Learning Objectives
- Understand Kepler's Laws of Planetary Motion, including the elliptical orbits of planets, the equal area law, and the relationship between orbital period and semi-major axis.
- Calculate gravitational forces using Newton's Universal Law of Gravitation, which states that every particle attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
- Analyze the concept of Gravitational Potential Energy, defined as the work done in bringing a particle from infinity to a point in space.
- Determine the Escape Speed required for an object to break free from the gravitational attraction of a celestial body without further propulsion.
- Evaluate the variation of Acceleration Due to Gravity with altitude and depth, and understand its implications for objects near the Earth's surface.
- Compute the Energy of an Orbiting Satellite, which includes both kinetic and potential energy, and understand its implications for satellite motion.
- Explore the methods for Gravitational Constant Measurement, such as Cavendish's experiment, to determine the value of the gravitational constant .
- Examine the Gravitational Force in Spherical Shells, including the zero force inside a shell and the force acting as if mass is concentrated at the center for external points.
- Apply the Superposition of Gravitational Forces to calculate the resultant gravitational force due to multiple masses using vector addition and symmetry-based cancellation.
- Understand the concept of Gravitational Potential as potential energy per unit mass, its relation to gravitational potential energy, and the superposition of potentials.
- Analyze the motion of Earth Satellites and Orbital Motion, including circular satellite orbits, orbital speed, time period, and the application of Kepler’s law to satellites.
- Explain the phenomenon of Weightlessness and Free Fall in Satellites, where astronauts experience weightlessness because both the satellite and the astronaut are in free fall.