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Gravitation formulas
11 formulas for Gravitation, from the Physics — Formulas section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Newton's law of gravitation | F = Gm₁m₂/r² 🧮 Solve step by step | N |
| g at surface | g = GM/R² 🧮 Solve step by step | m/s² |
| g at height h | g_h = g(1 + h/R)⁻² ≈ g(1 − 2h/R) | |
| g at depth d | g_d = g(1 − d/R) 🧮 Solve step by step | |
| Gravitational potential | V = −GM/r 🧮 Solve step by step | J/kg |
| Gravitational PE | U = −GMm/r 🧮 Solve step by step | J |
| Escape velocity | vₑ = √(2GM/R) = √(2gR) ≈ 11.2 km/s | Earth |
| Orbital velocity | v₀ = √(GM/r) ≈ 7.9 km/s | near Earth |
| Orbital period | T = 2π√(r³/GM) 🧮 Solve step by step | |
| Kepler's third law | T² ∝ r³ | |
| Satellite total energy | E = −GMm/2r 🧮 Solve step by step |
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