Tarea Semana 09 - Física I

 

‚Föo `c jf Seavcrsfjazfkaûe `c jf sfju`“ 

SEAWCT[A@F@ EFKAOEFJ LFQOT @C [FE LFTKO[ C[KSCJF @C C[PS@AO[ ICECTFJC[

^rodjclfs propucstos sodrc gucrzfs koescrvftavfs y cecriìf potcekafj   AEPCITFEPC[ ITS^O 3

Fpfzf Tflìrcz, Tcyef Wfjcraf (4>67>666) Koetrcrfs Frafs, @acio Fjcxfe`cr (4>69>>91) Gfjkoe Xfpftf, Kflajf Fjcxfe`rf Fjcxfe`rf (4>67>>3;)

Iûlcz Baeohosf, Lfrìf Gcrefe`f (4>69>>63) Iucrrf Eazflf, Iaeo [fjvftorc (4>69>>40) KST[O

Gìsakf A ^TOGC[OT

Iustfvo Kudf [upfetf Jalf, 43 `c `akacldrc `c 4>4>  

 

0. Sef pfrtìkujf pfrtìkujf `c lfsf l > mi sc jadcrf jadcrf `cs`c c cjj pueto

y sc `csjazf sodrc jf

pastf sae grakkaûe quc sc lu cstrf ce jf gaiurf^2.0. @ctcrlaec

f) jf rfpa`cz `c jf pfrtì pfrtìkujf kujf ce jos puetos

y ⓔ.

d) Cj trfdfh trfdfho o ecto aevcrta aevcrta`o `o por jf gucrzf irfvatfkaoefj irfvatfkaoefj f l c`a`f quc jf pfrtìkujf pfrtì kujf sc lucvc `c

f ⓔ . 

@ftos8 Wf < > l/s

Lfsf (l) < 3 mi f) Jf rfpa`cz `c jf pfrtìkujf ce jos puetos D y K

[c sfdc quc scf kufj scf jf trfycktoraf y cj kfræktcr `c jfs gucrzfs8 Y ecto   ecto < ∇M 

Ce cj pueto D8 Y ecto ecto < Gi.b

`oe`c

Gi < l.i

y

b < (3 - ;.4)

 

∇M

<

 () 

  ()  

Aiufjfe`o8     ()  < l (1.2>)(6.2) ()  

@cspchfe`o jf rfpa`cz ce D8

 )(;)

@cspchfe`o jf rfpa`cz ce K8

  > mi `c lfsf sc jadcrf `cs`c cj rcposo. Koe cj lo`cjo `c sastclf fasjf`o cetoekcs8 f) @ctcrlaec jf rfpa`cz `cj odhcto `c ;.>> mi husto kufe`o cj odhcto `c 3.>> mi io jpcf cj sucjo. d) Ceku cetrc jf fjturf fjturf læxalf f jf quc jjcif cj odhcto `c ;.>> mi.

@ftos8

 < 3.>> 3.>>    < ;. ;.>> >>   b> l f)   @ctcrlaec jf rfpa`cz `cj odhcto `c ;.>> mi husto kufe`o cj odhcto `c 3.>> mi iojpcf cj sucjo.

 

[ojukaûe8 

Ssfe`o jf koescrvfkaûe `c cecriìf pfrf cj sastclf `c jf Pacrrf y jos `os odhctos.

Cecriìf lckæeakf totfj8 Tckor`clos8 C> )()(0.>> ) < (;.>> )()(0.>> ) + (3 (3.> .>>> + ;. ;.>> >>) )   4  < ∘ 61. 6 1.7 < 0.0; 0.0;

   

d)   Fborf fpjakflos jf koescrvfkaûe koescrvfkaûe `c cecriìf pfrf pfrf cj sastclf `c ;.>> mi `c odhcto y jf tacrrf, `urfetc cj aetcrvfjo `c taclpo cetrc cj aestfetc ce quc jf kucr`f sc fgjohf y cj aestfetc ce quc cj o dhct dhcto o ` c ;.>> mi fjkfezf su posakaûe læs fjtf ce su kfì`f jadrc. [ojukaûe8

Tckor`clos8

M<

    

∇ < ∇ 

6 (;.>>)  < ∇ ∇ < ;.>>( >>())∇  4 ∇ y

< 6.>> l

 y læx læx < 0.>> l + ∇ y < 3.>> l

 

60. Se djoquc `c 4.>> mi sc sc uec f ue rcsortc koe koestfetc koestfetc `c gucrzf gucrzf 3>> E/l , kolo sc lucstrf ce jf gaiurf.

[c hfjf cj djoquc 3 .>> kl bfkaf jf `crckbf `cj cquajadrao cquajadrao y sc jadcrf `cs`c cj rcposo. Cekucetrc jf rfpa`cz quc tacec cj djoquc kufe`o pfsf f trfvás `cj cquajadrao sa8 f) Jf supcrgakac borazoetfj eo tacec grakkaûe d) Cj kocgakacetc `c grakkaûe cetrc cj djoqu c y jf supcrgakac cs >.;3> .

@ftos8 

< 4.   >     < >,;3> 

f)   [ae grakkaûe [ojukaûe8  Cecriìf cjæstakf  

 < > , porquc cstæ ce rcposo )    <        6

∔ 

 

 < 64 (3>> (3>>)( )(33 Ù 6> )  >  < (3>> (3>>)( )(33 Ù 6>∔)  >  4  < >,743  Cecriìf kaeátakf

 <      6 6  <       4 4 6 >,74 >,743 3 < 4    4 >,743 <   

 

>,916

 <    

d)   Koe grakkaûe cetrc cj djoquc y jf supcrgakac [ojukaûe8   [ojukaûe8

   ∇  <     6 

 

>,743 >,74 3  (>,;3>)( (>,;3>)(4)(1 4)(1,2>) ,2>)(>, (>,>3) >3) < 4   >  4 >,743  >,;1; <     >,424 <    >,3;6  <   

 

40. Sef pfrtìkujf pfrtìkujf sc lucvc f jo jfrio jfrio `c uef jìecf `o e`c jf cecr iìf po tcekafj ` c su sastclf sastc lf ` cpce`c `c su po sakaûe sakaûe , kolo sc lucstrf ce jf irægakf. Ce cj jìlatc jìlatc kufe`o

 fulcetf sae groetcrf, () tace`c f . f) A`cetagaquc kf`f posakaûe `c cquajadrao pfrf cstf pfrtìkujf. Ae`aquc sa kf`f uef cs ue pueto `c cquajadrao cstfdjc, aecstfdjc o ecutro. d) ¿Jf pfrtìkujf cstfræ fkotf` f sa jf cecriìf totfj `cj sastclf cstæ, ce csc aetcrvfjo? Fborf supoeif quc cj sastc sastclf lf tacec cecriìf `c . @ctcrlaec  @ctcrlaec  k) Cj aetcrvfjo `c posakaoecs `oe`c sc puc`c cekoetrfr jf pfrtìkujf. `) [u cecriìf kaeátakf læxalf. c) Jf udakfkaûe `oe`c tacec cecriìf kaeátakf læxalf. g) Jf cecriìf `c cejfkc ` cj sastclf, csto cs, jf cecriìf f`akaoefj quc tce` rìf quc `frsc f jf p frtì frtìkujf kujf pfrf lovcrjf f 

↔ ∕.

[c prokc`cræ f utajazfr vfjorcs fproxalf`os icolátrakflcetc f trfvás `c jos irægakos, yf quc jfs lc`a`fs `c jfs kuf`rìkujfs `c jos irægakos soe aesugakacetcs.

 

f) A`cetagaquc A`cetagaquc kf`f posakaûe `c cquajadrao pfrf cstf pfrtìkujf. pfrtìkujf. Ae` aqu c sa kf` f uef cs ue pueto `c cquajadrao cstfdjc, aecstfdjc o ecutro.

Jos puetos `c cquajadrao soe `ctcrlaef`os por jfs pfrtcs `oe`c jf irægakf tacec ue kolportflaceto borazoetfj. F`clæs, sc koesa`crf quc csc pueto `c cquajadrao cs cstfdjc kufe`o sc cekucetrf cetrc 4 vfjjcs, aecstfdjc kufe`o sc cekucetrf ce ue pako `c jf kurvf, y ecutrfj kufe`o tacec ue kolportflaceto koe tce`cekaf fsaetûtakf. Ce csc sceta`o8

  Ce jos puetos  < 6.3  y  < ;.4  cj cquajadrao cs cstfdjc (vcr`c).   Ce cj pueto  < 4.;  cj cquajadrao cs aecstfdjc (roho).   Ce jf satufkaûe `oe`c  ↔ ∕ jf pfrtìkujf tace`c fj cquajadrao ecutro (fzuj).



 

d) ¿Jf pfrtìkujf cstfræ fkotf` f sa jf cecriìf totfj `cj sastclf cstæ, ce csc aetcrvfjo?

@cetro `cj sastclf, sa jf cecriìf totfj cs  , cstf eo puc`c scr lceor fj lìealo

3,7  . . ) ea lfyor fj læxalo quc po`rìf vfjor lostrf`o ce cj irægako ( 3,7 rciastrfr (6  

↔ ∕).

 

^or jo tfeto, jf pfrtìkujf cstfræ fkotf`f sa

 .   ≠  ≠    k) Cj aetcrvfjo `c posakaoecs `oe`c sc puc`c cekoetrfr jf pfrtìkujf.

[a supoeclos quc jf cecriìf `cj sastclf cs ;  , su cecriìf potcekafj `cdc `cdc scr lceor o aiufj f cstf. ^or jo tfeto, cj tfeio `c posakaoecs `oe`c po`clos cekoetrfr f jf pfrtìkujf oskajf cetrc jos vfjorcs `cj chc   `oe`c jf kurvf tacec vfjorcs lceorcs o aiufjcs f ;  , jos kufjcs soe fproxalf`flcetc fproxalf`flcetc

.   ≠  ≠ .   

`) [u cecriìf kaeátakf læxalf.

Pceclos quc  +  <  . Ce cstc kfso, k fso, jf odtce`rclos 

 < ì. Koe jo kufj pjfetcflos jf ckufkaûe8 æ + ì <   æ <   ì 

< æ kufe`o

 

æ < ;. ;.>   (3. (3.77 )  æ < .   c) Jf udakfkaûe `oe`c tacec cecriìf kaeátakf læxalf.

Qf quc odtce`rclos 

udakfr < æ kufe`o  < ì , eckcsatflos udakfr

jf posakaûe `c jf pfrtìkujf `oe`c 

< ì , quc cs ce  < .     

g) Jf cecriìf `c cejfkc ` cj sastclf, csto cs, jf cecriìf f`akaoefj quc tce` rìf quc `frsc f jf p frtì frtìkujf kujf pfrf lovcrjf f

 ↔ ∕.

Qf quc jf cecriìf `cj sastclf cs ;  , y eckcsatflos trfsjf`fr trfsjf`fr jf pfrtìkujf `oe`c su cecriìf scrìf 6 . ^jfetcflos jf ckufkaûe `oe`c   cs cj trfdfho f`akaoefj eckcsfrao.

 ;  +  < 6    <  