Laboratorio N°3 FISICA 3-2021

 

SABXC_[BEIE AIKBDAI@ EC BANCABC_BI HIKS@UIE EC BANCABC_ÆI IFOBCAUI@

‐C[WCKU_ÛFCU_D EC FI[I[‖ UC_KC_ BAHD_FC EC @IOD_IUD_BD EC@ KS_[D HB[BKI BBB ‛ HB59;H   IWI\I KDIYSB_I, MI_CA FIOC@   ABKD@I[ H@D_C[, LD[CFB_ LC_[DA   RI RI@É @ÉA A KI KIFW FWD[ D[,, IA IAE_ E_Â[ Â[ FD FDB[ B[Â[ Â[

?7927;>>J ?792??97K ?79: ?79:75 7582 82N N

EDKCAUC< F[k. [jcb`i Fi`pirtbei

@bfi, Wcrü ?7?9

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds

ÆAEBKC ÆAEBKC...........................................................................................................................? 9.

?.

DOLC DOLCUBXD[ UBXD[.......... ..................... ..................... .................... ..................... ..................... .................... ..................... ..................... .................... ............... .....; ; 9.9.

DOLCU DOLCUBXD BXD NCAC NCAC_I@. _I@............ ..................... .................... .................... ..................... ..................... .................... ...................... ............; ;

9.?.

DOLCU DOLCUBXD[ BXD[ C[WC C[WCKÆHBK KÆHBKD[..... D[................ ..................... .................... ..................... ..................... .................... ...................; .........;

KI@ KI@KS@ KS@D[ D[ R _C[S _C[S@UIE @UIED[...... D[................. ..................... .................... .................... ..................... .................................5 ......................5 ?.9.

IWI\ IWI\I I KDIYS KDIYSB_I, B_I, MI_C MI_CA A FIOC FIOC@....... @................. .................... ..................... ..................... .................... ..............5 ....5

?.?.. ?.?

ABK ABKD@I D@I[ [ H@D H@D_C _C[, [, LD[CF LD[CFB_ B_ LC_[ LC_[DA. DA..... ........ ........ ........ ........ ........ ........... .............. ............... ............... .........5 ..5

?.;.. ?.;

RI@ RI@IA IA KIF KIFWD[ WD[,, IA IAE_ E_C[ C[ FDB FDB[C [C[.. [...... ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........ ........... ...........5 ....5

;.

KDA KDAK@S K@S[BDAC [BDAC[......... [................... ..................... ..................... .................... ..................... ..................... .................... ............................ .................. 5

5.

IAC IACZD[... ZD[............. .................... ..................... ..................... .................... ..................... ..................... .................... ..................... ..................... ................. .......5 5

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds

9. 9.9.

DOLCUBXD[

DOLCUBXD NCAC_I@



Kdad Kd adkc kcrr y ca catc tcae aecr cr `i cxbs cxbstc tcak akbi bi ec ua kifp kifpd d c`âk c`âktr trbk bkd d ecat ecatrd rd ec ua



cspcktrûfctrd ec fisi. Kdadkcr `i hucrzi ec @drcatz y c` usd quc sc ei ecatrd ec` cxpcrbfcatd

9.? .?..

DOLCUBXD[ C C[ [WCKÆHBKD[



Catcaecr quc `ds kifpds finaâtbkds y c`âktrbkd bah`uyca ca `i triycktdrbi ec uai pirtæku`i.



Dosc Do scrv rvir ir c` kifo kifobd bd quc quc sc ei ec ec`` rieb riebd d i fc fceb ebei ei qu quc c viræ viræia ia kb kbcr crtd tdss piréfctrds.



Echba Ec hbabr br c` kdf kdfpd pdrti rtifb fbcat catd d y `ds hca hcaûfc ûfcad adss quc sc prc prcsca scatia tia sdo sdorc rc `is `is pirtæku`is i `d `irnd ec su triycktdrbi, ca c` cspcktrûfctrd ec fisis c`âktrbkd.



Kdfpirir `ds eitds dotcabeds ca c` sbfu`ieds kda `ds fdec`ds p`iatcieds ca tcdræi piri isæ rcvbsir su vi`becz. ?.

?. ?.99.

KI@KS@D[ R _C[S@UIED[

IW IWI\ I\I IK KDI DIYS YSB_ B_I, I, MI MI_C _CA AF FIO IOC C@

Wirtc 9< cspcktrûfctrd ec fisis c`âktrbkd 9. Eie Eied d quc c` ki kifpd fpd c` c`âktrb âktrbkd kd cs uab uabhdrfc hdrfc y c` vd vd`til `tilc c ca `i p`i p`iki ki bzqu bzqubcre bcrei i cs ?777 X y ca `i p`iki ecrckji cs 7 X, cxp`bquc kûfd sioc quc c` vd`tilc ca c` fcebd ec `is p`ikis (edaec cstéa `is pirtæku`is) cs 9777 X. [iocfds quc, kuiaed ua kifpd c`âktrbkd cs uabhdrfc sc kufp`c<

∭

∈ X 6X o∟X i6∟  C − e r ⃞

Eitds< X i 6? mX ,X o 67 

⃞

∮ x i

o

∭

X o ∟ X i6∟  C b − ( ex b + ey  l )   Q

Q

  Q

i o

X o ∟ X i6∟ C

∭ ex 6 x ∟ x i

o

i

7 mX 

∟? mX 6∟ C (∟?.2; ∟(∟;.83 ) )

6∟;.83 b , xo 6∟?.2; b  Q

Q

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds ;

 C 6 ?.>: − 97

 A  K 

 Ijdri quc yi tcacfds c` vi`dr ec C, rccfp`iz rccfp`izifds ifds ca `i sbnubcatc hûrfu`i piri dotcacr c` X ca fcebd ec `is p`ikis< X kcatrd ∟X i6∟ C ( x kcatrd ∟ x i) X kcatrd ∟? mX 6∟ ?.>: − 97

;

(∟;.?2 ∟(∟;.83 ) )

X kcatrd 69 mX 

?. ´K ´Kuéa uéati ti cacr cacrnæi næi pdtc pdtcakb akbi` i` tbcac tbcac kie kiei i pirtæ pirtæku` ku`i i kirni kirniei ei sb su kirn kirni i cs 948 x 97-92 K4 (Kiei uad ackcsbti ua c`cktrûa piri vd`vcr i scr acutri`) Kdasbecriaed Kdasbecri aed `i hucrzi nrivbtitdrbi ecsprckbio`c<  C 6qX 6( 9.8 Þ 97

∟ 92

∟98

 C 69.8 Þ 97

) ( 9777 )

L 

Wiri tdeds `ds kisds c` kifpd c`âktrbkd (C) cs bnui`, yi quc c` C sd`d ecpcaecré ec `i kirni y c` pdtcakbi`. ;. Ec Ecspu spuâs âs ec qu quc c kie kiei i pir pirtæku tæku`i `i ioi ioiaed aedai ai `i rcn rcnbû bûa a kda kda ua kifp kifpd d c`âkt c`âktrbk rbkd d kdastiatc y catri ca `i rcnbûa sba ua kifpd c`âktrbkd, ´kué` cs c` vi`dr ec `i cacrnæi pdtcakbi`4 Sai vcz quc `i pirtæku`i ioiaedai `i rcnbûa kda ua kifpd c`âktrbkd y catri i uai rcnbûa sba kifpd c`âktrbkd, `i cacrnæi pdtcakbi` cs kcrd yi quc ad cxbstc ua pdtcakbi` c`âktrbkd. 5. ´Kué ´Kué`` cs c` vvi`dr i`dr ec ``i i ca cacrnæi crnæi kbaâ kbaâtbki4 tbki4 Ji``ircfdss c` vi`dr ec `i cacrnæi kbaâtbki kda `i sbnubcatc hûrfu`i< Ji``ircfd 9

?

 Cm 6 f v O ?

Wirtæku`i 9  Cm 6(

9 ?

Wirtæku`i ?

∟?8 )( :.>9 − 97 5)? 5.?; − 97 ∟ 98

 Cm 69.87 − 97

L 

 Cm 6(

9 ?

∟?8 )( 8.7: − 97 5)? :.88 − 97 ∟ 98

 Cm 6 9.87 − 97

Wirtæku`i ;  Cm 6(  Cm 6

9 ?

∟?3 9.?> − 97 )( 3.79 − 97 5 )?

∟ 98 L  9.87 − 97

L 

Wirtæku`i 5  Cm 6(

9 ?

∟?3 )( 5.;3 − 975 )? 9.8: − 97 ∟ 98

 Cm 69.87 − 97

L 

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds

3. Eie Eied d quc `is pirtæk pirtæku`is u`is ad tbc tbcaca aca `is fbs fbsfis fis vc` vc`dkbe dkbeiec iecs, s, k`isbhb k`isbhbquc quc `is fis fisis is ec `is pirtæku`is ec fcads fisbvi i fés fisbvi. @i vc`dkbeie vi i ecpcaecr ec` tbcfpd quc tirei `i pirtæku`i ca ``cnir i` ectcktdr y `i ebstiakbi quc vbilia `is pirtæku`is i trivâs ec `i rcnbûa `borc ec kifpd, pdr `d tiatd, `is fisis ec `i fcads fisbvi i `i fés fisbvi scréa< f 9 0 f?0 f; 0 f5 ∟?8 5.?? − 97

0 :.87 − 97∟ 0 9.?> − 97∟ 0 9.8: − 97∟ ?8

?3

?3

8. I pirtb pirtbrr ec `ds ei eitds tds ec `i ti tio`i, o`i, e ectcrf ctcrfbac bac `i vvc`dk c`dkbeie beie ec kkiei iei pi pirtæku rtæku`i. `i. Uio`i 9; :,39>; :,39>; :,39>;

piri `is kuitrd pirtæku`is

t (³s) 7.2: 9.57 9.>7 9.28

Becatbhbkifds quc kiei pirtæku`i ecsirrd``i fdvbfbcatd rcktb`æacd uabhdrfc pdr  `d quc piri ji``ir `i vc`dkbeie ec kiei pirtæku`i usifds `i sbnubcatc hûrfu`i< Xc`dkbeie 6

 Ebstiakbi Ubcfpd

Wirtæku`i 9 v6

Wirtæku`i ?

∟? :.39>; Þ 97 ∟8 7.2: Þ 97

v 6:.>7 Þ 97

5

∟? :.39>; Þ 97 v6 ∟8 9.57 Þ 97

v 68.7: Þ 97

5

Wirtæku`i ;

Wirtæku`i 5

∟? :.39>; Þ 97 v6 ∟8 9.>7 Þ 97

∟? :.39>; Þ 97 v6 ∟8 9.28 Þ 97

v 63.79 Þ 975

v 65.;3 Þ 97 5

>. I pirtb pirtbrr ec su ké`k ké`ku`d u`d ec ca cacrnæi crnæi kb kbaâtbk aâtbki, i, caku cakucatrc catrc ``i i fisi ec ki kiei ei pirt pirtæku`i æku`i ca mb`dnrifds. Wirtæku`i 9

Wirtæku`i ?

9 ∟ 98 5 ? L 6( f )( :.>7 − 97 ) 9.87 − 97 ? ∟?8 f 6 5.?? − 97  Mn

9 ∟ 98 5 ? L 6( f )( 8.7: − 97 ) 9.87 − 97 ? ∟?8 f 6:.88 − 97  Mn

Wirtæku`i ;

Wirtæku`i 5

9 ∟ 98 5 ? L 6( f )( 3.79 − 97 ) 9.87 − 97 ? ∟ ?3 f 69.?: − 97  Mn

9 ∟ 98 5 ? L 6( f )( 5.;3 − 97 ) 9.87 − 97 ? ∟?3 f69.82 − 97  Mn

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds

:. ´kué`

cs

c`

pipc`

ec`

kifpd

c`âktrbkd4

Kuiaed c` kifpd c`âktrbkd iktüi ca uai pirtæku`i, csti qucei ca chcktd ec `i hucrzi kdascrvitbvi quc `c orbaei c` kifpd c`âktrbkd (hucrzi c`âktrbki), chcktd ec c``d `i pirtæku`i iequbcrc vc`dkbeie y pdr c``d sc ei c` fdvbfbcatd ec pirtæku`is. Wirtc ?< cspcktrûfctrd ec fisis c`âktrbkd y finaâtbkd 9. I pir pirtbtbrr ec `i cku ckuik ikbû bûa a 8 y kda `ds ei eitd tdss ec `i tio tio`i `i ? y `ds vi` vi`dr drcs cs ec `is fisis ec `i tio`i ;, ki`ku`c c` vi`dr ec` riebd ec `i triycktdrbi Uio`i ? ?;.: fv Ckuikbûa :

_iebd Ucûrbkd (f) 3

7.?

2.23

97

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds 7.; 7.5 7.3

9;.2 9:.> ?;.:

93 ?7 ?3

 Wiri f9 , % crrdr 6´ 5.>: ∟3∪ ´  x 977 977 %6 5.5 5.5 % ´ 3

977 7 % 6 7.:% ´  Wiri f ? , % crrdr 6´ 2.23∟97 ∪  97 ´  x 97

 Wiri f; , % crrdr6´ 9;.2∟93 ∪   ´  x 977 977 % 6 >.; >.; % ´ 93

 Wiri f 5 , % crrdr 6´ 9:.> ∟?7 ∪   ´  x 977% 68.3% ´ ?7

 Wiri f3 , % crrdr6´ ?;.:∟?3 ∪   ´  x 977 977 % 6 5.: 5.: % ´ ?3

;. ´Wdr qu quâ â ca uai rcnbû rcnbûa a ec` cspc cspcktrûf ktrûfctrd ctrd cxb cxbstca stca sbf sbfu`té u`téacif acifcatc catc ua kif kifpd pd c`âktrbkd y finaâtbkd4 ´pdr quâ ad fiatcacr üabkifcatc ua kifpd c`âktrbkd4 Wdrquc ca c` cspcktrûfctrd tbcac p`ikis ca edaec c` kifpd c`âktrbkd kufp`c c` pipc` ec ikc`crir `ds bdacs, y iecfés ca cstc jiy bfifcs quc ncacria kifpds finaâtbkds quc ecsvæia `i ebrckkbûa ec `ds bdacs `dnriaed isæ uai scpirikbûa ca rc`ikbûa i su kirni/fisi. [b sd`d fiatuvbârifds c` kifpd c`âktrbkd ad juobcri uai ecsvbikbûa ecsvbikbûa ec bdacs i` kdatrirbd cstds scnubræia kda su rckdrrbed. ?. ?.?. ?.

AB ABKD KD@I @I[ [ H@ H@D_ D_C[ C[,, LD LD[C [CFB FB_ _ LC LC_[ _[DA DA

Wirtc 9< cspcktrûfctrd ec fisis c`âktrbkd 9. Eied quc c` kifpd c`âktrbkd c css uabhdrfc y c` vd`ti vd`tilc lc ca `i p`iki bz bzqubcrei qubcrei cs ?777 X y ca `i p`iki ecrckji cs 7 X, cxp`bquc kûfd sioc quc c` vd`tilc ca c` fcebd ec `is p`ikis (edaec cstéa `is pirtæku`is) cs 9777 X. [c sioc quc c` kifpd c`âktrbkd cs uabhdrfc, iecfés c` vd`tilc ca `i p`iki bzqubcrei cs ?mX y ca `i p`iki ecrckji cs 7 X, pdr c``d c` pdtcakbi` c`âktrb c`âktrbkd kd ca c` puatd fcebd cs 9777 X. ?. ´Kuéati cacrnæi pdtcakbi` tbcac kiei pirtæku`i kirniei sb su kirni cs  9,8 x 97-92 K4 (Kiei uad ackcsbti ua c`cktrûa piri vd`vcr i scr acutri`) [iobcaed quc<

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds

 

 C 6 fn j + qX   = kdasbecrir quc ad jioré cacrnæi pdtcakbi`, ca csc scatbed<

 C 6qX 6( 9.8 Þ 97

∟ 92

∟98

 C 69.8 Þ 97

) ( 9777 )

L 

;. Ecsp Ecspuâs uâs ec quc kiei pirtæku pirtæku`i `i ioiae ioiaedai dai `i rcnbû rcnbûa a kda ua kifp kifpd d c`âktrb c`âktrbkd kd kdastiatc y catri ca `i rcnbûa sba ua kifpd c`âktrbkd, ´kué` cs c` vi`dr ec `i cacrnæi pdtcakbi`4 Kdfd `i prcfbsi rc`iti quc catri i `i rcnbûa sba ua kifpd c`âktrbkd ca cstc scatbed sc rc`ikbûa `i cacrnæi pdtcakbi` c`âktrbki i` ad jiocr kifpd c`âktrbkd, iecfés tifpdkd jioræi cacrnæi pdtcakbi nrivbtitdrbi.

5. ´Kué` cs c` vi`dr ec `i cacrnæi kbaâtbki4

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds

3.

Eied

tbcaca

`is

quc

`is

fbsfis

pirtæku`is ad vc`dkbeiecs,

k`isbhbquc `is fisis ec

`is pirtæku`is

ec fcads fisbvi i

fés fisbvi.

 

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds

8. I` fce fcebr br c` tbcfp tbcfpd d quc tirei `i pirtæku pirtæku`i `i ca ``cn ``cnir ir i` ectc ectcktdr ktdr y `i ebstia ebstiakbi kbi quc vbilia `is pirtæku`is i trivâs ec `i rcnbûa `borc ec kifpd, ectcrfbac `i vc`dkbeie ec kiei pirtæku`i.

Uio`i 99

5.2: x 97;

5

:.3?

9.2>

5.;? x 97;

>. I pirtbr ec su ké`ku`d ec cacrnæi kbaâtbki, cakucatrc `i fisi ec kiei pirtæku`i ca mb`dnrifds

9

q.X 6  f v? ?

WI_UÆKS@I 9< 9

9.55 x 97 -92 6  f x (:.?;Þ 97 5 ´ ? ?

f6 5.?5: x97-?8 Mn WI_UÆKS@I ?<

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds 9

9.55 x 97 -92 6 f x (8.?7Þ 97 5 ´? ?

f6 >.5>3 x97-?8 Mn

WI_UÆKS@I ;< 9

9.55 x 97 -92 6  f x (5.>3Þ 97 5)? ?

f6 9?.>:5 x97-?8 Mn

WI_UÆKS@I 5< 9

9.55 x 97 -92 6  f x (5.72Þ 97 5)? ?

f6 9>.98> x97-?8 Mn :.

´kué`

cs

c`

pipc`

ec`

kifpd

c`âktrbkd4

Kuiaed c` kifpd c`âktrbkd iktüi ca uai pirtæku`i, csti qucei ca chcktd ec `i hucrzi kdascrvitbvi quc `c orbaei c` kifpd c`âktrbkd (hucrzi c`âktrbki), chcktd ec c``d `i pirtæku`i iequbcrc vc`dkbeie vc`dkbeie y pdr c``d sc ei c` fdvbfbcatd ec pirtæku`is.

Wirtc ?< cspcktrûfctrd ec fisis c`âktrbkd y finaâtbkd 9.  I pirtbr ec `i ckuikbûa ckuikbûa 8 y kda `ds eitds e ec c `i tio`i ? y `ds vi`drcs vi`drcs ec `is fisis ec `i tio`i ;, ki`ku`c c` vi`dr ec` riebd ec `i triycktdrbi Uio`i ? x 97∟?8

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds ; 5

:,3? :,3?

9.>9 9.2>

∟? 3 9.?2 x 97 ∟?3 9.>9 x 97

5.2:Þ 97 5 5.;?Þ 97 5

Ji``ircfds c` vi`dr ec `i cacrnæi kbaâtbki kda `i sbnubcatc hûrfu`i< 9

 C

m 

?

6 ? f vO

Wirtæku`i 9 9

∟? 8

 Cm 6( . 5.;; − 97 ?

 Cm 6

Wirtæku`i ? 9

5 ?

)( :.87 Þ 97 )

?

 Cm 69.87 − 97

Wirtæku`i ; 9

∟ ?3

 Cm 6

? ∟ 98 L  9.87 − 97

5 ?

)( 8.75 Þ 97 )

∟98

∟98 L  9.87 − 97

 Cm 6( . 9.?2 − 97

∟ ?8

 Cm 6( . :.>> − 97

L 

Wirtæku`i 5 5 ?

)( 5.2: Þ 97 )

 Cm 6(

 Cm 6

9

∟?3 )( 5.;? Þ 975 )? .9 . >9 − 97

? ∟ 98 L  9.87 − 97

Cacrnæi Kbaâtbki piri `is pirtæku`is si`c iprdxbfieifcatc iprdxbfieifcatc 9.8 x 97-98. 3. Eied quc `is pirtæku`is ad tbcaca `is fbsfis vc`dkbeiecs, k`isbhbquc `is fisis ec `is pirtæku`is ec fcads fisbvi i fés fisbvi. @is fisis ec `is pirtæku`is ec fcads fisbvi i fés fisbvi sc k`isbhbkia ec `i sbnubcatc fiacri<

 Wirtbku`i 9 0 Wirtbku`i ? 0 Wirtbku`i ; 0 Wirtbku`i 5

f 9 0 f?0 f; 0 f 5

∟ ?8 5.;; − 97 0 :.>> − 97∟?8 0 9.?2 − 97∟?30 9.>9 − 97∟?3

 

SABXC_[BEIE SABXC_[B EIE AI AIKB KBDA DAI@ I@ EC B A N C A B C _ÆI Hiku`tie ec Bancabcræi Ifobcati` Ecpirtifcatd Ikieâfbkd ec Kbcakbis y Cstuebds Cspckæhbkds Oésbkds

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