2. Chapter 8 Conservation of Energy

3. Introduction: Our approach Conservative and non-conservative forces Potential Energy Mechanical Energy and its conservation Problem solving using the Conservation of Mechanical Energy Gravitational Energy and escape velocity Power Potential Energy diagrams

4. Conservative and Nonconservative Forces Definition(s) of nonconservative forces Examples Usefulness

5. Potential Energy Defining an energy of location in addition to an energy of motion – Conservative forces make this possible – Examples Relating force and potential energy – in one and more dimensions

6. Mechanical Energy and its Conservation Derivation EXERCISE Statement(s) of Conservation of Mechanical Energy A different “algebraic” approach – the calculus hidden in the forces being conservative Conservation Laws and Symmetry – Emmy Noether’s discovery – a different mental model of energy

7. Problem Solving Using the Conservation of Mechanical Energy “Using” as a higher level of “understanding” Signs that this representation is useful Example problems (Jeopardy Exercises) Signs that this representation will not be useful

8. Energy Conservation with Dissipative Forces What if there are non-conservative forces? – derivation EXERCISE Intuition from a general conservation of energy relation Note on friction and work by friction

9. Gravitational Potential Energy and Escape Velocity What is the gravitational potential energy if Newton’s Law of gravity is needed rather than weight = mg? What is meant by “escape velocity”? Examples EXERCISE

10. Power What is power? How is power commonly expressed (algebraically)? Power in terms of force on object and velocity of object Efficiency (with a caution)

11. Potential Energy Diagrams What are all the elements of a potential energy diagram? EXERCISE What can be learned from a potential energy diagram? EXERCISE What is stable and unstable equilibrium in terms of a potential energy diagram? EXERCISE Examples EXERCISE

12. the end