Gravitation mein Newton ka universal law, Kepler ke laws, satellites aur escape velocity aate hain — formula-heavy scoring chapter. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.
Important Formulas & Concepts — Gravitation
- F = Gm₁m₂/r²; G = 6.67 × 10⁻¹¹ N·m²/kg²
- g = GM/R²; height: gₕ = g(1 − 2h/R) (h << R)
- Depth: g_d = g(1 − d/R)
- Gravitational PE: U = −GMm/r
- Escape velocity: vₑ = √(2gR) = 11.2 km/s (Earth)
- Orbital velocity: v₀ = √(GM/r); vₑ = √2 · v₀
- Kepler 3rd law: T² ∝ r³
- Geostationary satellite: T = 24 h, h ≈ 36,000 km
Quick Revision Points
- g equator par kam, poles par zyada
- Satellite ke andar weightlessness — normal force zero
- Satellite ki total energy = −GMm/2r (negative = bound)
- Kepler 2nd law = angular momentum conservation
- Escape velocity object ke mass par depend nahi karti
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