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Course: UMB 113, Fall 2009School: MIT
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Physics 113 Problem Set 12 Spring 2007 Due Tuesday March 27 in Discussion Section Reading for Tuesday March 13: Text Sections 8.1-8.5 Reading for Thursday March 15: Text Sections 9.1-9.6 (1) (2) Chapter 8, Page 129, Problems 16, 19 Chapter 8, Page 129, Problems 25, 32 Problem 32(b) is borderline bogus. Your answer should be a respectable fraction of the speed of light, which means that General Relativity would be...
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Physics 113 Problem Set 12 Spring 2007 Due Tuesday March 27 in Discussion Section Reading for Tuesday March 13: Text Sections 8.1-8.5 Reading for Thursday March 15: Text Sections 9.1-9.6 (1) (2) Chapter 8, Page 129, Problems 16, 19 Chapter 8, Page 129, Problems 25, 32 Problem 32(b) is borderline bogus. Your answer should be a respectable fraction of the speed of light, which means that General Relativity would be a factor. The point is that once you're on a neutron star, expect your remains to stay there. (3) Chapter 8, Page 129, Problem 37 We've used this result, but indirectly, in the Lecture Notes for February 22. (4) Chapter 8, Page 130, Problem 59 The hint is certainly valid, but the result is also obtained from simple algebra and a simple limiting process. You'll need to decide how to express g in terms of the parameters of the problem. (5) Chapter 8 Page 130, Problem 61 In a common variation (both in physics texts and for the realistic cases of binary stars), the masses are different. The solution of that problem is a bit more involved, but the result is quite similar. For now, treat this as an optional extra part (but still do the problem) and look for the variation in the solutions. (6) Chapter 8 Page 131, Problem 64 Don't be put off by the length of the problem statement. The gist of it is that the total mechanical energy of an object of mass m in an <a href="/keyword/elliptical-orbit/" >elliptical orbit</a> of mass M is GM m , E=- 2a where a is the semimajor axis of the ellipse. This result takes some effort to derive, and need...
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Physics 113Spring 2007Supplemental Diagram for Text Problem 8-64The above diagram is not meant to be to scale for Problem 8-64, but it's not that far off. The idea is that it represents any Hohmann transfer. The respective dimensions allowed re
MIT - UMB - 113
Physics 113Problem Set 13Spring 2007Due Thursday March 29 in Discussion SectionReading for Thursday March 15: Text Sections 9.1-9.6 Reading for Tuesday March 27: Text Sections 10.1-10.5 (1) Chapter 9, Page 151, Exercises 14, 19For #19, the gi
MIT - UMB - 113
Physics 113Problem Set 15Spring 2007Due Thursday April 5 in Discussion SectionReading for Thursday March 29: Text Sections 11.1-11.5 Reading for Tuesday April 3: Text Sections 12.1-12.4 (1) Chapter 11, Page 183, Exercises 15, 19 For #15, you mu
MIT - UMB - 113
Physics 113 Problem Set 15 SolutionsSpring 2007(1(a) Exercise 11-15 Take the east direction to be the ^-direction and the i north direction to be the -direction. The initial angular veloctiy is then initial = ^ (140 rad/s) ^ and the change in ang
MIT - UMB - 113
Physics 113Problem Set 16Spring 2007Due Tuesday April 10 in Discussion SectionReading for Tuesday April 3: Text Sections 12.1-12.4 Reading for Thursday April 5: Text Sections 13.1-13.4 (1) (2) Chapter 12, Page 196, Exercises 16, 20 Chapter 12,
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Physics 113 Problem Set 1 SolutionsSpring 2007(1(a) Exercise 12-16 For the situation in Figure 12.11(a), the vector sum i ^ i ^ F1 + F2 = 0, so any force must be opposite the sum, or F3 = -F^- F = -F (^+ ). For static equilibrium, the net torque
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MIT - UMB - 113
Physics 113 Problem Set 18 SolutionsThese solutions will use, without apology, the relations v= F = = f = T k T = 1 2 = , f k= 2 . Spring 2007 = 2f,Intermediate numerical calcultations will not, in general, be included in these solutions.
MIT - UMB - 113
Physics 113 Problem Set 21 SolutionsSpring 2007(1(a) Exercise 16-17 A classic, often seen in game shows and trivia contests. What we do is solve Equation (16.2) and the equation TF = TC simultaneously. Eliminating TF between the two gives TC = 9
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Physics 113 Problem 16.72 SolutionSpring 2007Let's make a slight change in notation, using r1 and r2 as the radii. Other than this change, use the notation in the problem and in Figure 16.17. My interpretation is that the pipe's outer radius is t
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