58784635-ejercicios-fisica-resueltos

c c                                  

Views 146 Downloads 5 File size 387KB

Report DMCA / Copyright

DOWNLOAD FILE

Citation preview

c c                                

                         !                  "           p pppp   ppp

    p  

¦ pppp   ppp ¦



    p 

 p p p  p  p  p  p      p   p p p p p p  p   p   p  pp    p



  pppppp p   p

   pp    pp 



p



p p p  p

p





pp p  p  ppp pp p p   p pppp





 pppp



p

 p

 

 p



 

 

 #      "          #        $ %      

&      ' ( )$$# *     +! ,      "  $      $$-./ ,    

     "  $!  /  "     $0   ±  ppp   ppp p p pp pp p   p  !    p p  pp p   p p p p ' (  p "#$%&  )!   * p p   p p  p p  p  p p  p  p p p  p   p p  p p 

 p p!"p   p pp p "%+,- ' ( .  / p p # pp  p ppp p  pp  p   pp  p p ppp  p p "%+,-  "#$%&  p p $  pp p  ppp p p p pp  p p p  p p ' ( 0 ! p "#$%&  )   * p %pp   pp p p p p p p p   p      p  pp pp  p   pp pp p p 0 '   ( .   p "%+,p p  p p p p &pp p 1  2  2!  23!       $   1      ",    /  2  3          "  +$2#    "   $42 -    '      ",   0 - 

 /          0 -5 ,     /   1       0 p pppp' p  p   pp p '4  (  '5  (  6 . 27     '!4( #p   pppp  p p  p pp p p p 4    5   7 . 297    . 8    #p  ppp pppp p  &ppp p p p ±   p p pppp(  pp  p ' p p '4  (  !4 ! 2! : "  ) . 8   *  

     #               ;     "          

¦ p

HIK

 ^ hfB92 ] ?

p  p p   p p p p p p  p p   p   p p  p

p   p  p Lp  p    p "1p p p p   p  p Jp    p p p ' p+p pp' pp   pp

     



@

                /                  

        !           =                     6  "       -   1     /           /          %       #    0  p ±  ppp p &( p p p p

 HI[  p 

"

p)p   ppp p ppp p p



" Y p HI[

$  pp p p(   p p  ppppp   p 

 p p p p l

EF[



HI[ l Y  p " EF[

±  ppp    p ppp p &p p p J *    pp p+p   pp J

 ¦  HI[      p  ¦ lI[ 

l HI[ p "EF  [

p ' pppp pp p p ppp ppp J

±  p  pp

\p

\ p /pp    p ?

¦ lI[ 

l HI[ p "EF  [

1 AB`   1hfB`  a :@ `

          @      "  @ !          3         "  @  (/       #   * / ,        !     #   





±  pppp    p p

p¦M

¦pp   pp

¦

¦M

  ¦&    p 

¦&

& HIb p

  & HIb    p 

pp    p  p   pp LM

pLM

L pp   pp

L

 & p

m & p

m   p  EFb



*    pp ppp  p p. p  p   &  p   pp m  ¦& p m ¦&

EFb n

92 o

:@

p  @ q p @

              "   &         .  

(          "   /   "  e     #     - / ,   '  1             "         42> "  & /     #     0-    "  0  p ' ppp p   pp p ppp   pppp  ppp  ppp p pppp pp p p p p !5 HIK + p p)p    pp e ^ AB?reA::r@BB@eAhA > AB92 ] ! d  p p p   p p p p  p p  p  p  p p    p p p  ppp p p' p pp

p p)p    pp

,Q%,

h

"

s'!5  (  + p

,Q%, p 2?

s37



2e



     " "      "    B  -     "    "     "      0 # -  / ,      "           " ?  "       

 /  "            "  :  ±  p  ppp pp p p

P tttu

p ppp p p p



P vwp

ttttu

-  - xwp p p p pp  pppp p &pp pp p ttttu

tttuP 

ttttu

P vw - xwp

y p ttttu z : {w B |w p p p  p p    pp&  p p  ppp p pppp  p pp p   pp : ` hfB92 ] ^ B

     /                & % -  /     1

" '      6 0 p  ppp( ' pp p &( p   pp

 HIK  p 

l pp p &( p  pp

K

#  p

 }

4

&

p

l p

pp p p  p &( pp ~ p   p p  p

*    pppp p+p   p

l 

 HI¼  p 

HI¼

 p 

p p  pp
6(     8   (  '#    8   "            /     (       &  %  /          8      3 "      

  

¡CpAB>



D

E E

G

™HIK

P  p

™EFK  

pp' pp   pp ™

 p

  p EFK

±  ppp pp ppp  p p p p p …

Yp   p+pp!p pp   pp

mEFK4 p

IK 



 p mEFK

¡CpAB>

/  B 1     (  (" / /     /   #        (           #     (  &  ( (  ' š #     





  E

y

™

P  p

E

G

»+ Yp   p+p pp   pp

»+  

š ™

š P

 p

š P  p

 p

Y ppp' p ) p &pp p ' pp  p p P

4‰  …  N p 



7„š z  o q  C

*    p,p p"p    p

2

 / 8     (  '       3/     "   c       (     (      "   6(      /   =     /  "  





 E E

G

y

™HI[

P  p

™EF[  

 p

   p EF[

™

#p pp ppp p pp/p p p p p mHI[4 p

…

p

*    p+ppp!p pp   pp EF[ p



4‰  »  m

p

C :@92 ]   ^ 7„  p

`

             "  "   " 6      1  "        /    (               .# C6( 





 pp pp E

y

¢

™   o

P p



Cq z

pp pp E

y

¢

™  o

P p

  Cq z

/ 8/        " /      "  /   '   " 'B6(    (     =   "  c (   (  '      /  #   š    /                 ",     -/ , "   & # 1  B0



 E

y

»+ HI[ ™EF[

P  p

# p p pp pp' p 3ppp   ppp pp E

G

™HI[ »+ EF[   »+

pp   pp ™

šQ ™ p

  »+ EF[  4 p HI[

 p

p+pp!p    pp

šQ    p HI[ šQ EF[

»+

™

*    p"pp,p pp    p

±   p p ppp

  N p HI[ šQ EF[

EF[  šQ HI[ HI[ šQ EF[ …

p

4‰  …   / p 

¦I[5 p

p-pp5p    pp 2 

hfB` AB` š :@` ] ^Ž  „  :@`  š AB` C

rB

ppp  p &( pp ' p   ppp pp' p 3ppp   ppp p ppp p   pp E E

G

y

»+ HI[ ™EF[

P  p

™HI[  »+ EF[  

 p

p 4  pp  p   p  pp f

2

hfB` AB`  š :@`  ] ^Ž   „ :@` š AB` C

   8      7             (  '  /            8 !    (   @   8 6@ / (   @    

  8  / /                 





 p  E

D

G

E

™M HIb

™M EFb  

™M

p8p E E

D G

 p

   p EFb

 ™M HIb

  ˜  ™

Yp   p+ppp p!p    pp

Ib Ÿ

 p

˜4 p

 p

˜Ibp

   ChfBn

 c /  .   :D                     ;    C   .        6@  ( (  ' ,  .#C# #.  "  

pppppppppppppppppppppppp

p

p+9p E E

D

£HIK  »+M  »+

G

 £EFK  £EFK ™

E

D

™

p9p

G

»+M

»+

4£EFK p

  £HIK  »+M

E

 p

£EFK  ™M

™M

£EFKN p

š› ™M

š› ™

Yp   p-pp5p pp    p

£HIK šž

 p

4 p

 p

š› £EFK/ p

4š› £EFK5 p š› £EFKp

6 hfB> 

      1 (  '     #/ 8 #        6(  c / ,    /           ( 

(,       /     E (      "    1    /  "       1  / 





±  p p

   ¦ p 

…

p p pppp pp  p &pp p

E

y

¦

…EFb p

EFb  ™

P  p

p p ' pppp pp  p pp p pp™ p



…EFb4 p

*    ppp!p pp    pp

n 

EFb

 p 

 :@92 ] ^ 6

p  p   p

 /                     2      !      #   -5 , "      2/ 0





±  pp M ¦

   ¦ M    p  

 ppp  p  p  & pp  p p   pp ¦M  

 M  p

p 

2

C2    q  o 2 

%/   2 #  "     1            /       (  '6( c ( (  ' ,   /   2# šž %   1  ,  /   2  " %         





pM p E

D

E

  M HI[  »+ G

»+

p p

E

™  M EF[

š› ™

G

M  p

 p

š› M EF[ p

   

 4 p

Yp   pp+pp!pp pp

      M HI[  š› M EF[

p)p   pp 

   M HI[  š› M EF[   p M 

±  pp p  ppp  & pp

¤¥

Yp   p,p p



M p

  &

"N p

p    p

M  M 



& §¨  ¨¨¨©¨¨ ¨¨ª «¬

M "/ p

*    p"p p-p   pp «­

2 C?  2 AB`  šž 2 :@`  2 

   (   @       :9;!    /   2Fc /  "      2     !     $2 c (    ,  / #   2$      (   /   (   @  # "   4  p   pp  p p E p

E p p *    pp p+p p

 »+  HI/

D

™  EF/

G

»+ »+

 p

 p

®™ p

®EF/4 p

®EF/ HI/p p p p p)pp / p  p pp pp' p p p ¯° »+ "  )! . ± . '!5   (EF/* .  2! 3ž²  #p / p  p pp p:p p p ¯³ " ''! . ± . '!5    (EF/( ± . '!5    (EF/( .   #p / p  p pp p  p p p p p ¯¤´ "EF/ ± . )!5   * .  . EF/ ! dž²p *    p!p pp

ƒ! dž²

 p /             'E   

            /          F 6(   /         (  #    (  'c /  "           c   ( (  ' ,  / # 





±  p ¯&%+#Q

«µ%&%#•  p

p3 p p p

 pp 3p pp pp' ppp / p  p p p pp G

E

»+ p «µ%&%#•

™

™  EFb

š› ™

¯&%+#Q

š› EFb p »+ " p

 ] ±"  ^ '  "HIb(4 p 

*    pp+pp!p pp   ppp š› "EFb šž 

EFbp

p

  ±"  "HIbp 

2 CABn   ž?  C:@n

 ( 2F     "     . ( c . C  #C        / C /    !         2¶ 

p

pppppppppppppppp ±  pp 

p



¡¦

¦



   p 

s . )!5   * .  

3!  

#p / p  p pp pp p ppp  pp )pp   p p p  p ¯°

«µ



«· «¸

 )! ± . )!5   * . *  '! ±('N! (  

7! g²

 /                           (         ' "   (              #          (       /          #  (     G  ,           &    (  @         

     #   '   pp  

 



#p / p  p pp pp p ppp  pp )p & pp   p ¯°

®" 

«µ

«¸ «·p

    …p  2

¹'Cz  ºC?(»

ppp  ' pp(  pp  p   pp ¸

·+,Q&+%, p

'…  ®"( ?

  ±" p  2

'Cz  ºC?(  q  o ž

 ,              3 #   (         "       "           " /                ' 6(  %   /    ,          '   >

g#       "  1 p

 ±  p

6



   m  "  p 

m pppp E

 

y

P  p

ppp' p &( p p p  pp ' p ppp 

pp p  p …



p

… p

m  " 4 p

Yp   p+pp!p pp    pp m

m "  m  "p   ?



6 p 

/ F"        :2H      !      4c/      ,    :      % I   1  , !    1   ! (    , # (       /   ppp  p pp )p 0 p   pp «¸

   ' ±( . '5 ( 

¸  ¸¼

23²

ppp  p pp )p  p   pp «·

·  ·¼

' ±( )!5   * '(HI   

4  pp   pp  p pp p   pp ™

p p  p   ppp pp p p »+

®™

EFp

®EFp

ƒ6! ²

#p / p   p  p p  p p  p  p 

 p  p p p   p p  )p & pp   p ¯°

®  »+ 

®™



«µ

®"EF

«¸ «·p

«¸ «·p

N½ /! ½ ' ±( )!5   * '(EF 

®EF

! ƒ

!/ . ' ±( )!5   * EF

6¢p

p p p       "   "    #  "  /   7#  3@ c/   7      ( (  '            F/   7 "             , c   "    /     / #   1  , 





   p p(  ppp  p p p  p pp pp   p p  pp   p  p   pp ±"

«¾ «

   &  p «

p p p   p p p p   p p  p p   p   p  p (  p p   p p p pp   p   pp

P¤  &P¤

 

P¤  &P¤

p

P¤

P¤

P¤ « p

P¤ "P¤  p

  4 p  ˜    p  ˜

"P¤ p pp+p!p"pp,p    pp «

" m ˜" N p  ˜

' " m ˜"( / p  

*    p-p pp    p 

2

ž?'? p  ?(  o  q d  

ppp  pp )p 0 p   pp «¸ *    p5pp p;p   pp «­ 

        p  



ž?'? p  ?(  

%       ! !            (  '     '   # ( G6( /       (   F   &     .  /      "    @          #                         !   "       ,   / !#   '&    

   ±  ppp M cH¾cHHI\ H\FE¿"""H\À\FÁ HH\"HcHE¦"H¾ H"H\¿¾EF p  &  M   p p

 &   M  p

    &

p

p *    pp p    p

M

p p

   M    p  

M  M  &

p

& HIFHF\ E¿ÂIi IFHEFI¿HIHp

M

p



p)p   pp p

& p

ppp   pp  p   pp ¯°

p

¯°

p p *    p!pp"pp p+p

«µ 

«µ p

®"4 p

   ±L   &  p  

@  ºC? Y  ž

  / 8           "  "   =   

       #        "   #                      «h -     (      /             / 8  0 p

ppppppppppppppppppppppp

p

p.p p(  p p  p ppp pp   p pp p/p(