2007s_2 - Physics 2101 Second Exam Spring 2007 March 8 2007...

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Unformatted text preview: Physics 2101} Second Exam, Spring 2007 March 8, 2007 KEY Name : Sectien: {Circle ene) l (Rnpnik, I'VTWF 7:40 am) 2 (Giainrnance, W 9:40 are] 3 {Rupnih MWF 11:40 am) :1 [Rupeik, WP 2:40 pm] 5 (Giamrnance, TTh 10:40am} 6 (Geneales, TTh lsill pm] I Please be sure te write yenr name and circle yenr sectien abeye. «- Fer the preblerns, yen mast shew all yeur arerk. Let us knew what yen were thinking when yen seiyed the prehlenii Lener right answers will net receive full credit, Ienely wreng answers will receive ne credit. I Fer the qiiestiens, ne werk needs te be shewn (there is ne partial credit). I Please carry units threngh yeur calculatiens when needed, lack ef unite will result in a less ef peints. +- Yeu may use scientific er graphing calculatersi but yen must derive yenr answer and explain yeur werk. I Feel free te detach, use, and keep the ferrnnia sheet. Ne ether reference material is allewed during the exam. I GOOD LUCK! Questicn 1 — 11 Pcints The graph shcwn belcw represents the :c-ccnipcnent cf a fierce, FE, acting en a particle that rncves alcng the 5': axis. The particle starts nicerng from rest at the pcsiticn 33:0 rn. Circle the carrect enrith to the statements-fishes. (a) (4 pts)‘ During first 8 meters cf the meticn the wcrk dcne by fcrce F (i) is positive. W 1* i5 negative. = _— M “(24: O is 33m- - werK :1 area in, E—x Plat Hflbfl‘fé + 11: cannct he determined {Turn the data given. (h) (4 pts) The kinetic energ}r cf the particle is the largest at 1:24? W=AK % AKreo as lam? as Wen-c3 % I=fie 17* "15+ were WZUEV‘E W'DFK 3:9 EEK feefifid‘f be {1"} F31“- Vii? W M fit me Siam; dean Me: (e) (3 pts) Between magi; e: 2 eagle e Sittienpmuf) speeding up e-HLe 43:: 14—P M ii) slewing clown, g I did a (iii) nicving with censtant velccityufl 3E; H (M Questinn 2 - 11 pnints A hlnclc with mass an is placed against a spring nn an incline with angle 63 and a cnefficient nf kinetic frictinn 11.1“ 11;; :5 U. The blnck is nnt attached tn the spring. The spring, with spring cnnstant It, is cnnlpressed by firs and then released. The hlnck n1n1res a distance 13,3 :- flss, alnng the incline hefnre it n1nn1entari13ir stnps. Ctrcte the cnrrect ending tn the statements tetnts, related tn the Inntinn nf the blnck up the incline tn the highest pnint. » tntttat state cf the system (a) {4 pts) The change nf spring pntential energyr is i .flUa 2‘: I]. @ an; «a: I]. Ayn: gaff “ 111 fiUs = D. (is) Nnt ennngh infn tn answer. (b) (3 pts) The change nf gravitatinnal pntential energyr cf the hlnck is any n. ‘ J ’5 ‘ ‘ (/3335: Ah ‘ Q? w; 0- a; 231:0 thaw W may {iii} at? =1]. 3' {iv} Nnt ennngh infn tn answer. '- Zyji’ :- M '9 —' 0 > O {c} {:4 pts) The cnrrect relatinn, between the magnitudes nf the change nt spring and grsritatinnal pntential energies, is: .- S‘P ‘ gnaw 4M! 'ttlé‘t‘tjt MM; Waited 1‘» WWW/ Pt- (iii) mm: teUsJ- 15% m4 Tum-£21}? Mfflerréai fit {it} Nnt ennngh infn tn answer. A: mad {flaw a; {Aysi gig/H!) Question 3 - 12 points A dog and a boat are initially at restil as shown in the figure. Then, the dog starts walking along the boat toward a shore. Consider the dog and the boat to form an isolated system. that is. neglect the friction between the boat and the water. ire/attch inl‘eu 1 115:0 _.. __ é rf-H Z {Evélff‘ ELL 62%;: tot Gisele the eowreet ending to the statements below. related to the dog’s walk. (a) {4 pts} While the dog walks toward the shore the boat (i) is at rest. 0 = + gag-I} (ii) moves toward the shore. @ moves awayr from the shore. Tr? 725d .- fi Hi a loflfi- diamante-e - (iv) moves in a direotion that oannot be determined from the data given. [13) (4 pts) While the dog walks toward the shore the eenter of mass of the dog+hoat system @is at rest. ' 4‘96 ao?*‘£¢"fi— gym {'5‘ d f‘E-‘ff' {WlfiOK $ 'm rsJerdre-xfiaém? must P {Wadimmhfbé {3/de (yHE-M l l d h b 35;“ 5" bhéflmg flit/g, it: moves in a ireotion t at oannot e etermine om t e ata given. J; $1M Me “421% . (ii) moves toward the shore. {iii} moves away from the shore. {o} [4 pts} At any moment1 the magnitude of the linear momentum of the dog _____1. ‘4 @is equal to the magnitude of the linear momentum of the boat. a if": "' J}; o (ii) is larger than the magnitude of the linear momentum of the boat. ill—l: 1-... (iii) is smaller than the magnitude of the linear momentum of the boat. a J i =1— o {is} oannot be compared to the magnitude of the linear momentum of the boat. Prflblem 1 — 22 puints A hluek 1 sf nisss m1=fl.3flkg slides Eruni rest slung s. frietiunless ramp from height h=5.fln1, ss shewni At k=12fl0N/m the hetteni sf the rssnp it esliides with s ststiunss'}r bluek 2, which has Insss ‘ I ' " l m3=0.4flkg. Just after the sellisien, I I I I I I I I i i i l ' I I r ' I r ' + l ' I r I I I I I I I i I H hieek 1 metres hsek tswsrd the rsinp @ ® ® 1with s speed sf “shaft”. After the euliisiun, bleak 2 slides into a relaxed spring sud steps n'ie-nientsriljr after eenipressing it by :emax20.-i{]rn. The spring senstsnt (fsree eenstsnt) is #521200 N [111. Hint: It is net knee-tin if the esfiiistsn is eflesties' (s) (7” pts} Find the speed (magnitude sf velueity) sf hleek 1 just before the sellisieu, nLhei—hre. {reckon :L (Dvic@: "1. 557965 I ‘ “WK *7" is swim: mfl firm WK MHZ-em AK: "Au 4.... far“ AbJGCEK—j— ' 4)... es.” Jew) 2,. 2-K "imiqu = W’rjxfi,‘ Heidi. Posm'flfl. We: zfiif—xhflsfirxfieu 5"" Ci? «tr/S .fi—I } ( (h 7 pts) Find the s eed {nisnitude sf veleeity) sf hleck 2 just aftEI the euilisiun, uglafier. a mom Wésafie meg: 1: its-Hie Myfome mmxmm => mama-fl «sun. 41: cessfivked _ 0 AK = #42; 5 H fer Mme; final/y drifng git 0 52/4” Kiss =_"' (Jar—4Q xx; "0) 1 7— "f utz v =—*— 4r. #233 RM ) lIZQO N/fn ____2/'94u Z (s) (8 ptsi Filflfi the speed (magnitude uf Teiueity) sf block 1 just after the euiiisiun, shit-til?” “Kw/475.1 =+wi “Eben/933! .._I- --:r $ MA .=. [email protected]"mI}WLJ_Ms-Q ‘3 _ 0.40 2.?1'5... It. I L [3...) ML, “MJIg—al_’%}" I 5) Preblerri 2 - 22 peiuts In the figureI twe 2.00 kg bleeks are eeuueeted by a massless string ever a pulley ef radius 3i00err1 and retatieual inertia ef 9.00 s: 10"1 lag-rug. The string dees uet slip en the pullej,r and the pulley’s axis is £rietieu1ess. The system is released freui rest and the heriseutal surfaee is frietienless. (a) [:5 pts) Draw free-bud}! diagrams fer eaeh bluek arid the pulleyr iu the spaee belew. Went? Hack: mgr/fl: Mia? (1)4 A A j; A Funa- {flR—lilR:Icl§l"—*Ilg altHaI-s—fi-lal (a) ““l '- (q.<2s-)= 3 92. «at/1. *" = fi—f = ‘l to” 5" ' 5 2—m+--"a: 2*m 2 balm” (TH: My Isl):- (2.01.1)(ms; ——- 9.92%): “.74 N LILS' N . Mmsm figmwgbfiiif #136 Tfitfiiml; mat pulls m han‘wcfcz} Mock (d) {3 pts} Cirele the eerreet relatieu between :uagriitucle ef tensieris T1 and ‘5: T3 T1 1‘:- 'Tg Prcblen‘l 3 — 22 pcints An ehject with a circular crcss secticn and rctaticnal inertia I = 16111123, 0 c: ,8 g 1, rc-lls Efllflflthl}: [uc slipping) up an incline with an inclinaticn angle 9. Initially, at the bettum cf the incline, the rclling chject has the center cf n1ass speeii nu. mesa mum??4£m=~nfi Mi agm=o£ R } hem (a) {7” pts) Obtain a symbclic enpressicn fer the kinetic energyr cf this rclling c - a e butturn cf the incline, in terrns cf us, no, ,3, and numerical constants. 1... K zé—H‘ldrl +_L Imthfid'jmfiar i @6612" =ggmgp:( I+/5) (at... 2 lite swimwear: K=JiIPmfi we MINE :- IF=I +mR1=fimRL+mRL= mere/b) 2.. :i (MR1(l+/l‘3)(1%) =imfi(l+fé§ “:3:ng rmif a if mfg (h) [8 pts) Obtain a symhclic espressicn fer the distance d, representing hcw far up alcng the incline the shell travels befcre stepping, in terms cf no, ,8 _9, g, and numerical ccnstants. Here, 9* is the frcefall acceleraticn. {Lia fit: “din-E .- . : malt. Milli”) % W mark! (Manual $3.7? Ewe 2' aims It ) . J- J“ __ .9 «(43.15! AM 12"!“ 2.. rfimil'f“ qrifufi' 44;”, (1+ L53 flcszm %' d = 20-195 6L:- 2 EF=u¢$ uflfiQ—¥5=uq_ 3’ 3:: Ins: Ra swat “‘3’ (d) [3 pts) Dce fricticn dc an}? wcrli en the shell? Explain in a ccninlete sentence. Na, a6 settleman is summer Edam mm mm, .. , 7 dofih‘l’domgMJM‘fiflgtShomW “mmflé W FM (1m flashemazt)w m W $94,534,, ,, i “a; dowefibalcgdflpke ,9, gear at hip-m m w :M 5 ...
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This note was uploaded on 05/20/2011 for the course PHYS 2101 taught by Professor Grouptest during the Spring '07 term at LSU.

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2007s_2 - Physics 2101 Second Exam Spring 2007 March 8 2007...

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