Gravity follows the inverse-square law: doubling distance quarters the force. At the ISS altitude (400 km) gravity is still ~89% of surface — astronauts float because they are in continuous free fall, not because there is "no gravity". Two 60-kg people 1 m apart attract each other with only ~2.4×10⁻⁷ N; it took Cavendish's torsion balance (1798) to measure G.

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How to Use

  1. Enter known quantities: fill values and confirm units in the Gravitational Force Calculator.
  2. Instant solution: unknowns solve live with the formula shown transparently.
  3. Use constant/material tables: standard physical constants and material data are listed on this page.
  4. Compare conditions: change inputs to compare scenarios.

Key Points

  • Gravitational Force Calculator is a free online science & engineering tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: F=GmM/r² + surface gravity.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Gravitational Force Calculator formula

Gravitational Force Calculator uses standard science & engineering formulas to compute accurate results instantly.

FAQ

How do I use the Gravitational Force Calculator?
Open the page and fill in the input fields — results update automatically. F=GmM/r² + surface gravity.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on CODATA recommended constants and standard physics formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Gravitational Force Calculator[EB/OL]. https://www.yijiansuan.com/en/c/science/gravitational

Results provided by this tool are for reference only and do not constitute professional advice.