1. Force and Potential Energy (3D)

2. Energy Diagram We can glean a lot of information by looking at graph of the potential energy.

3. Energy Diagram Example

4. Chapter 7 Summary Potential Energy and Energy Conservation

5. Chapter 8 Outline Momentum, Impulse, and Collisions Momentum Impulse Conservation of momentum Vector components Collisions Elastic and inelastic Center of mass Rocket propulsion

6. Momentum Consider the case of a collision between two cars. Using Newton’s laws to find the resulting motion is difficult. We do not fully know the exact forces involved. We can deal with situations such as these by considering a new concept, momentum.

7. Momentum

8. Impulse-Momentum Theorem

9. Impulse

10. Impulse Example

11. Conservation of Momentum

13. Conservation of Momentum Example

14. Types of Collisions We define a collision to be any strong interaction between bodies that lasts for a relatively short time. In an elastic collision, all of the forces between the colliding bodies are conservative, no mechanical energy is lost and the total kinetic energy is the same before and after. In an inelastic collision, the internal forces are not all conservative, the total kinetic after the collision is less than before. If the bodies stick together after the collision, it is a completely, or perfectly inelastic collision. Regardless, momentum is conserved!

15. Collision Example

16. Elastic Collisions in One Dimension

17. Collision Example #2