1. Chapter 13 Outline Gravitation Newton’s law of gravitation Weight Gravitational potential energy Circular orbits Kepler’s laws Black holes

2. Gravitation

3. Gravitational Force Acts on both bodies with equal magnitude. When you jump off a diving board, Earth also accelerates towards you, but your mass is 23 orders of magnitude smaller, so this is negligible. Spherically symmetric masses look like points from the outside. Replace sphere with a single point mass at the center.

5. Weight

6. Mass of the Earth

7. Density of the Earth

8. Exam #3 Results Average 10.4 Standard deviation 3.1

9. Gravitational Potential Energy

11. Gravitational Potential Energy on Earth

12. Escape Velocity

13. Motion of Satellites

14. Circular Orbits

15. Circular Orbital Speed

18. Total Energy in Circular Orbit

19. Kepler’s Laws

20. Kepler’s First Law

21. Kepler’s Second Law

23. Kepler’s Third Law

25. Escape Velocity Revisited

26. Black Holes

27. Schwartzschild Radius

28. What if the Sun collapsed into a black hole?