4
2. 3, 1. OI,l3I,IXATECT tljro e 6paHoB npoqec laxaxo c€ oAsrBa? SpaHoB npoq€c e Hofa qecrrqRrre oA enacrL4qHara cpeArHa ocrthr14paar oHory paMHoreHHara nonox6a, a €AHaHa Apyfa caMo.a nperF(yBaar 4e0opMdlvjdra, oAHo(Ho eHepr/jara pa ul8opo-. Kora Bo MarepujanHara cpeAxHa, {e ce Haj4e h3Bop Ha ocqrnaqrr, Meiy u3Bopor u cecrueNxre Ha cpeAxHara ce jaByBaar Ha 3aeMHo AejcrBo. foA Hr4BFo BnhjaHue cpeArHara ce npucu]l'eHl Aa ocqrnhpaar co opeHopeHq4ja eaHaRBa Ha OpekopeNqvjara Ha n38opor Ha 6paHor. HajnpBo (e roqHar aa ocqunxpaar oHre 'recrmr', Haj6n'13yAo x3Bopor,a noAane'reHrre (eAoqHar no da3a oA nperxoAHrrel,1 1138opor Ha6paHor. Xov ce rpvre xapakrepxcrnktr Ha 6paHo AeonH,paj 6paHoEa AonxrHa: Kapaxrep crxHf Ha 6paHor ce: OpexOpeHqrja t, neproATl, a$nruryAara A. EpaHoBa AorxrHa € HajMaroro pacrojaH'1e Bo HacoHa Ha uupetbe Ha6paHor,Me.y ABe eecr4qu oA enarlxqHa cpeA4Ha Horr ocqrrxpaar Bo 0a3a v ce 6enex, col. lt, = vT AeOxHnpaj 6p3rHa Ha 6paH BorBpAa cpeAxHa: t E e lyHroBMoayn Fa enacr qHocr, Hapaxrepucr-1lHa BenhqtrHa 3a cBojcrBa Ha qBpcrure r€na; 4. Ll.lro € laHreH3nrer Ha 6paH? E I,lHreH3rr€r Ha 6paH e eHepfuja uro ce npeHecysa Bo eArHuqa BpeMe,Nr3 eAuHrlqa nrourruNa, Ha ,'| : - nospur.lHa nocraBeHa HopMarHo Fa npas€qor Ha urxperse Ha6paHor. ,t 5. KaRo rrac, XejreHc-0peHenoBsor nphHqrn? xajreHc - OpeHenoB nprHqvnr c€Hoja roqxa Bo npocropor Ao Hoja Aonpeno 6paNy8abero (ceRoja roqka Ha 6paHoBror OpoHr) e r33op Ha eneMeFrapeH ceHyFAapeH coepeH 6paH, a HrepoepeHqrjara Ha ceRyHAapHure 6paHoB, ro onpeAenyBa 6paHyBarhero Bo Hoja ll Aa 6 no ro!ka Bo r(oja 6paHorcracyBa Bo cneAH!4or MoMeHr. 6p3xHaraHa urpehe HarpaHcoepsa,eH6paH Hm jaxero: 6. Lllro ce crycyBa co aronor Ha 3paxor Ha npe{puyBa}be xora 6paHor oAr.r oA onrl1'iHh noperxa Bo onrr'{x, norycra cpearHa? nper6aBx co qprex: np'4 npeM H 04 onrnqHl,1 nop€rka Bo onrrqkr norycra cpeAuFa, 3paHor ce npekpuyBa,1 atoror oAr4 7. O6iacH, rorarHa peorexcrja r Haqpraj qprex: npu npeMxHHa cBerrocHr4or 6paH oa norycra Bo onrrrx noperHa cpeAuHa, co 3foreMyBaBe Ha YnaAH'4or aron, Bo eaeH MoMeHr cBerrvHara (e rolHe aa nu3ra Ha caMara roBpur,rHa Ha BoAara- Toa 3Ha,r,1 Aexa aronor Ha npexpuyBa|be e 90". Toj ynaAeH aron ce HapeHyBa ryaHuqeH aron Ha loT3nHa peoneHcrja agr., cBernrHara naia co nofoneM aro, oa |paHrqHrorrojseie Hece npexpuyBa, ryHy roranHo ce peoreKr"pa. 8. 3ouro ce B,Raar,,croj{u 6paaoB""? finecronorox{6ara Ha ja3n HyBa co reKor Ha speMero, rre He ce ABuxar no Aon)RriFara Ha koHeqor, 14 3aroa BaHBure 6paHoBr., ce Bl,1Haar crojHr 6paHoBx. 9. ocHoaHu xapaBrepncrHHla Ha3Byxr 3By'rHxre 6paHoBr.4 ce: shcuHa, 6oja Ha roHor 14 laHreH3vreror- 10. AeorHrpaj roH:38yHor npo 3BeAeH oA r13Bop Hoju3BeAyBa xapMoHL,rckr ocq naq ceBhkaqucrroH/xnucaMoroH 11. XoMoreHo jaxe,Ma Maca oA 0.300 ks.'1 AorxrHa oA 6 Merp,. Jaxero € 3arcrHarocorer co MacaoA 2 ks. Aa ce onpeA€rx rLL = o,300 % e=6,* Utrer: l- lt= .rt 3 F'2 9'EC . i:,,19,CN rc -- l J:- r[,I- .--'.-.-.- I rq c.N r er -\i -1=L:-- ' -\ c]osr.qi,-r-' '.) L}' 49t8 tl!/5 ,, Ltl. *'T 3,s , , - t-dY!-ila 6la 30 Jr- _ C,C5 r2iLr"r-

Физика 1

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Page 1: Физика 1

2.

3,

1.

OI,l3I,IXATECT

tljro e 6paHoB npoqec la xaxo c€ oAsrBa?SpaHoB npoq€c e Hofa qecrrqRrre oA enacrL4qHara cpeArHa ocrthr14paar oHory paMHoreHHara nonox6a, a €AHa Ha ApyfacaMo.a nperF(yBaar 4e0opMdlvjdra, oAHo(Ho eHepr/ jara pa ul8opo-.Kora Bo MarepujanHara cpeAxHa, {e ce Haj4e h3Bop Ha ocqrnaqrr, Meiy u3Bopor u cecrueNxre Ha cpeAxHara ce jaByBaar

Ha 3aeMHo AejcrBo. foA Hr4BFo BnhjaHue cpeArHara ce npucu]l'eHl Aa ocqrnhpaar co

opeHopeHq4ja eaHaRBa Ha OpekopeNqvjara Ha n38opor Ha 6paHor. HajnpBo (e roqHar aa ocqunxpaar oHre ' recrmr ' ,Haj6n'13yAo x3Bopor, a noAane'reHrre (eAoqHar no da3a oA nperxoAHrrel,1 1138opor Ha 6paHor.

Xov ce rpvre xapakrepxcrnktr Ha 6paHo AeonH,paj 6paHoEa AonxrHa:Kapaxrep crxHf Ha 6paHor ce: OpexOpeHqrja t, neproATl, a$nruryAara A.EpaHoBa AorxrHa € HajMaroro pacrojaH'1e Bo HacoHa Ha uupetbe Ha 6paHor, Me.y ABe eecr4qu oA enarlxqHa cpeA4Ha Horr

ocqrrxpaar Bo 0a3a v ce 6enex, col. lt, = vT

AeOxHnpaj 6p3rHa Ha 6paH BorBpAa cpeAxHa:

t E e lyHroB Moayn Fa enacr qHocr, Hapaxrepucr-1lHa BenhqtrHa 3a cBojcrBa Ha qBpcrure r€na;

4. Ll.lro € laHreH3nrer Ha 6paH? EI,lHreH3rr€r Ha 6paH e eHepfuja uro ce npeHecysa Bo eArHuqa BpeMe, Nr3 eAuHrlqa nrourruNa, Ha ,'| : -nospur.lHa nocraBeHa HopMarHo Fa npas€qor Ha urxperse Ha 6paHor. ,t

5. KaRo rrac, XejreHc-0peHenoBsor nphHqrn?xajreHc - OpeHenoB nprHqvnr c€Hoja roqxa Bo npocropor Ao Hoja Aonpeno 6paNy8abero (ceRoja roqka Ha 6paHoBror

OpoHr) e r33op Ha eneMeFrapeH ceHyFAapeH coepeH 6paH, a HrepoepeHqrjara Ha ceRyHAapHure 6paHoB, ro onpeAenyBa6paHyBarhero Bo Hoja ll Aa 6 no ro!ka Bo r(oja 6paHor cracyBa Bo cneAH!4or MoMeHr.

6p3xHara Ha urpehe Ha rpaHcoepsa,eH 6paH Hm jaxero:

6. Lllro ce crycyBa co aronor Ha 3paxor Ha npe{puyBa}be xora 6paHor oAr.r oA onrl1'iHh noperxa Boonrr'{x, norycra cpearHa? nper6aBx co qprex:np'4 npeM H 04 onrnqHl,1 nop€rka Bo onrrqkr norycra cpeAuFa, 3paHor ce npekpuyBa ,1 atoror oAr4

7. O6iacH, rorarHa peorexcrja r Haqpraj qprex:npu npeMxH Ha cBerrocHr4or 6paH oa norycra Bo onrrrx noperHa cpeAuHa, co 3foreMyBaBeHa YnaAH'4or aron, Bo eaeH MoMeHr cBerrvHara (e rolHe aa nu3ra Ha caMara roBpur,rHa HaBoAara- Toa 3Ha,r,1 Aexa aronor Ha npexpuyBa|be e 90". Toj ynaAeH aron ce HapeHyBa ryaHuqeHaron Ha loT3nHa peoneHcrja agr., cBernrHara naia co nofoneM aro, oa|paHrqHrorroj seie He ce npexpuyBa, ryHy roranHo ce peoreKr"pa.

8. 3ouro ce B,Raar,,croj{u 6paaoB""?finecronorox{6ara Ha ja3n HyBa co reKor Ha speMero, rre He ce ABuxar no Aon)RriFara Ha koHeqor, 14

3aroa BaHBure 6paHoBr., ce Bl,1Haar crojHr 6paHoBx.

9. ocHoaHu xapaBrepncrHHla Ha 3Byxr 3By'rHxre 6paHoBr.4 ce: shcuHa, 6oja Ha roHor 14 laHreH3vreror-

10. AeorHrpaj roH:38yHor npo 3BeAeH oA r13Bop Hoju3BeAyBa xapMoHL,rckr ocq naq ceBhkaqucrroH/xnucaMoroH

11. XoMoreHo jaxe,Ma Maca oA 0.300 ks.'1 AorxrHa oA 6 Merp,. Jaxero € 3arcrHaro corer co Maca oA 2 ks. Aa ce onpeA€rx

rLL = o, 300 %

e=6,*Utrer: l-

lt= .rt 3F'2 9 'EC

. i : , ,19,CN

rc -- l J:-r [ , I -

. - - ' . - . - . -I rq c.N

r er -\i -1=L:--' -\ c]os r.qi,-r-'' . )

L}' 49t8 tl!/5

, , Lt l .*'T

3,s

, , - t-dY!-ila

6la30 Jr- _ C,C5 r2iLr"r-

Page 2: Физика 1

12. HaAcraxreHa nroqa co rHAe(cHa npeKpuyBabe n=1.55ce Haoia soAa co ,HA€K€ Ha npeKpuyBab€ oAn:1.33. CBerrrHa

naia oA crpaHa Ha craKroro Bp3 rpaHn{Ha floBpurvHa, craKro - BoAa. noA Hoi aro, rpe6a Aa naAH€ Ha o6aa.paHrqHa

noBpr!vHa 3a rorarHo Aa ce peoreKfipa?

Slr) dgrn1

n2

1,33-=0.85806=59"

Konxasa rpe6a Aa 6rAE o ^an

Ha 3arerHysa$e Ha xxqa Ha ABere crpaH, nprqBpcreHa, axo raa e so36yAeHa co

er€KrpoMrrHerHa srryuxa oA 100 Hz, 3a Aa ce 406r€ eAeH MeB. Xxqara € HanpaBeHa co rycrvHa oA 7 C/clrl', co

Hanpeq€H rpecex oa 1mmu, co aorxrHa oa 1m.?

-lr-a a- s +e rs e \21Jaar.e g

14. Ulro erpaHcoep3areH 6paH? t!eMarmrpaj qprex:TpaHcB€p3arHl1 c€ 6paHoBrre KaAe qecrrqH re oA MareptrjanHara cpeAuNa ocq nrpaar HopManHo Ha HacoHara Ha LlrperheHa 6paHor.

ls. AeonH,paj 6p3,Ha Ha 6paH Bo r€,rHocr:

I - B e koed/uuFHr Hr BonvMeH(ko urpatbe Ha reqHrre cpe4rH/:

/ .6 c e rvcrr la ra coealxara.

"=.J_\p

17,

Llro ce cryqyBa co aroror Ha 3pakor Ha npe(puyEarheao onrrqk|,l nopefta cpeArHa? npercraBn co qprex:npx npeMuH oA onrriLrRa norycra Bo onrrqkr noperHa3paRoroah oa HopManara.

{ora 6paHor oA, oA onrxqKx norycra

cpeariHa, aroror Ha npeRplryBathe Ha

18.

19.

. . r ' I

A€ot,H',paj laHre$,rer Ha 3By'(:

r xHreH3rr€r larx ja.rrHa Ha lBy{Huor 6paH ,, l" ce aeo"Hnpa rcro RaKo ',

uHreH3xreror Ha cekoi Apyr 6paH

t ' t : . Toa e eHeptr ja, ,E" Ha 3ByleH 6paH xoja ce npeHecyBa Bo eArHr4Ll3 BpeMe t Hr3 eAuHrqa nonurrHa s HaI : - ; noBpLhHa nocrdBeHa ropManHo Ha u pe'be rd 6pahor.

J1

tllro e npar Ha 'ryjHocr?MvH,MarH,,ror rHreF3frer Ha qyjHocr e npar Ha qyjHocr, npuMepF1000Hz uMa / mn:1o] ' :W/m'z.

OnpeAerr ja 6p3rHara Ha 6paHorcnopeA noAaroqne: T= 0.1s., l t= 3cm.T= 0.1s l=3cm \= 9.7

tr 3cmV = : = :--:- = 30cm/s=0,3 m/s

I U.1S

20. HaA craxreHa nroqa co ,HAexc Ha npexpu.ryBarb€ n=1.55 ce Haoia soaa co |aHAeKc Ha npeHpuy6al6e oA n=1.33. CBerrnxanaia oA crpaHa Ha BoAara sp3 rpaHrcHa noBpurca, BoAa - craKro. noA Koj aron rpe6a Aa naAHe Ha oBaa rpaHrcHanospurrHa 3a ioranHo Aa c€ peor€r{rrpa?

, i " [41\L\ l -<1ql 1: t"= = - 0,358Ob' q3"

1,5 5Sl!Ld-q. =\-. '{'55 - /(o'

. iL ^,55

Page 3: Физика 1

" 21. korHasa rpe6a 4a 6rAe crrara xa 3arerxysarbe Ha xrqa Ha Asete 6paH, nprqBpcr€Ha, aKo raa e eo36yAeHa co

erekrpoMarHerHa Bvryuka oA 100 Hr, 3a Aa ce ao5re eaeH MeB. )l(rqara e HanpaBeHa co rYcrvHa oa 3 8/cm3, co

Hanp€qeH npeceK oA 1mm2, coAorxrHa oA2m.?

22. u.tro e aoxftrryArxan€H 6paH? tleMarr3rpaj qprex:/loHrrryArHarH, 6paHosv ce oHue Raj kox qecrxqrre oA cpeArHaT3 ocr4rnrpaar Bo HacoKa 3o Roja ce !urp 6paHo'

23. A€4rHrpaj 6p3yHa Ha 6paH Bo rac:

l t j1l ' ^\P

RT' f i f

p e rycrhHa Ha racot p e npxrrcoH;ye noacoHoBa HoHcraHra; ReyHuBeFanHa racHa koHrlaHraiTe a nconyrH a reM neparyp a; M e MonapHa Maca Ha racol

24. O6jacH, peorexc,ja Ha 6paH u np€rcraEn co qprex:Kora HeHoj 6paH *e naAHe Ha Hexoja noBp!.r'4Ha roj oA Hero AenyMHo ce peonekrrpa.

3aBhcHo xaKBa e noBplu Hara/ Aan, e frarRa unri MHory 3aKpuBeHa, roj |ie ce p€oneKrrpaHacoqeHo urr4 AuOy3Ho. AHo €e pa6orf 3a ABe xoMoreHu cpeAuHu oAsoeHr co paMHa

rcrHrqHa noBpLrrH, u aHo Ha Hed rdAHe pdvei 6pah, ro- AeayMHo He ce 016 eAroror uro ro npaB, 3paHor Ha ynaAHvor 6paH 11 HopManara Ha rpaHnrHara noBprxrHa ceHapeRyBa ynaAeH aron o. no peoneRchjara Bo xcrara cp€ArHa, 3paxor Ha ped,rercupaxror6paH 3aoaia arcn I koj e eAHaxoB Ha ynaaHuor aron. roj ce Bhka aron Ha pe6neHc'aja.d=P

25. Xo,opeKopeHqfi ce yrrpa3By'r, ,Hopa3syx y 3By,{H, 6paHoBr?$yqHrre 6paHoEr oA 16 Hz Ao 20.000 Hz x rxe ce MexaH ,rHla 6paHo8h. 3Byqrre noA 16 Hz ce ,Hopa3syK, a HaA 20000 Hz ce

Lllro € ropHa rpaHyqa Ha qyjHocr?

MaRcrManHno HreH3xreruro fo qycr8y8aMe e rpaH,qa Ha 6onBa, tlnv rcpHa rpaHrqa Ha cyjtsocr.

KorHaBa € 6paHoBara Aor){rHa alto 6p3[Hara e 7m/s. aT= 4s.?

ts' Tvtls i\ = is "-i

T=L" y=1ur l f t Lg = 28 t t

28. HaA Macn€Ha noBprllvHa co ,HAekc Ha npekpuysalbe n=1.75 c€ Haoia BoAa co l,HAeKc Ha npeKpuysarb€ oA n=1.33

CBerrrHa naia oA.-rpaHa Ha craxrolo sp3 rpaHrqHa noBprlrHa, Macno - Eoga. noA xoj aro, rpe6a Aa flaAHe Ha oBaarpaHeeHa noBpuir.rHa 3arorarHo Aa ce peorexrypa?

ir.rrJSe'f .ffi .e,yG':ago 5r-ruczgz tr'-'1Js =1a"

Page 4: Физика 1

l . /Y' 29. PacroiaHrero Meiy ja3r"r€ Ha croeH 6paH co3AaAeH co 3ByqHa sr{ryum Bo so3Ayx rcHecyBa 40cm. KorxaBa €

opexopeHqsjara Ha srryuKara al{o ce 3HaeAexa 6FxHara Ha $yRor e v= 340 m/s.?

L= lrO c-u*u = 5ho u-r-/5 = 34 ooo cr_lt/s

. .L-?

L=! =) I = L '2 . 40 [ =3o cr-u-o

I lc Zl ' ' .nnrtJ - -" - r:#= 42542

l6u