Gravitation – Complete Intermediate Notes

Stage 1 • Page 1 • Conceptual Foundation


1. Introduction to Gravitation

Gravitation is the universal force of attraction between any two masses in the universe. It explains:

  • Why objects fall towards Earth
  • Why planets revolve around the Sun
  • Why satellites stay in orbit
  • Why tides occur in oceans

Exam Insight:
IIT/JEE questions often test gravitation by mixing it with circular motion, energy, and rotational ideas.


2. Newton’s Universal Law of Gravitation

According to Newton:

Every two masses attract each other with a force
directly proportional to the product of their masses
and inversely proportional to the square of the distance between them.

F = G × (m₁ m₂) / r²

  • F → Gravitational force
  • G → Universal gravitational constant
  • m₁, m₂ → Masses
  • r → Distance between centres

Important:
Gravitation is always attractive and acts along the line joining the centres.


3. Universal Gravitational Constant (G)

The value of G is:

G = 6.67 × 10⁻¹¹ N m² kg⁻²

  • Same everywhere in the universe
  • Very small value → gravitational force is weak
  • Independent of medium, temperature, shape

Board Tip:
Always write unit of G correctly — marks are deducted for unit errors.


4. Vector Nature of Gravitational Force

Gravitational force is a vector quantity:

  • Has both magnitude and direction
  • Direction is along the line joining two masses
  • Force on each mass is equal and opposite

IIT Angle:
Questions may involve resolving gravitational forces in two or three dimensions.


5. Gravitational Force vs Other Forces

Force Nature Strength
Gravitational Always attractive Weakest
Electrostatic Attractive/Repulsive Very strong

6. Common Mistakes to Avoid

  • Taking distance between surfaces instead of centres
  • Forgetting square on distance
  • Using weight instead of mass
  • Wrong unit conversion

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