Gravitational Force Calculator

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.