Contemporary Physics I – Final Ex am Prep SheetFinal Exam Prep SheetGeneral GuidelinesYour final exam will be held on Tuesday, Dec. 11, 2007 from 1:00pm-3:00pm in Curtis 452 (If you’renot sure where that is, be sure to look at a campus map). I will hand out the exam at precisely1pm, so if you are late, you will have less time to work.The exam will be closed book. However, you will be given a fresh copy of the accompanyingequation sheet.You are required to bring a calculator.The exam will be similar in structure to, but slightly longer than the midterm exam. There maybe a few short answer problems, and 3-4 longish pr ob lems.The exam will be comprehensive. Material on the midterm is still fair play. It will includeeverything up to and including the material on collisions. General Relativity will not be on theexam, but s pecial relativity almost certainly will.As a reminder, we covered chapters 1-9 in your book (and, for those of you who want to do someextra reading, chapters 2-5, 7, 9-11, 14, 19, 39, 40 in Halliday, Resnick, and Walker).Note, also, that I spent considerable time on certain topics in class which are glossed over in yourtextbook. If I talked about it at length and gave you a homework problem or recitation assignmentwhich discusses it, I clearly think it’s important and you should know it.We have discussed the following topics in great depth:1. Fundamental Composition of Matter – Leptons, Baryons, qu arks , mediator particles. Funda-mental properties, composition, charge, and scales.2. The Concept of Cons ervation Laws, why they’re important, and which one’s we’ve seen sofar.3. Newton’s Laws of Motion – including the definition of momentum in relativistic form.4. The 4 Fundamental Forces. Kn ow them in ranked ord er, and be able to qualitatively describewhich particles/scales they act on. You should also know Gravity and E&M in a little moredetail.5. Gravity – Including the superposition principle, gravity near the surface of the earth, andthe solution of a body in a circular orb it. You should definitely be able to solve for projectilemotion.6. Net forces – In simple systems, you should be able to vectorially add forces and compu te thenet forces (and accelerations) of particles.7. Springs – Conceptually you sh ould understand their relation to molecules and solids, butyou should also know Hooke’s law, and understand the oscillating properties of springs (andoscillations of pendu lums, for that matter). You should also understand the relation betweenpotential and kinetic energy in springs.8. Young’s Modulus & Pressure – You should understand the relation between the spring mo delof solids and compression in macroscopic solids. You should also understand the concept ofpressure and be able to use it to relate force and surface area.9. Work – What happens when you push a particle over some d istance? How much work willyou do? What work do es the p article do on you? What happens if the force and displacementdon’t line up with one another?10. Kinetic, Potential, and Relativistic Energy – Know what forms energy can take. Understandhow energy can be converted from one form to another. What is the potential energy ofdifferent systems? What are the relativistic limits of a f ast moving particle?11. Relativity – You should know how to transform between the perspectives of different mov-ing observers. You should understand length contraction and time dilation. You s houldunderstand relativistic energy and momentum.12. Thermal Energy – You should be able to compute changes in the thermal energy of materialswith different specific heats. You should understand how friction and heat are related. Youshould understand how to compute friction from a free body diagram.13. Quantized Energy – Know how to compute the photon energies for particular transitions ofa system. Understand the particular case of the Hydrogen atom. Know which wavelengthsof light correspond to which p arts of the spectrum (optical, UV, etc.).14. Quantum Mechanics – Know how to compute the wavelength of a particle. Be able to describethe effects of quantum weirdness we discussed in class.15. Center of Mass – Understand how to compute center of mass, center of mass velocity, totalmomentum, and be able to distinguish translation from rotational or thermal motion. Beable to compu te the moment of inertia of simple systems.16. Collisions – Know the difference between and elastic and inelastic collision, and be able tocompute the outcome from a 1-d elastic collision. Understand the results of Rutherford andCompton