Law of Conservation of Energy in Higher Dimensions - Fundamentals of Physics

Explore the Law of Conservation of Energy in higher dimensions in this 71-minute lecture from Yale University's Fundamentals of Physics course. Begin with a calculus review of small changes for motion in 2D, then delve into work done in 2D, including dot products and cross products. Examine conservative and non-conservative forces, and learn how to recognize and manufacture them. Study the cross derivative test for potential energy equations, and conclude with an application to gravitational potential energy. Gain a deeper understanding of energy conservation principles and their applications in multidimensional physics problems.