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FUVEST Vestibular 2006 Prova - Segunda Fase - Física

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seluoj 4 airolac 1 )g.C (/J 4 aug ad ocif cepse rolac s/m 01 x 0,3 = ouc v on zul ad edadicolev mc/g 1 = 3m/gk 0001 = ,arutar8epmet reuqlauq a ,aug ad edadisned 3 s/m 01 = g ,arreT an edadivarg ad o areleca A 2 ETOD E ETO N .onredac etsed lanif on otnauq oic ni on otnat ,ohnucsar arap o apse H .satsopser sa revercse sanepa etneicifus odnes o n ,se tseuq sad o uloser a racidni lev snepsidni .atierid ,atsopser ed ahlof an , etnednopserroc o apse on odartsiger revitse euq oa etnemos atirtser res o tseuq adac ed o erroc A .ETNEDNOPSERROC ANIG P AD O IUTITSBUS A LACSIF OA A EP ,RATLAF ES .OSSERPMI- RP OHNESED MU ECERAPA 90 E 80 ,60 ,40 ,20 SE TSEUQ SAD SATSOPSER S ODANITSED O APSE ON ES M BMAT EUQIFIREV SAROH )S RT( 3 :AVORP AD O ARUD .OTELPMOC TSE ES EUQIFIREV .SATSOPSER ARAP SO APSE E SE TSEUQ )ZED( 01 M TNOC ONREDAC ETSE O NETA .soizav orietevag od e satevag sad osep o eredisnocseD A N ETOD E ETO .se idnoc siamed sa odnetnam ,etnematelpmoc atreba rof atevag asse odnauq orietevag o rarbiliuqesed ed ocsir ajah euq mes , G me adacoloc res edop euq ,gk me , xam assam roiam a enimreteD )c .etnerf arap ebmot o n orietevag o euq odom ed ,2 arugif ad se idnoc san , G atevag ad arutreba ed ,mc me , amix m aicn tsid a enimreteD )b . olobm s o moc sotnop sesse odnacifitnedi ,sadahcef odnauq satevag sad amu adac ed assam ed ortnec od o isop a ,atsopser ed ahlof ad ameuqse on ,euqidnI )a 2 2 M D .etnerf arap es-ranilcni e odarbiliuqesed racif orietevag o ed ocsir o etsixe ,atreba odnecenamrep ,adaxup G atevag a odnauQ . G e G , G satevag sad odnuf on etnemavitcepser ,emrofinu odom ed sad ubirtsid ,gk 3 e gk 8 ,gk 1 ed sassam sadacoloc marof edno ,siaugi satevag s rt iussop ,sarugif san odatneserper ,alacse me ,lasrevsnart etroc on sadacidni o tse se snemid sajuc ,orietevag mU 2 3 2 1 20.Q 78,0 03 soc ;5,0 = 03 nes .atsitaks od saicaborca sad sotiefe so e otirta o ,ra od aicn tsiser a eredisnocseD A N ETOD E ETO .a naruges moc ,B me R apmar a ajnita atsitaks o euq arap ,B e A sotnop so ertne ,sortem me , aicn tsid a res eved lauq eluclaC )c D 2 .B e A sotnop so ertne ,ra on ,egnita atsitaks o euq ,olos od ritrap a ,sortem me , amix m arutla a enimreteD )b H . R apmar ad A edadimertxe a egnita atsitaks o euq moc ,s/m me ,A edadicolev ad olud m o enimreteD )a V 1 . R apmar a ra nacla ed setna ,B e A ertne oid m otnop on amix m arutla aus odnignita ,ra on atlas , R apmar a recsed oa ,atsitaks mu euq amrof lat ed adatejorp iof atsip A .arugif an sodacidni solugn e sarutla sa moc ,D aicn tsid amu rop B e A ertne sadarapes , R e R sapmar saud ed ritrap a adatnom ,lacidar etropse arap , etaks e d a t s i p a m U 2 1 2 1 10.Q .edicni euq o erid amsem an egreme etnel amu ed ocitp ortnec olep assap euq oiar odoT A N ETOD E ETO .)ohnidardauq 1( mc 01 me odaxiaber rof etnel ad ocitp ortnec o odnauq ,B ahnil ad o isop a ,2 arugif an ,avonB rop odnacidni ,etneserpeR )c .F artel alep se isop saus odnacidni ,etnel ad socof sod mu adac ed o isop a , sadairporpa o urtsnoc ed sahnil sa odna art ,atsopser ed ahlof ad ameuqse on ,etnemacifarg enimreteD )b .C artel alep o isop aus euqidni e etnel ad ocitp ortnec o euqraM .L artel a e lacitrev ahnil amu rop o isop asse odnacidni ,etnel a adacoloc iof edno o isop a , sadairporpa o urtsnoc ed sahnil sa odna art ,atsopser ed ahlof ad ameuqse on ,enimreteD )a .laretal atsiv a ,3 arugif a e etnerf ed satsiv a mednopserroc 2 e 1 sarugif sA .satsopser ed ahlof an ,alacse me ,sadatneserper o tse ,sadasu aicn tsid e ohnamat ed se idnoc san ,adatejorp megami a e aicn rapsnart A .odal oa ameuqse emrofnoc ,ederap a e ahlof a ertne adacoloc ,etnel acin amu e zul ed etnof amu es-odnasu ,acnarb ederap amu erbos adatejorp iof )aicn rapsnart( ocits lp ed ahlof amu me adavarg arugif amU 40.Q .a rof ad oditnes o e o erid a met V odnauq ,auta euq me oproc od V edadicolev alep a rof ad otudorp oa laugi ,F a rof amu rop adivlovnesed ,P aicn top A A N ETOD E ETO .rotom olep odaxup odnauq ribus edop rodavele o euq moc ,s/m me ,LV amix m edadicolev a enimreteD )d .) s/m 5 = ( ) b ( m e t i o d s e i d n o c s a n , o d n i b u s r a t s e r o d a v e l e o e u2q m o c ,s/m me ,2 edadicolev a enimreted ,rotom od aicn top a atnoc me odnaveL )c a V P . s/m 5 = olud m ed amic arap o areleca amu moc odnibus tse ele euq m2e etnatsni on ,rodavele o erbos ecrexe obac o euq ,N me ,2 a rof a enimreteD )b a F .etnatsnoc edadicolev moc odaxup ele odnauq ,rodavele o erbos ecrexe obac o euq ,N me ,1 a rof a enimreteD )a F .Wk 051 = aicn top a ecenrof rotom o euq eredisnoc ,oxiaba se tseuq sad se idnoc saN .o urtsnoc me oic fide mu ed anretxe etrap an obac mu rop osnepsus ,gk 000 5 = assam moc ,agrac ed rodavele mU P M 30.Q .roiretna oslup od o pecer ad sioped oditime s oslup adaC .mos-artlu ed adno ad solcic sorem ni rop otsopmoc oslup adaC .air rtibra alacse amu me I edadisnetni a matneserper socif rg sO .s/m 0021 = ocits lp on mos-artlu od edadicoleV zH 01 = zHM 1 s 6-01 = s 1 ETOD A E ETO 6 N .sadazilitu mos-artlu ed sadno sad ,mm me , adno ed otnemirpmoc o enimreteD )c .acalp ad ,mm me , D arussepse a emitsE )b .sodatpac soslup s o e s o d i t i m e s o s l u p s o e r t n e , s m e ,t o p m e t e d o l a v r e t n i o e n i m r e t e D ) a .acalp ad etrap atrec amu me ,rotpecer on sodatpac soslup sod e soditime soslup sod opmet od o nuf me sedadisnetni sa ,etnemavitcepser ,matneserper II e I socif rg sO .zHM 5,1 = f aicn qerf moc sadno ed soslup sodasu o s ,ocits lp ed acalp amu ed arussepse a rirefnoc arap ,edadilauq ed elortnoc ed etset mu mE .rasilana reuq es euq otejbo od eic frepus amu me o xelfer ad etneinevorp oslup o e oditime lanis mu ed oslup o ertne o arapmoc ad ritrap a saditbo res medop mos-artlu rop snegamI 60.Q m/N 01 x 00,1 acir fsomtaP 2 5 H g =P ; TRn = VP A N ETOD E ETO .euqnat omsem essen aditnoc ,1T arutarepmet ,1m lanif ra ed assam a e B euqnat on etnemlaicini aditnoc 0m ra ed assam a ertne 1m/0m = 3R o zar a enimreted ,B euqnat o araP )c .seuqnat sod ortned 0T laicini arutarepmet a e 1T lanif arutarepmet a ertne ,0T/1T = 2R o zar a enimreteD )b .A euqnat on ra od 0P laicini o sserp a e 1P lanif o sserp a ertne ,0P/1P = 1R o zar a enimreteD )a .lanif o autis a arap arugif an adacidni o arugifnoc an odnatluser ,1T arutarepmet amu a sodiceuqa o s seuqnat so ,adiuges me ,e adahcef A aluvl v a sanepa ,lairtsudni ossecorp mu ed apate amu mE .0P acir fsomta o sserp e K 082 = 0T arutarepmet amu a o tse seuqnat sO .laicini o autis a arap arugif an odatneserper omoc ,satreba o tse euq saluvl v meussop e aug ed soiehc etnemlaicrap o tse ,sodagilretni e arutla ed m 6,1 ed ,B e A ,siacitrev socirdn lic seuqnat sioD 50.Q )a = t s )b =D mm mm = )c C/N 1 = m/V 1 2 C / 2 m N 9 01 9 = k e d n o ; r / Q k = E ; r/ Q Q k = F A N 2 2 ETOD 1 2 E ETO .A otnop on ,m/V me ,A etnatluser ocirt le opmac od edadisnetni a enimreteD .aled amica sam ,acalp omix rp otium e arugif ad O otnop od D aicn tsid amu a tse A otnop O . A E ,etnatluser opmac o omoc meb ,acalp an sadizudni sagrac salep e Q+ agrac alep ,etnemavitcepser r ,sodasuac , E e + E ocirt le opmac serotev so ,A otnop on ,atsopser ed ahlof ad amargaid on ,etneserpeR r r .Q+ agrac a artnocne es edno otnop on mairc acalp an sadizudni savitagen sagrac sa euq ,m/V me ,0 ocirt le opmac od edadisnetni a enimreteD .acalp an sadizudni sagrac s adived ,Q+ agrac a erbos ega euq ,N me , a rof ad edadisnetni a enimreteD E E F )d )c )b )a .2 arugif an adatneserper o isop an adacoloc essevitse euq Q ed megami amu essof es omoc ,Q- agrac amu e Q+ agrac amu rop odareg opmac oa ,acalp ad amica o apse od etrap an sanepa ,ocitn di euq ocirt le opmac mu ecelebatse sagrac sassed otnujnoc O .1 arugif an omoc ,savitagen sagrac eic frepus asse erbos odnizudni ,arreT adagil ,arotudnoc acalp ednarg amu ed eic frepus ad amica m 50,0 = D arutla amu a tse ,C 01 x 5,1 = Q avitisop acirt le agrac moc ,arefse aneuqep amU 9- 80.Q .)solucl c so ratilicaf arap ,sodamixorpa marof amica serolav sO( )sona 01 x 7,0( sona ed se hlim 007 U od adiv-aieM )sona 01 x 2,4( sona ed se hlib 2,4 U od adiv-aieM .rargetnised es a aunitnoc assam aus ed etnatser o ;ergetnised es artsoma amu ed assam ad edatem a euq arap oir ssecen opmet ed olavretni o ovitaoidar otnemele mu ed adiv-aiem A A N 9 532 9 832 ETOD E ETO .arreT ad o amrof ad acop an artsoma amu me oin rU ed latot assam o aler me U ed assam me megatnecrop a emitsE )c .U ed gk 700,0 ejoh maratser lauq ad ritrap a ,arreT ad o amrof ad acop an ,U ed artsoma amu ed ,gk me assam a ,U od sadiv-saiem ed orem n o atnoc me odnavel ,emitsE )b .U ed gk 399,0 ejoh maratser lauq ad ritrap a ,arreT ad o amrof ad acop an ,U ed artsoma amu ed ,gk me assam a emitsE )a P 532 532 ,532M 532 532 832 ,832M 832 .seraelcun serotaer me o azilitu aus alep ,ednarg otium acig tartse aicn tropmi met e latot assam ad %7,0 a ednopserroc U o euq odom ed ,U ed gk 700,0 e U ed gk 399,0 h ,oin rU ed gk 000,1 ed artsoma amu me ,etnemlautA .setnerefid sadiv-saiem meussop euq j ,ejoh ed sad setnerefid se roporp me sodartnocne mare ,ossid m lA .oin rU otnemele omoc ritsixe ed odnaxied ,es -uorgetnised seled etrap ,opmet od ognol oa ,siop ,edaditnauq roiam me maitsixe U e U ovitaoidar oin rU ed sopot si so ,sona ed se hlib 2,4 ed acrec h odirroco odnet omoc adamitse ,arreT ad o amrof ad acop aN 532 532 832 832 532 70.Q .)arreT ad ocit ngam opmac o eredisnocseD( l i B = F ; R 2i = P ; V F = P A N ETOD m 51,0 m 02,0 01,0 gk 610,0 E ETO arutlA arugraL : m od se snemiD aicn tsiseR assaM :aripsE b a R M . m od sol p so ertne etnetsixe ,alset me , o c i t n g a m o p m a c O . aicn tsiser ed ,aripse a errocrep euq ,serepma me , acirt le etnerroc ad edadisnetni A .sttaw me ,aripse an adapissid aicn top laugi euq ,)aicn top( opmet ed edadinu rop edadivarg ed a rof alep odazilaer ohlabart O .etnatsnoc edadicolev a adeuq ed otnemivom ues on edadivarg es-odnopo , assam ed ,aripse a erbos ega euq ,N me , acit ngamortele a rof ad edadisnetni A B R i P M F )d )c )b )a :enimreted , m od sol p so ertne s/m 04,0 = V etnatsnoc edadicolev a a nacla aripse ad sodal sod mu euq me o autis a araP .alebat an sadatneserpa o tse m od e aripse ad sacits retcarac sA . m od sol p so ertne odairc ,latnoziroh e emrofinu ,ocit ngam opmac o ridem arap adasu o arugifnoc a atneserper arugif A . m od sol p so ertne odnassap revitse aripse ad odal esse otnauqne aditnam edadicolev assE .etnatsnoc V edadicolev amu odnignita animret aripse a euq amrof lat ed ,adeuq ed otnemivom ues a e po es euq acit ngamortele a rof amu areg aripse an adizudni acirt le etnerroc A .opmac ed sahnil sa etnemralucidneprep atroc )mu sanepa( siatnoziroh sodal sues ed mu ,iac aripse a otnauqne ,euq odom ed m od sol p so ertne edadivarg ad o a adanodnaba ralugnater aripse A .opmac essed s varta arotudnoc aripse ednarg amu ed otnemivom on es-aiesab m mu ed ocit ngam opmac o ramitse arap otnemidecorp mU E E 01.Q .savruc sa ra art arap sodasu sotnop so euqram ,socif rg sod o urtsnoc aN .siaedi omoc matropmoc es ortem repma o e ortem tlov O A N ETOD E ETO .A 2 ta 0 edsed airav etnerroc a odnauq ,ortem tlov olep adacidni U o snet ad o nuf me ortem repma olep adacidni etnerroc ad ocif rg o ,atsopser ed ahlof ad 3 ocif rG on ,aurtsnoc ,2 arugif ad otiucric o odnaredisnoC )c .V 21 ta 0 edsed odnairav U arap ,sianimret sues me adacilpa U o snet ad o nuf me R rotsiser on etnerroc ad ocif rg o ,atsopser ed ahlof ad 1 ocif rG on ,aurtsnoC )b .V 21 ta 0 edsed odnairav U arap ,sianimret sues ertne U o snet ad o nuf me ,adapm l an adapissid aicn top ad ocif rg o ,atsopser ed ahlof ad 2 ocif rG on ,aurtsnoC )a .2 arugif an odazitameuqse emrofnoc ,L adapm l a moc eir s me 0,6 aicn tsiser ed R rotsiser mu es-odnatnecserca ,odacifidom ,o tne , 1 arugif ad otiucric O .atsopser ed ahlof ad ,1 ocif rG on L avruc alep odatneserper emrofnoc ,V ortem tlov olep adidem o snet ad serolav setnerefid arap ,A ortem repma olep odacidni etnerroc ad rolav o odidem ioF .lev irav o snet ed rodareg mu atneserper G edno ,1 arugif an odazitameuqse otiucric od oiem rop aditbo iof ,siev motua me adasu a omoc ,L adapm l amu ed etnerroc e o snet ertne o aler A 90.Q

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