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  1. Exams
  2. IIT JEE
  3. Physics
  4. Gravitation
36 marks

Gravitation

This chapter covers the universal law of gravitation, acceleration due to gravity, gravitational potential energy, and motion of satellites.

7 Topics
25h prep
2% subject weight
7 Topics
1

The universal law of gravitation

2m2/10
πŸ“Œ Key FormulaF = G m₁mβ‚‚/rΒ²
2

Acceleration due to gravity and its variation with altitude and depth

2m3/10
πŸ“Œ Key Formulag' = g(1 - 2h/R) for h << R, g' = g(1 - d/R) for depth d
3

Kepler’s law of planetary motion

2m2/10
πŸ“Œ Key FormulaLaw of orbits (ellipses), law of areas (equal area in equal time), law of periods (TΒ² ∝ rΒ³)
4

Gravitational potential energy

2m2/10
πŸ“Œ Key FormulaU = -GMm/r
5

Escape velocity

2m2/10
πŸ“Œ Key Formulav_esc = √(2GM/R) = √(2gR)
6

Orbital velocity of a satellite

2m2/10
πŸ“Œ Key Formulavβ‚€ = √(GM/r)
7

Geo stationary satellites

2m2/10
πŸ“Œ Key FormulaOrbital period = 24 hours, in equatorial plane, altitude ~ 36000 km.