1. Final Exam Review Phys 221 SUPPLEMENTAL INSTRUCTION Good Luck!

3. Exam Overview  12 - 13 questions: Old material up to and including Exam 2  12 - 13 questions: New material since Exam 2  4 lab questions  27 total, 2 are extra credit

4. Question Style  About 1/3 of the problems will stress conceptual understanding  Don’t waste too much time on these  Think carefully!  Remaining 2/3 will be numerical problems to test ability to apply these concepts  Know your formula sheet  Rule out wrong answers  27 Questions, 2 hours (4.4 minutes/problem)

5. A Few Ways to Prepare  Practice tests!  Do Canfield-Siklody tests first. (fall 2012, fall 2013)  If you don’t get something correct, make sure you can do it again later correctly  Old exams from this semester  The concepts you missed before will probably be making an appearance.  Quizzes (3 versions of each)  SI worksheets (if you need to target a specific concept)  Get to know your formula sheet beforehand

6. Can you answer questions about…

7. Pendulums Simple Harmonic Motion, damped and forced oscillation Sound Energy, Intensity, Resonance, Interference, Standing waves Temperature Thermometers, Thermal Expansion Heat and phase changes Ideal gases Kinetic model Thermodynamics First and second laws, Thermal processes, heat capacities Heat engines and refrigerators P-V diagrams, Carnot cycle, Entropy

8. Energy Work kinetic energy theorem, Potential energy Energy diagrams, Work, Power Collisions Momentum and its conservation Impulse, Average force, elastic/inelastic collisions Rotational Concepts Center of Mass, Moments of Inertia, Rotational Energy Torque, Statics, Angular momentum, massive pulleys Gravitation/Fluids Pressure, Buoyancy, Gravitational Potential Energy

9. Foundational Physics Units, Dimensional analysis, Vector Operations Relative motion and frames of reference Simple Motion One and two dimensional motion, constant acceleration Projectile motion, kinematic equations Newton’s Laws Force and resultant acceleration, action-reaction pairs Free-body diagrams Tension, Normal force, pulleys Complex Motion Circular motion, friction, work, kinetic energy Springs

10. If you missed something before: fix it!

11. Questions

13. Careful with signs!  Don’t blindly follow the signs on your formula sheet.  Some of the negative and positive signs may lead you astray…  What should I do then?  Draw a picture.  For heat engines/refrigerators, remember that all of the energy that goes in comes out as well.  Make sure that your equations represent the concepts you are aiming for.  Does your answer make sense? (Remember that temperature in Kelvin is always positive)

15. How do phase changes work again?

17. Unit, units, units  When using the ideal gas law with the R value on your formula sheet, certain units must be used.  I recommend getting into the habit of always working in these units for thermodynamics.  PV = nRT  P – Pressure in Pascals  V – Volume in m 3  n – Number of moles  T – Temperature in Kelvin  Be careful to match mole units and molecular units: n, N, m, M are somewhat confusing

19. Diagrams  Where is the critical point?  What about the triple point?  At 1000 bar, what are the melting and boiling points?  At 10 bar, what are the melting and boiling points?  For P-V diagram  How is temperature shown?

21. Wait! What temperature unit do I use?  Never leave temperatures in Fahrenheit  To be safe, always use Kelvin  If you wish to save time  Changes in temperature, Celsius is okay

22. SituationMust I convert to Kelvin, or can I use Celsius? Celsius OKAY. Kelvin OKAY. Celsius NOT OKAY. Kelvin OKAY.

25. Hodgepodge SOME REPRESENTATIVE REVIEW PROBLEMS