Gravitation
Madhya Pradesh Board · Class 11 · Physics
Quick revision notes for Gravitation — Madhya Pradesh Board Class 11 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Historical background and Kepler’s laws
- Galileo (1564-1642) recognised that all bodies fall towards the Earth with constant acceleration, regardless of mass.
- Ptolemy proposed a geocentric model in which all celestial objects revolved around the Earth.
- Aryabhatta mentioned the heliocentric model in the 5th century A.D., placing the Sun at the centre.
2. Universal law of gravitation
- Newton explained both falling bodies and planetary motion using one universal law.
- Every body in the universe attracts every other body with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
- The gravitational force is attractive and acts along the line joining the two masses.
3. Gravitational constant and weighing the Earth
- Henry Cavendish first experimentally determined G in 1798 using a torsion-balance apparatus.
- The bar AB with small lead spheres at the ends twists due to attraction by large lead spheres.
- At equilibrium, gravitational torque equals restoring torque.
4. Acceleration due to gravity on and below Earth
- Acceleration due to gravity is maximum at Earth’s surface.
- It decreases when moving upward and also when moving downward below the surface.
- At height h above Earth, gravity decreases with distance from the centre.
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