Exam-2-solutions_61785

Exam-2-solutions_61785 - l A whee initially rotating at snn...

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Unformatted text preview: l. A whee] initially rotating at snn res'etunnnsa’rninute ts then brought tu rest in 1U s. The magnitude of the average sngutnr et'ccierntien in facts at the whee] during this process i5: “’F‘J—Lvfiv LN“) Luna :E‘wat’fi L-J 3.0 .~_ 2 {it} it's: { Hts )[ees (Kn-u) ’ i:— ’ t1 0; t'i' “'35 27E ‘5': - {lb-s: Di Him 1 L... {4.5. H} {1 and? _, -q‘_'k-‘l't‘ln._.lf5 " —-a—--:-1 - L 3 1 lug err—Ag"; :7“: Lfifmffi -.I Ls. An escnintt‘tl‘ is used In mtwe tit} penple [5t] kg. etteht pet ttntttltc It'tjltl the Nest Ilt‘ttn' at :t department stnrc tn the sccenLJ Hunt. 5 1n nhm'e lettering any effects at trietinn, the newer let'ltnr'et't Is nppt'e-ctnteteiy': A ten w ._ s s W "*5" W”? H; Ettttw mm“: “umw‘fi'lmflb‘t HP" 7:.— fi ems C} Innnw Free = “Wu “9”” “*“LJ H F e} zenn w “a” “UN " “m” w: asammuwm t tiuoaaf 3. A smut] 013th et' runes in. en the end et'n rnnssiess enrtt, is held J‘tfifi20ntfllly at a distance r frent a fixed supper: es shntt n. The object is then released. It met-es under the influence of only grist-its“. What is the tensinn in the ens-n when the object ts at the luwestpeintet'its swing? Eur“ (Linkswva'e‘tm Lt?- ‘E'M‘rt .s. — -=e LIEij y 'm l IL‘ - f "*3" * W" Uh: \‘k 3*} z“:- m'u-t: ZWZ‘" A} mng B} mg 4-1:. bet-t aw. i C 2mg F:_:L:T.—Mx m T " E} mgr m :TFHE :7} Tiamé m; V ?age 2 --’l. The potential energy of a hedge of mass m is given by U = act ‘ flutj. where r? and l; are constants. The corresponding force is: ' hr: LL '5” ‘fl F':-éi EL. . $-3m1 an a» r Cl —rt+b.rt’2 _ oi u—tmo " : “(ti-4W” E} a. + Blot“3 'r. «q... 3.51: 5. The plttttt'tl Mother is tilt‘t'mst spherical and has nearly uniform density. [ts tttttss is l'i'tttt' times Ini'gcrthan that oE'Earth. and its radius is two times larger than the radius of Earth. An object Lllt}]J[_‘tt..'-ttl near the surface of Plttthts has approximately what act;clct'atiott'.J fl} '3 I‘t'tt'lt-t'~ BEE : Qfifl'i 1. ‘_' (AME 1m! 1 4H,, 2 1 112 I] 5 flats2 I EIEI. 1"? E," I" I: 'P r; i [ii Hunts" l w l" U] 2ft ITIle “" Iafl‘i‘fr‘ 1 Gr {*1 HQ; : GHE # ; oi to are unfit, E3: M lost}; I? I . . . . I. N — . . I (J. .-""'i. disk thl't rotational Inertia oi it} Is; - tit‘ and rattitis ot tint] in rotates on :i Irtctionless “XE-Ll asis. 1Which is perpemlietiiar' to the disk faces and through its center. ft force of Etttl N is applied tangentially to the rim ot‘ the disk. The titagiiitude ol' the angular acceleration of the disk is: 1:: u. a F at“; ' re: u. fled At t.t.25 i'tirlfs" I “Legal”; tastiest-1mg? D} 0.50 roofs: fl 2 f: LT LU radi’s‘ I . swam H} t'fldn'lfi' (I fl 0 hfl.ma~i 5": : Z-flrecef'si T. A piece of wire stremhes 1.2 cm when outwardly directed forces with magnitude F are applied to each end. If the same forces applied to another wtre of the some material, but 1which has three times larger diameter and is three times longer than the first wire-.. the second w1re W11] stretch: 4 t. : FL Li :EL 6 1.; 3:; =1», AL; 9;; A} [Lit] cm AE E} [1.43 cm _ I Em C} [LSD cm ' ' 'F‘ 3 I. _. '- D} hid-CT] an" “EL; : PL—maL-E 1—i- ._.——-FL" '2 h—L:D.4DLM E} none olthesc a; 9mg 1- AE 3‘. Page .1 3. A 1kg block. initially at nit-it. it; ilmppud [mm a point It] n1 nbnw: tin: HfltTh'S snifncn. At what linighi ntrrnve I-mrtl‘t'R nurfnce will the hinek's kinetic energy equni thrce fnur'ths of its initial gruvilatiunul pnlential unargy'.’ ii}: D “1.1: —' 2 Li; :“I Eli—3 2' L1; Afl:-flu B'J 7.5m 3 _ l ‘ C) Kim IU' PULL“ “'1' m Inn'i =‘> Lit—.iu-i Iii nnne of they: ‘5'. A pluggrnund main-5311 rnund has U. radius. nf it] m and u rttttttitlt'ttil inertia nt' 9W} kg - m‘. It it: initially hintinirii; I'wtrlj- [i u.. mi untmnnl twists-a m [Lilt'LllItT-Tj art: tillpiitttl, :uul Ilium l5 nn fricnnn} with unguinr velncity Lt} malts. Than an [1 kg child crawls frnm the L'-t_'lllL‘-] lLtlI]CI'iII1.1LI*'ritL'-lt tht; L'itiitl t'u-nLthL‘h tin: rim. Li'EL' miguint vuiuuity Lit tilt:- rrwl't'yagu" rmnn‘i is: npprmmnnicljt': Li =L_F L; liagghfl.m15hlurdk> I'M]: LI radix 3 film kin-Hwk H “Hit: midis 1 C]: (1.94:; 1'3de tuft; [[quflhjufig *{ukfibdflfifi 1H? [J]: UT] [mitts _ I :i. ‘3‘ . |r1MIL . [it tth rudJ'H ‘1 “’1‘ its, 3%. If 1 L__" , b _m ‘i‘i‘thflim it}. It man in Standing stationary nn :1 hnnmnmi fncnnnlens surface. He thrnws it stnnn JIEH'iLL'mtaily In this. right th-‘ith stnucd EU HEEL. 11' tin:- man “flights TUB N ant! Lin:- stunt: weighs It] N. the mam than 5151535 tn the let”: a: upprnxtmmeiy: A} flit-151mg TitrP-i- “IF: 3-D Hamil-“thaw EL-fluEF—r mill-Tum Bi {ME mm IE : [:0- * D} Inn's E} Hum: ut'thcsis. z":- vm“ : _ {llhfi‘tim—mfi) nckg 1J- '='D,I.Mf5 Mil-Ln ||. Blocks A and E are Hunting toward each other along the XHKlt'S. The magnitudes of their momenta are the same. Block A hee e mate of 2.9 i-tg and a velocity of EU Into. while hleclt H has :1 mass; of SI] kg and a velocity of ED rrtfs. The}: suffer an elaetic L'ulllfiiutt. and then move apart along the car-:15. How much kinetic energ}r is transferred from A Lu E during the conic-ion“-I thnt: in en einqttr ceiliqion. totnl kinetic energyr is conserved. Else. il'energy is. Ltansl’erred from :51 to B in the ceiitstnn. then the klnetlc energyr of B after the collision will be larger by [MS amount Lhen it was before the eolllsinn.) Pi fl .- . . H tel either f?" fir. * “Fm = ‘-‘-“‘*1‘l““'r”l't“‘“fl'zzdwl‘l‘” 1'1? an“ t :I H‘- 11} teen] 1 '1‘ ‘ b3 3 lane.- an..£‘ beg—emf} e1 tnennj “I11; l2. fit particle ntueea 2.51ni11tlte positii-e_i-'tlitettieit while being acted upon hi,» it t'enetnut forces”; [4 N}! | [2 MI + {-1 MI. The ttui'lt tlutu: on the itatticle in,» this force in n to ,1 cm?" Eatqm‘ttn‘i +{—£Njiz.fm\g+tq~‘l(u‘j L} -1fl.| w‘:-r‘§ D} 211] F} none of lhtti-Ll? l3. Aeeume that Earth ib- iii CUL‘LiléU mint around the Sun with Ittnetie energy ti’nurl potential energy U. A5 usual. Uis taken te be one for infinite separation ot‘ these bodies. "l'hen. whnt is the reletinnehip between Karel L"? iHltit; Retuettther that tltia is uniform circular motion.) r_ _ I =_Mu__1 _2'K1 Elfin-LL fibril-ZIN- tt int} '1‘ T= T t: it: 1112 "L: 1-”: = U F: - EH”: 1 L‘ Cfififlj 7:} r r‘ E.) none oftheee PL r r ' lien L'| 1L 't ——"—'—'1 FL— \fl:-'—Va 14. A attaight.unift1rm plank has weighl Ell-N. It leans against a frierinnlma wall as shown. There is i'riL'Licttt with the fleet. and the plank does not slide 111' fail. The magnitude til the [cirque {ahuut paint P. where the plank thtlhhes the flUUI} applied tn the pianit h}; the Wallis: .='-'1]I 3L1 31-111 dL:3£w( ‘ 51% Ll“ E) B} JEN-[TI MM [.3] El] N-Iti l -—._....'-._,_,. ' will Elli-NIH Iii 1211111111 ma *0 53‘ 1TCairlfmtnl litH_u1'—' .NH i5. 'i'liiee Jilflbbl'e'r pattielea lit- in the [311% pl;1ne,5t1tl1eir z L'iJLJi'diiEiiLt' it; new. l’at'lic‘lt‘ Ft llaa 111.155 2 kg 11111115 at {.1“__I.ft = {H.U [it [ill m) particle. B has tttarei 3 113 and i5 ai [.t'._13'| 1 [—?.fi 111. 4.01111], and particle 1C has 1111135 C1 l-tg and ES at [.1311] — ti ti 111. —2.fi 1'11]. Whal is; titt- [1.11% pflfilllnfi hllhe center ttfrttaaa ui' llilib thiee pattit'le :‘geatent':J A] {1.3 111. —L|I.E1 111) at: taeakznfih {waiting 1. Li'tgfi'tjm‘i 511%. w. B] {111.5 111. —1.3 m} - C ___{iJ‘.U_111_. 4.5.3 11111 D] 0.3 111. —i. El {[15 111. {1.5111} : tn 1m + heath-1.11% Hit; item-31 - um \{ _—1—~—~———’h—__ 1. EL. 1 4.2.1111 zlfirfidfllIL-g'fi'gk: hunt! 311:1 i-llunfihmk _ NHL-h 1E5. Twe {thjecta with masses. rm and mg. have the sattte initial kinetic energy and are. hnth 11111121113; moving in the. 1 xdiree'cian. lulu-'hfle they are tttwhtg. the same ehttatattt force-.13: which points. in the —.ttiirect1't1n, acts 1:171 hath masses. causing them 10 Step. if 1111 = 31:13. the Pattie {if the Stepping diatattce {if m; tn that of m: is: 1‘1 i:-i1 - . Bill 4:1 lnl- GAL: iii—L1 (Saw-1.1.. gaf m1 mack-Ml 5mm; ELLA-:11... avg, [My :EMF .3 D) 1:} 1:2 ,"‘,3 -1 a - D} 2:1 N F 1? th” 5 “lug; l"'l1=‘=l::‘=i El 1:1 211" *1 ...
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Exam-2-solutions_61785 - l A whee initially rotating at snn...

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