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qs-final-s05 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Spring 2005 FINAL EXAM SOLUTIONS Exam Date: Tuesday, May 17, 2005 FAMILY (LAST) NAME GIVEN (FIRST) NAME STUDENT ID NUMBER Please check ( ) your class L01 MTW 10:00 Walter Lewin L02 MTW 11:00 Walter Lewin L03 MTW 2:00 Min Chen L04 MTW 3:00 Min Chen INSTRUCTIONS: 1. The FORMULA SHEET is in the back of this exam. You may tear it off. There is also an extra BLANK PAGE in case you need it. 2. This is a closed book exam. CALCULATORS, BOOKS, and NOTES are NOT ALLOWED. 3. Unless otherwise stated, to earn full credit you must show a valid DERIVATION and/or EX- PLANATION of your answer, and you must ex- press it in terms of the GIVEN VARIABLES. Part II: Make-Up Exam Problem Maximum Score Grader 5 20 6 35 7 30 8 35 9 30 10 35 11 15 TOTAL 200 Part I: Quiz 13 Problem Maximum Score Grader 1 20 2 30 3 35 4 15 TOTAL 100
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8.01 Final Exam Solutions, Spring 2005 Name MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 Spring 2005 FINAL EXAM CORRECTIONS Tuesday, May 17, 2005 Problem 8a: Express your answer in terms of P E , M E , and R E . Problem 9: Assume that the mass of the spring is negligible. Problem 10c: The skater is twirling about a fixed axis, and L denotes the angular momentum about that axis. Note on Procedure: If you decide that you do not want us to grade the make-up part of the exam, put an X over the grade box for the Make-Up Exam on the first sheet of the exam. Remember, however, that if you want us to grade what you have written, there is no penalty. The Make-Up part of the final will count only if it brings your average up. 2
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8.01 Final Exam Solutions, Spring 2005 Name PART I: QUIZ 13 Part I is the first of two parts. It replaces Quiz 13, and will count toward your final grade the same as any other weekly quiz. The only difference is that lowest of the first 12 quizzes will be dropped, while Quiz 13 will not be dropped. Part I is intended to be one third of the exam, but you are free to divide your time as you wish. Part II, which is optional, starts on p. 12. Problem 1: Basic concepts about special relativity ( 20 points ) (a) ( 5 points ) Which of the following statements best describes the relativistic definition of momentum and its relationship to the Newtonian definition, p m v ? (i) The relativistic definition of momentum is the same as the Newtonian definition of the momentum. (ii) The Newtonian definition is consistent with all the principles of relativity, but experimentally it has been found to fail at velocities near the speed of light. It therefore must be replaced by the relativistic definition. (iii) The Newtonian definition of momentum is inconsistent with the principles of rela- tivity, because the relativistic transformation equations (i.e., the Lorentz transfor- mations) imply that if the Newtonian momentum were conserved in one inertial frame of reference, it would not be conserved in other inertial frames of reference.
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