FENIKO KPITHPIO AEIOAOrHZHI TH OYZIKH KATEY0YNEHS T-AYKEIOY

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1 FENIKO KPITHPIO AEIOAOrHZHI TH OYZIKH KATEY0YNEHS T-AYKEIOY ONOMATEnnNYMO: HMEPOMHNIA:. ASIOAOFHZH: 1 0EMA oiuarri anavrnor] OE Kd0E \ua and TIC; napakoau EpwtnoEic; noaxanxifc smxoyifc. 1) "Evac; apixovikoc; TcxAavruTrjc; EicceAEi e^avavkao^evn ToXdvriuan. 'Orav n ouxvotnta TOU natpvei TIC; TIIIEC; f! = 5Hz KCXI f2 = lohz, TO JtAdroc; TH<; Ta\dvta)ari<; etvai TO nxdtoc; TaAdvrwanc;, OTOV n auxvotnta TOU SiEyEpTri ndpei THV TI^: A)2Hz B)4Hz y) 8Hz 6) 12Hz 2) Ta 6uo dkpa TOU qaeiccpopiayvntikou <j>dajiato<;,\j Bdan Ta \if\kt\; TOJV, Eivai: a) n iu)6ri<; xai q epuspii aiaivoboxia B) n UTTEpid)6nc; Kai n unepubpn aktivopoaia y) 01 aiccivec; X KOI 01 aicclvec; y 6) 01 OKTIVEC; y KOI TO pa6ioc )U)viKd Kuu.aTa EnlMEAEIA: TZEAAIOZ AHMHTPHZ 2EAi8a 1

2 3) ITO 6idypaLiLia SIVETOLTO oriyluotuno EVOC; EyKdpoiou apu.ovikou KULUXTOC; LIE nxdraq A nou 6ia6t6ETai OE ypaliliiko EXaoriico LIEOO. H LiEyiorn. anoaraon. TU>V an.h iu}v B Kai T elvai dmax=avlo. To KULurax; EIVOU a)x = 4A 3) X = 3A y)x = A 6)X = 2A -A -v 4) H apxikd akivritn 6mXn TpoxaXta TOU LIE Lidâ m, aicdv (; nou ouv6 ovrai LIE R = 2r KQI ponrj aspdveiaq I, ctpxi.? i va ; va oxiogaivei OE opiôvrio mn 6o uno THV EntSpaan ora9 pr (; opiôvuat; 6uvau.n<; F nou aokeitat OE autqv, LIEOW vrjiiatot; nou Lvain paau. VO OTOV EowTEpiKo Tq? 6LoKO, onuk; 4>aivETai OTO oxni-kx- floia npdtaan Eivai oworq; a) To e6a<f>o<; Eivai XEIO. B) H EniTdxuvan TOU KEVTPOU Lidâc; TQC; TpoxaXiaq EXEL i Tpo acm = y) To LIETPO TH<; Suvau-nq TO. oratikn<; Tpiprjc; Eivai LiiKpoTEpo ano F/2 6) Ta LiETpa TWV TaxuTnTcav TU>V OHLIEICJV A KUL B ouvseovrai LIE TH oxean. UB = 2 UA 5) Qrav OE Eva ypau.u.lko OLioyEVE(; EXOOTLKO LIEOO 6ia6i6 TaL EVO apltoviko u.nxavik6 Kuu.a, TOTE: a) n auxvotrita TOU KULIOTOC; EâpTdTai ano TO LIEOO 6Ld6oon<; B) TO ir KO(; TOU KULUXTOC; Eivai ave^dpthto an6 TO LIEOO 6id6oanc; y) q TaxuTr Ta 6id6oonc; TOU KULiaTot; Ka0opi?ETaL ano TO U.EOO StdSoanc; 6) n neplosoq TOU KULIOTOC; Ka6opl?ETai ano Tqv nriyn KOL TO LIEOO 6id6oan.<; EDIMEAEIA: TZEAAIOE AHMHTPHZ

3 6) noi <; ano TK; napakdtco npotdoeic; Eivai otootet; KOI noi <; Aav9aau. VE<;; A) "Eva KaT pyaau. vo 6iau.dvri (U.E noxxeq e6pe<;), nou nepipdxxerai ano aepa, Aau.noKond oro Enei6r X i HEydtAn Kpunu-n yiovia. B) H ponn aspdveiac; evoq OTEPEOU SEV Eâptdtai ano in 9eon TOU dôva nepiorpot))^ tou 0 To Sidypa^na Tqt; ouvdptnont; y = An^t2n(- - crta9) Eivai OTIVÎOTUTTO Kunatoq A) tva eykdpoio nnxaviko K"!10 âi asiivaio va 6La6l6ETai ora ctepia E) H rf\l orpocj>opiar \6yw THC; Kivnan<; tnc; yupco and Tov'HAio 20-OEMA 1) IE Eva isaviko KUK\O)HO nxektpikwv TaXavrwoECJV av Kdnota xpovikri OTiynn IOXUEI q = Q/3, onou q TO ariyniato nêiapiko c >optto KOL Q n pieyiatn TIJIH TOU nxeicrpikoii <j)optiou TOU nukvwtn, TOTE o Xoyoq V pyeia<; nêiocplkou n 6iou npoq THV EvepyEta u.ayvntlkou 7i 6Lou Eivai: a) 1/8 P) 1/3 y) 3 Na aiuo\oyna T THV andvrnoii oac; 2) Kara U-^KO(; u.la(; xopsfa M-HKOUt; L rr\<; onolac; TOT 6iio dkpa ELVOI akxdvqta OTEPEOJUEVCX, EXEI 6nu.ioupyn9et Eva ardai(io Kuu.a. ZTH X p8r EXOUV oxnm-at -0Te'- Tpei<; KoiAiEc;. H ouxvotirca KCU n Kuu.dTtov nou Snuioupynoav TO ordoiu-o Kupia Eivai fi KOI ux avrloroixa. Edv r\v nou Sniuoupynoctv TO a a) orn X p5n axnâttôvtai nevte KOiAi <; KQI E^L 6 ou.oi P) orn xop6r oxnm-atôvtaiteooepl<i KOLXIEC; KcunEVTE 6 au.oi y) n TaxuTHTa 6id6oon<; TCOV Kuu.dTiuv ytvetai u2 = 3u!/5 Na aaioxoynoete Trjv anavrnoq aa<; 3) Ano TH auv9 0r 5uo anxcbv apu.ovikcuv TaXavrcuaEWv nou yivovrai air\v I6ia 6i u9uvar KOI yupco ano THV i6ia 9Eor loopponiac;, U.E KOI X2 = V3Ao-nji(t*>it + n/2) (S.I.) npokunrei u.ia VEO an\ apuovikr) TaXdvrtoan U.E nadroc; Alt EHIMEAEIA: TZEMIOZ AHMHTPH2 ZeAiSa 3

4 Ano Tn. ouv9eor 6uo A.A.T nou yivovrai crcnv Una 6i u6uvan. KCU yupca ano TH.V I6ia 9 on. laopponiac;, X3 = A1-n.u-OJ1t KOI X4 = onou Wi, a>2 napanarioiet; yojviakec; TaxuTn.T c; nou TIC; auv6 i n OXEOTI: a)2 = ai! + n (S.I.) npokurttei u.ia i6i6u.opc )n nepio6ikn. Kivn.on IIE nadroc; A2. A) To nadtoc; A2 jietabdaaetai n pio6ixd U.E TO xpovo u. Taû TOJV TIU.OJV: a) 0 < A2 < 2A0 B) -2A0 < A2 5 2A0 y) 0^ A2 < 4A0 Na aitioaoynaete Tn.v andvrnon aat; B) To nadtoq A2 u.n5ev^6tai KdGE: a) Is B) 2s y) 4s Na aitioaoynaete Tqv anavrnan aac; 0EMA-30 ZTO EAEuSepa dkpa 6uo 6u.ouuv KOTOKOpUCtXJV l6avlkti)v eivai 6 u.eva 6uo ocau.ata U.E irii = m2 = m = 1kg. IE Ka6e ad)u.a undpx i AEnTi^ BeAova nou Eivai ae ena<$>f\e TQV Enujxivaa uypoii, onax; 4>aiv Tai OTO oxi* u.a. H anooraon Bf Eivai Bf=6m. t=0 Ta 6uo oa>nata apxôuv va ToAavrajvovrai U.E Eîawon y=anu.o)t. 'Orav TO u.erpo Tcav eivai u: = V3/2 m/sec, TO u.etpo Tqc; EniTdxuvar <; TOUC; Eivai ai = 5m/s2. Drav TO HETpo TH<; TaxuTr Ta<; TOJV OWHOTCUV eivai u2 = V2/2 m/s, TO U.ETPO TH<; a2 = 5V2 m/s2. A) Na BpeGel n oragepd TCUV EAaTnptoJV KOI TO nadtoc; Tqc; TaAdvra)on<;. B) Ta Kuu.aTa nou napdyovrai Eivai apu.ovii<d (ie nadtoc; A' = 0,005 m KOI 6ia6i6ovrai U.E TaxuTnja u = 10/n m/s. Na ypac >ouv 01 EÎOWOEIC; TCOV 6uo Kuu.dTOJV. EOIMEAEIA: TZEAAI02 AHMHTPH2

5 zoiwazi :viav3wma U<t>nd9XDiDx Alii 9UD idisxdsig nou UrlAiio Ui noxog blii blitldo^odio blii bliyojjdisil 9r10nd 01 (g~ pdo<j> Uimdu DiA Uo30 U< nd9xdidx AUI OUD idisxdsig nou UrlAuD UxiAodX Alii blii bd).prl nodiasx noi DiUinXoi AUi IDX noxog blii DiUinXoi UxDiAmA Alii (D :3i3oiAoyoun DA DtlliA 01 isopuo noi94>\ (j 'N 0 =d8)3l1da1 oid i3]f]dn)AA AD ' ISODUD D0 orllia 01 ' 9»og Uio ISAID^SAD bodgaiynx o bm0d>i no nodgaiynx noi bd^prl nodia3» noi burldo blii bliyo^disrl nor!0nd noi odisrl 01 (A i3aid0oiyo DA bidnx ioi3]yn>i DA bodgaiynx o nogsuius noiia9iido ID» nodgaiynx n^disrl bli (idi blixoido UiosysiAno noi Urlu UioiXpys Alii ({) j UrlDAng U 1D113XDD DA isndu nou T}=i lirlaiid UxiAodX Alii nodgaiynx noi Di3Ad3A3 UXIIU.AIX Alii (D (v :AnoiDiAoyoun DM 'DilliA 01 IDX b9xog U Ano)_iiDrlliXo nou ogsuius 010 boi30px IDAIS IDX v blii odxp ioi3xd3ig nou DAO^D 9d30Dio 9UD mdna b3 idi bidoox idi3< )3dKnd3u DA isdourl n)a3 ' uiot=1 boxurl IDX S^=ui D^prl 13X3 jv b9xog H 'boidrllia no())nd9xdidx Di30Uoj) Alii 3t1 isuoddooi IDX DiAoiido AOI srl 00 =<t> niaooa isiiidrllixo DIOUO U ' oxog 3D COADU i3a]d0oiyo DA bidmx idiaiynx souixaiic nou niuinxni AUi srl bodgaiynx o <j)a3 ' j litldafig U 1D113XOD DAisnDU Lug=s DrIliiDpig isoriadig 13X3 no<()d TJ=J UilAiio lixiaodx Ui -ogsupg oiia9>.ido OID i3aid0oiyo DA bidmx ioi3iynx DA DAIXS^ bodgaiynx o 319UO N g=d UrlDAng DiiA9).ido boidrllia noi odxp od30n3y3 OID srlnoxod o=j UrlAiiD UxiAOdX Ui -boiuaixd IDAIS bodgaiynx o pxixdy 'DilUA 0101x3 Url IDX b3dd(jd i3j}iyni srlnoxs DIOUO AUi 9UD mdnj = Ttu bd^pri bodgaiynx bliasaorlo bda3 IDISAIDCJ) DTlUXo 01^ lnx 30px DiA ' OAOdX 01 3r) UoUidpAno 3D v noisrluo noi boiuinxdi bui bisopiddddu b3xi(j)dda 10 AnoAiA DN 'AOipTlnx Ami buyo^rlnd bui ma9y ' OIUAIXD bnxsano IDAIS nou ' jg noi noi30dxoo3tl bui pi^sg ' oisrluo oindu 01 IDAIS jg boidtlurli norlr1pdan0n3 noi y oisrluo 01 (y boipyu oidiasrl srl idiaoamiadyoi IDX j IDX g Ami n^di3tl idiaoxoid?) nou jg boidrlurli notlrlpdan0n3 noi AmisrlUo Ami b9r!0idd o i303d{) DM (j

6 Seen Yi-a TtpoHT ( >opd. Aiv6Tai n ponn a6pdveia<; TOU KuAivSpou ax; npoe; dôva nou SiepxeTai and TO Kevrpo [iaâc, TOU lcm = -m^r2, n ponn aspdveiaq THC; pdpsou ax; npoq dôva nou nepvdei ano TO Kevrpo u.d?;a(; Tnq lcm = ML2 Kai n enitdxuvon Tnq 3apUTHTa<; g=10 m/s2. KOTO Tnv otaaavn Tnq SieuGuvanq Ki KuXtv6pou 6ev u.etapdxxetai n KivnTiKq TOU AIAPKEIA EEETAIHl: 3 QPEZ: KAAH EnlTYXIA! EDIMEAEIA: TZEAAIOZ AHMHTPH2 EsAiSa 6

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