Physics 1A, Section 6

1. Physics 1A, Section 6 December 4, 2008

2. Section Business • Final is 4 hour long. • History suggests you should expect an orbit problem. • History suggests you should expect a fluid problem (continuity eq., Bernoulli’s eq., Archimedes’ princ.). • Otherwise, covers the full course, back to week 1. • I’m observing in Hawai’i Dec. 5 – 17. • only available by email: cdd@submm.caltech.edu

3. OM, Problem 4-55

4. OM, Problem 4-55 • Answer: maximum height = R + R/2[Rg/u2 + u2/Rg] (for u2 ≥ Rg) specific case: u = 30 km/h, R = 0.80 m, g = 9.80 m/s2 4.39 m

5. Quiz Problem 5

6. Quiz Problem 5 • Answer: a) gravity, normal force, friction b) a = g[sin - cos] c) gravity, tension, fictitious force up the ramp d) tan = 

7. Quiz Problem 31

8. Quiz Problem 31 • Answer: a) v´ = v M1/(M1+M2) b) v ≥ √(5Rg) (M1+M2)/M2

9. The Physics of Billiards F • Question: At what height should a billiard ball be struck so that it rolls without slipping? (Assume negligible coefficient of friction from the table.) h

10. The Physics of Billiards • Answers: h = 7/5 R, R = radius

12. conservation of angular momentum inelastic collision conservation of energy after collision physical pendulum initial conditions

14. Archimedes’ Principle

15. OM Problem 18-82

16. OM Problem 18-82 • Answer: zmax = h/2 xmax = h

17. OM Problem 9-69

18. Section Business • Final is 4 hour long. • History suggests you should expect an orbit problem. • History suggests you should expect a fluid problem (continuity eq., Bernoulli’s eq., Archimedes’ princ.). • Otherwise, covers the full course, back to week 1. • I’m observing in Hawai’i Dec. 5 – 17. • only available by email: cdd@submm.caltech.edu

20. OM, Problem 3-62

21. Quiz Problem 33

22. Quiz Problem 33 • Answer: • a)  = v/R • b) sin  = kv/(mgR2) • c) mgv = k2

24. conservation of angular momentum relative velocities

25. Bernoulli’s Equation continuity equation