This comprehensive physics course explores the fundamental principles of gravitation, the universal force responsible for everything from falling apples on Earth to the orbital motion of planets, satellites, and galaxies. Designed for students preparing for AP Physics, Class 11 Physics, and IIT JEE, the course begins with an in-depth study of Newton’s Law of Universal Gravitation, covering how gravitational force depends on mass, distance, and direction.
Key topics covered in this gravitation course include:
- Understanding weight and gravitational acceleration: Learn how weight is the net gravitational force exerted by Earth and other bodies. Discover how gravitational acceleration changes with altitude and how Earth’s shape and rotation affect measured weight. Study gravitational force inside a spherical mass, including key results like zero force inside a uniform shell and a linearly increasing force inside a solid sphere.
- Gravitational potential energy: Define gravitational potential energy for a two-body system with zero energy at infinite separation. Learn how gravitational force is conservative, and use the conservation of mechanical energy to analyze the motion of particles under gravity.
- Escape velocity: Calculate escape speed, the minimum speed required to break free from a planet’s gravitational pull and reach infinity with zero kinetic energy. Apply this to space missions, planetary probes, and rocket launches.
- Kepler’s Laws of Planetary Motion: Explore all three of Kepler’s Laws — the law of orbits, the law of areas, and the law of periods — to understand elliptical orbits, angular momentum conservation, and the relation between orbital time and semimajor axis. Apply these to both natural celestial bodies and artificial satellites.
- Satellite orbits and energy: Study circular and elliptical satellite orbits, analyzing their kinetic energy, potential energy, and total mechanical energy. Understand why apparent weightlessness occurs in orbit and connect it to uniform circular motion and the centripetal force requirement provided by gravity.
- Einstein’s theory of gravitation: Get a conceptual introduction to Einstein’s General Theory of Relativity, including the principle of equivalence and the idea of gravity arising from the curvature of spacetime around massive objects.
- Black holes and the Schwarzschild radius: Learn how black holes can be understood in terms of extreme escape velocities and their defining Schwarzschild radius. Discover how we detect black holes through their gravitational influence on nearby matter.
Throughout this course, students will engage in conceptual analysis, derivations, and numerical problem-solving, gaining a deep and intuitive understanding of gravitational physics—a force that not only shapes our everyday experience but also governs the structure and evolution of the universe.
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