Potential Energy: Brachistochrone Curve and Power in Physics

This lecture covers the concept of potential energy, focusing on the brachistochrone curve problem in a vertical plane. It discusses the minimal time path for a mass sliding without friction in a uniform gravitational field. The lecture also explains the conservation of mechanical energy during the mass's fall and introduces the concept of power in physics, defining it as the rate of energy transfer. It concludes by discussing the transformation of energy forms and defining efficiency in energy conversion processes.