F = Gm₁m₂/r² — Newton's Universal Law of Gravitation. G = 6.674×10⁻¹¹ N·m²/kg².
What this calculator does
Earth–Moon gravitational force: ~1.98 × 10²⁰ N — keeps the Moon in orbit.
How it works
Doubling the distance between objects reduces gravity to 1/4 (inverse square law).
When to use this calculator
Reach for this calculator when precision matters more than rough approximation — whether that is for a financial decision, a planning task, or simply getting the right answer the first time.
Common mistakes
A common mistake is misidentifying which formula applies to the specific version of the problem. Many everyday calculations have superficially similar variants that use different formulas — always check which scenario matches your situation.
Real-world scenarios
A freelancer calculates the exact number of working days between a project start and deadline, accounting for weekends and public holidays. The result tells them whether the timeline is achievable before accepting the brief — not after.
Frequently asked questions
What is Newton's law of gravitation?
F = Gm₁m₂/r². Gravitational force is proportional to the product of masses and inversely proportional to distance squared.