Energy: Gravitational Potential and Conservation Laws

This lecture covers the concept of gravitational potential energy, including examples such as gravitational force, spring force, and Coulomb force. It explains how the potential energy decreases along the field lines. The instructor discusses the concept of mechanical energy, emphasizing the conservation of energy in closed systems. The lecture also delves into the work done by conservative forces and the relationship between kinetic and potential energy. The conservation of mechanical energy is highlighted, showing that in closed systems, the total mechanical energy remains constant. Various examples and equations are provided to illustrate these principles.