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.

- Chapter 1. Calculus Review: Small Changes for Motion in 2D.
- Chapter 2. Work Done in 2D; Dot Products and Cross Products.
- Chapter 3. Conservative and Non-conservative Forces.
- Chapter 4. Cross Derivative Test for Potential Energy Equations.
- Chapter 5. Application to Gravitational Potential Energy.