Gravitation
Maharashtra Board · Class 11 · Physics
Quick revision notes for Gravitation — Maharashtra Board Class 11 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Kepler's Laws of Planetary Motion
- Law of Orbits: All planets move in elliptical orbits with the Sun at one focus
- Law of Areas: The line joining planet and Sun sweeps equal areas in equal time intervals
- Law of Periods: Square of time period is proportional to cube of semi-major axis (T² ∝ r³)
Newton's Universal Law of Gravitation
- Every particle attracts every other particle with force proportional to product of masses and inversely proportional to square of distance
- Gravitational force is always attractive and acts along line joining centers
- Force follows Newton's third law - equal and opposite force pairs
Acceleration Due to Gravity and Its Variations
- Acceleration due to gravity g = GM/R² at Earth's surface
- Value of g decreases with altitude: gₕ = g(1 - 2h/R) for h << R
- Value of g decreases with depth: gₐ = g(1 - d/R)
Gravitational Potential Energy and Escape Velocity
- Gravitational potential energy U = -GMm/r (taking U = 0 at r = ∞)
- Near Earth's surface: ΔU = mgh for small heights h << R
- Gravitational potential V = -GM/r (potential energy per unit mass)
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