Exam2_03_solutions - First Name Last Name Section ‘ l 1...

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Unformatted text preview: First Name: . Last Name: Section: ‘ l 1 ng/Igrsch 28, 2003' . , Physics 207 : —— : pm EXAM 2 Print your name and section clearly on all 5 pages. (If you do not know your section number, write your TA’s name.) Show all work in the space immediately below each problem. For numerical problems, your final answer must be placed in the box provided. Problems will be graded on reasoning and intermediate steps as well as on the final answer. Be sure to include units wherever necessary, and the direction of vectors. Each part is worth 25 points. In doing the problems, try to be neat. Check your answers to see that they have the correct dimensions (units) and are the right order of magnitude. You are allowed only the equations and constants in this exam booklet. The exam lasts exactly 50 minutes. - (Do not write below) J g , _ SCORE: . 6531—50 : it 53% W ‘Partl: Part 2: Part 3: Part 4: TOTAL: Don't open the exam until you are instructed to start. Please relax! Words of inspiration: "Whatever you dream you can do begin it. Boldness has genius, power and magic in it. Begin it now." ............. Goethe First Name: 1 Last Name: Section: I 2 .43? .5 PART] ryvx You discover that y shoes are. frictionless and you are unable to walk on the ice! Luckily you have your copy of ijlerfilith you (mm, = 1.4 kg) and cleverly decide to slide it along the ice to save yourself. How far will you have moved by the time ijlér reaches the edge of the pond? Assume your mass is myou = 65 kg. (13 pts) . (.w' , ”Elma are via £4?qu EMMS t“ Lmfiml‘a Lt‘f'flriififi‘; fit? 5 CH rmaa‘vs £5‘i‘eg :69" 5 a.) Your prankster'figfds leave you stranded at the center of a circular pond of ice of radius R =160 m. .vgramh QM: ~91“ (Jaguar 91.» Pm J . {Lg ‘ trams wit. . 70V 49W ales“ 4;) ) 7 °" . Tiobt I 0015‘ uéi‘ WWYA‘JM I I (90 we \(30 maifiug‘gave’ + VAT“? XTYO ; 0 If} XZW : — w ’50 M " t C“ . b.) Suppose you're on a rooftop and you throw a ball downward to the ground below with an initial speed v. You then throw an identical ball upward with the same initial Speed V. After rising, this ball also falls to the ground. At the moment each strikes the ground, how do the speeds of the balls compare? Explain your reasoning. { 1?. (Skis. 5.11:3: "Vii mgm‘jt eaJA Luv“ is Mattress} ea LIA Lee +41 if“? A “is ¥a\ «Ewe-{7.3 E : RE 4 l:‘Efi LAW {E :. iwv ’ aw} .5 . . cg; f _ 'j. _ E W ~\. . ’EE : mfgk {WM 5.5 \Aewfit art-- i‘aa‘i 1m? o-bwt 33‘s) A}, ’ i I l 11$ {30“ (”ail er\5‘~e ow #ew‘é hall 55 (7 I‘m/i - I palm hi!“ i!) l x r i: _. . L V t \"I irrita- é’" fig 5 Léhéai @9qu 34:)” {,4}V‘ Eflxf til 3%“? in.» “5 Li ‘15 A‘Lg "5‘9”‘15‘ w5% '45:! swawgm €994: . t3 First Name: __’_____'____ Last Name: ' Section: I 3 PART 2 a.) A uniform rod of length 2.8 m and mass 3.9 kg is free to rotate on a frictionless pin through one end. The rod is released from rest in the horizontal'position. What is the torque about the pin at the moment the rod is released? (13 pts) [XII—:3 I Z 5:} - W315 ‘36 (2% TULJ‘) First Name: = Last Name: ' Section: I ‘4 PART 3 a.) A skier starts fiom rest at the top of a frictionless incline of height 20.0 m. At the bottom of the 511011116, the skier encounters a horizontal surface where the coefficient of kinetic fiiction between the skier and the snow is 0.210. How far does the skier travel on the horizontal surface before coming to rest? (13 pts) b.) Suppose the incline also has a coefficient of kinetic fi'iction equal to 0.210. How far does the skier travel on the horizontal surface now? (12 pts) Siwfi o—e“ {93514. m 3‘“ =-*’ n it me» can; £ + are, m g, X - J i ‘ . r Viv“, W (g M. 1N u ‘ 31‘: g j; a. 37:2. ‘ t ii “D. 93' W E w¢~a~w .u . u» .7, .. r . , , " M > Y‘zvég’g xii." First Name: Last Name: Section: I 5 PART 4 a.) Suppose you are standing on the center of a merry- -g0-round that is at rest. You are holding a rotating bicycle Wheel over your head so that its rotation axis is pointing upward. The Wheel is rotating counterclockwise when observed from above along your axis of rotation. Suppose you now move the Wheel so that its axis is horizontal. What happens to you? (8pts) The merry 30‘- WW‘A W‘tu- $9 1‘“ ‘TW ’YLQ CaLhAVY‘ dwtwfixz ASTJL‘XiOVi 3:9 Wfieflvé Offiu’lak Wlanafiswi, b.) Same as part "a", but now what happens if you then point the axis of the wheel downward so that the wheel rotates clockwise as Viewed from above? (7 pts) 71% Wtzflr'r‘ fig?" {Mgr isn‘t“: fias‘m [5,4555% »—~ Z ifiwé 44¢ ’3; 5 X: Pm‘tuafi (Lieu; J79 {amévafivfi agate? V9153 ’ 5:3 0 L 0:3191’ WW 3.2m. c.) You are to knock over a gigantic bowling pin at a fair by throwing a ball at it. You have a choice between two balls, one that collides elastically and another that collides inelastically. . Which do you choose and why? (10 pts) m £1064“. Crag ii"? iii??? 36 Mag {.2 Life-«1 {554’ s él‘gfgw Wtkv'j 5 , ‘3 W We 30a“! 33.32“ 3’2:th 35 tam-1w w W3 £14 ‘45 ~27 A; a _ L‘ a VYI ’ fisswlii’v’fifi" . . ..... ’U’ {,3 g It} . C ,. .33.: m a 3”?“ m. {viva} M 31"“ x ‘1‘ 2”; j, W: a, t r I“ w i 3 £ f in T is": \‘W \iht’qfi- an 3 a» 1 is? $15 M ,3» 2 v’v’fi 1711;; 1)} ;, ,1 1 3:1 3;. ,3, :3 _. .1 ...
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