Gravitation Mastery – Interactive Quiz & Cheatsheet

Boost your understanding of Gravitation with this engaging quiz and quick-reference guide tailored for exam success

Updated: just now

Categories: Mini Game, Physics, Class 11, Gravitation
Tags: Mini Game, Physics, Class 11, Gravitation, Universal Law of Gravitation, Kepler's Laws, Orbits
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Gravitation Cheatsheet & Quiz

Gravitation Cheatsheet

Key Concepts & Formulas

  • Newton's Law of Gravitation: \( F = G \frac{m_1 m_2}{r^2} \), where \( G \) is the gravitational constant.
  • Gravitational Constant: \( G = 6.674 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \)
  • Weight: \( W = mg \), where \( g \) is acceleration due to gravity.
  • Acceleration due to Gravity: \( g = \frac{GM}{R^2} \), where \( M \) is Earth's mass and \( R \) is Earth's radius.
  • Gravitational Potential Energy: \( U = -G \frac{mM}{r} \)
  • Escape Velocity: \( v_e = \sqrt{\frac{2GM}{R}} \)
  • Orbital Velocity: \( v = \sqrt{\frac{GM}{r}} \)
  • Kepler’s Third Law: \( T^2 \propto r^3 \) (period squared is proportional to radius cubed)

Quick Reference Table

Concept Formula Description
Newton's Law \( F = G \frac{m_1 m_2}{r^2} \) Force of gravity between two masses
Acceleration \( g = \frac{GM}{R^2} \) Gravitational acceleration at surface
Potential Energy \( U = -G \frac{mM}{r} \) Energy due to gravitational attraction
Escape Velocity \( v_e = \sqrt{\frac{2GM}{R}} \) Minimum velocity to escape gravity
Orbital Velocity \( v = \sqrt{\frac{GM}{r}} \) Velocity to maintain circular orbit
Kepler’s 3rd Law \( T^2 \propto r^3 \) Relation between orbit period & radius

Advice

Understand the inverse square law: Gravity decreases with the square of the distance.

Use consistent units: Always convert masses to kilograms, distances to meters, and forces to newtons.

Remember energy signs: Gravitational potential energy is negative, indicating a bound system.

Escape velocity depends on radius: Smaller radius means higher escape velocity.

Kepler’s law is empirical: Use it for orbit time-radius relations but not for forces.

Gravitation Quick Tips

  • Universal Law: Contacts between all masses produce gravitational force.
  • Vector Nature: Gravity acts along the line joining two masses.
  • Shell Theorem: Spherical shells of mass behave as if all mass is concentrated at the center.
  • Orbital Motion: Velocity depends on radius of orbit and central mass.
  • Energy Conservation: Total mechanical energy in orbit = kinetic + potential.

Gravitation Speed Quiz

Test your speed with 5 gravitation questions! You have 30 seconds per question.