1. Kepler’s Laws

2. Kepler’s First Law

3. Kepler’s Second Law

5. Kepler’s Third Law

7. Escape Velocity Revisited

8. Black Holes

9. Schwarzschild Radius

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

12. Black Hole Detection Since no light can escape the event horizon, how can we even see the black hole? When matter falls towards the black hole it is compressed and heated, emitting radiation. This accretion disc is therefore visible evidence.

13. Chapter 13 Summary Gravitation

15. Chapter 14 Outline Periodic Motion Oscillations Amplitude, period, frequency Simple harmonic motion Displacement, velocity, and acceleration Energy in simple harmonic motion Pendulums Simple Physical Resonance

16. Periodic Motion Many types of motion repeat again and again. Plucked string on a guitar, a child in a swing, sound waves in a flute… This is called periodic motion, or oscillation. Stable equilibrium point Displacement from equilibrium leads to a force (or torque) to return it to equilibrium. Kinetic energy leads to overshoot, causing repeat

17. Periodic Motion Notation

18. Simple Harmonic Motion

19. Mass on a Spring

21. Simple Harmonic Motion of a Mass on a Spring

22. Displacement, Velocity and Acceleration

23. SHM Example