Informe (4) 2da Ley de Newton

UNIVERSIDAD MAYOR DE SAN ANDRES FACULTAD DE INGENIERIA CURSO BASICO MATERIA

LABORATORIO DE FISICA 100 SIGLA

LAB FIS.-100 EXPERIMENTO

SEGUNDA LEY DE NEWTON INFORME DE LABORA LA BORATORIO TORIO No.

4 DATOS PERSONALES

GESTION

INDICE DE CONTENIDO SEGUNDA LEY DE NEWTON.............................................................................1 1.

Objetiv! Objetiv!...... ............ ............ ............. ............. ............ ............ ............ ............. ............. ............ .................... ............................1 ..............1

1.1

Objeti Objetiv v "e#e$% "e#e$%&.. &..... ...... ...... ...... ....... ....... ...... ...... ...... ...... ...... ...... ........ .......... ......... ......... ......... ......... .......... ......... ......1 ..1

1.'

Objeti Objetiv! v! e!(e)* e!(e)*+) +)!... !...... ...... ...... ...... ....... ....... ...... ...... ...... ...... ....... ......... ......... ......... ......... ......... .......... ......... .....1 .1

'

,!ti+)%)i ,!ti+)%)i#..... #............ ............. ............ ............ ............ ............. ............. ............ ............ ............ ........................ .........................1 .......1

/

M%$) M%$) te$i).... te$i)........... ............. ............ ............ ............ ............. ............. ............ ............ ............ ............. ............. ............ ........... .....1 1 /.1

Se"# Se"#% % &e e Ne2t#.. Ne2t#..... ....... ....... ...... ...... ...... ...... ...... ...... ...... ...... ....... ....... ........ ......... ......... .......... ......... .....1 .1

/.'

M%3i#% M%3i#% e At2... At2......... ............ ............. ............. ............ ............ ............ ............. ............. ............ ............ .........' ...'

4

MATER MA TERIAL IALES ES UTILI UTILIADO ADOS... S...... ...... ....... ....... ...... ...... ...... ...... ...... ...... ...... ....... ........ ......... ......... ......... .......... ......... ......./ .../

5

6ROCED 6ROCEDIMI IMIENTO ENTO REALI REALIADO ADO EN EN EL LABO LABOR RATORIO.. TORIO....... .......... ......... ......... ........... ........../ ..../

;

5.1

Se"# Se"#% % &e &e e Ne2t# Ne2t# 7 8%!% 8%!% )#!t% )#!t%#te #te.... ....... ....... ......... .......... .......... ......... ......... ......../ .../

5.'

Se"# Se"#% % &e e Ne2t Ne2t# # 7 9e$ 9e$:% :% )#! )#!t%# t%#te. te.... ...... ...... ...... ....... ....... ....... ........ ......... .........4 ....4

5./

M%3i#% M%3i#% e At2... At2......... ............ ............. ............. ............ ............ ............ ............. ............. ............ ............ .........4 ...4

TRA TRATAMIENTO AMIENTO DE DA DATOS... TOS......... ............. ............. ............ ............ ............ ............. ............. ............ ............... .............4 ....4 ;.1

Se"# Se"#% % &e &e e Ne2t# Ne2t# 7 8%!% 8%!% )#!t% )#!t%#te #te... ...... ....... ......... ......... ......... .......... ......... .........4 .....4

;.'

Se"# Se"#% % &e e Ne2t Ne2t# # 7 9e$ 9e$:% :% )#! )#!t%# t%#te. te.... ...... ...... ...... ....... ....... ....... ........ ......... .........; ....;

;./

M%3i# M%3i#% % e At2. At2.... ...... ...... ...... ...... ....... ....... ...... ...... ...... ....... ......... ......... ......... .......... ......... ......... ......... .........< .....<

=

CUESTIONAR CUESTIONARIO.... IO.......... ............ ............ ............ ............. ............. ............ ............ ............ ................ ..........................1 ................1/ /

>

CONCLUSION CONCLUSIONES.... ES.......... ............. ............. ............ ............ ............ ............. ............. ............ ...................... ........................14 ........14

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RECOMEND RECOMENDACIO ACIONES... NES.......... ............. ............ ............ ............ ............. ............. ............ ............ ............ ............. ............15 .....15

10 ANE?OS.... ANE?OS.......... ............ ............ ............. ............. ............ ............ ............ ............. ............. ............ ..................... ........................1; .........1;

INDICE DE FIGURAS .........................................................................................................' .........................................................................................................' Re&%)i# e@(e$i8e#t%& F9%.........................................................5  Re&%)i# e@(e$i8e#t%& %9M.........................................................>  Re&%)i# e@(e$i8e#t%& V9t........................................................10  Re&%)i# e@(e$i8e#t%& V9t........................................................1'

 INDICE DE TABLAS  T%b&% 1 j% e %t!.................................................................... ...4 A)e&e$%)i# - Fe$:%............................................................................5  C&)&! %i)i#%&e! E@)e&................................................................5  T%b&% ' j% e %t!...................................................................; M%!% -A)e&e$%)i#................................................................................; C&)&! %i)i#%&e! E@)e&.................................................................= M%!%-1 -A)e&e$%)i#..............................................................................=  C&)&! %i)i#%&e! E@)e&................................................................>  T%b&% / j% e %t!.................................................................... ...<  C&)&! %i)i#%&e! E@)e&...............................................................<  T%b&% 4 j% e %t!.......................................................... .........11  C&)&! %i)i#%&e! E@)e&.............................................................11

INFORME DE LABORATORIO No. 4 SEGUNDA LEY DE NEWTON 1.

Objetivo

1.1

Objetivo !e"e#

%$•

1.& • • •

Ve$i+)%$ &% !e"#% &e e #e2t#. Objetivo e'e()*(o

C8($b%$ &% $e&%)i# e#t$e &% 9e$:%  &% %)e&e$%)i# C8($b%$ &% $e&%)i# e#t$e &% %)e&e$%)i#  8%!%. Ve$i+)%$ &% e@($e!i# e &% %)e&e$%)i# e #% 8%3i#% e At2 bte#i% !e"# &% !e"#% &e e Ne2t#.

& +,ti*($(i-" E& e!ti e@(e$i8e#t%& e &% !e"#% &e e Ne2t# !e & $e%&i:% (%$% ve$i+)%$ e& )8($t%8ie#t e i)! 8vi8ie#t! t%& )8 #! i#i)% e& 9#%8e#t te$i). L! 8vi8ie#t! $e"i! % &% !e"#% &e e Ne2t# !# 8 )8#e! e# &% $e%&i% e# &% 3e vivi8!H % t$%v! e& e!ti e e!t!  )# &%! 9$8&%! 8%te8ti)%! e)i%! (e8! e!)$ibi$ &! 8vi8ie#t! e 8)! bjet! !jet! % e!ti!. C%% e@(e$i8e#t $e%&i:% e# e& &%b$%t$i e 9*!i)% 100 )#&&ev%$% % ti&i:%$ i9e$e#te! i#!t$8e#t! e 8ei)i#H ($ & t%#t e! #e)e!%$i )#)e$ &% 8%#i(&%)i# )$$e)t% e e!t! i#!t$8e#t!.

 M$#(o te-#i(o .1

Se!,"/$ %e0 /e Neto".

L% !e"#% &e e Ne2t# e!t%b&e)e 3e !e # )e$( e 8%!% J8K e!t% !8eti % &% %))i# e #% 9e$:% e 8& JFKH e!te %3ie$e #% %)e&e$%)i# 3e tie#e &% 8i!8% i$e))i#  !e#ti 3e &% 9e$:%  ! 8&H J%KH e! t%& 3e 6"i#%  1

 F =ma

1

E# &% +"$% 1H !e 8e!t$% # %$$e"& 3e (e$8ite e& e!ti e@(e$i8e#t%& e &% !e"#% &e e Ne2t#. E& ($t% (e!%!H e 8%!% J8'KH e!t #i %& e!&i:%$H e 8%!% J81KH ($ # i& i#e@te#!ib&e 3e (%!% ($ &% (&e%. Se %!8e 3e !# e!($e)i%b&e! &%! 8%!%! e& i&  e &% (&e%H %!* )8 e& $:%8ie#t e# e& )%$$i& e %i$e  e# &% (&e%. Si e& !i!te8% !e &ibe$%H e!te !e %)e&e$%H &% (&e% "i$%  !! $%! b!t$e# e# e& %: i#9$%$$j e &% 9t (e$t% e# 9$8% !)e!iv% )# e!tH &% )8(t%$% )# &% 3e t$%b%j% &% 9t (e$t% )%&)&% &% %)e&e$%)i# &i#e%&H J%K e& !i!te8%.

L% 9e$:% 3e %)e&e$% e& !i!te8% e! e& (e! e& ($t% (e!%! e! e)i$H  F =m2 g

'

 M =m 1+ m2

/

 Y &% 8%!% %)e&e$%% e!

Le"H !e"# &% !e"#% &e e Ne2t#H (%$% e& %$$e"& e &% +"$% 1H &% $e&%)i# e#t$e &% 9e$:%  &% %)e&e$%)i# e!  F = Ma 4  Y &% $e&%)i# e#t$e &% 8%!%  &% %)e&e$%)i# e! −1

a = F M 

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M$2,i"$

/e

E# &% +"$% ' !e tie#e # #% 8%3i#% e At2 8%!%!H 81  8'H #i%! i#e@te#!ib&e  e 8%!% ($ ! (&e%! e 8%!%

5 Atoo/

%$$e"& ($%)ti) e )#!titi% ($ ! ($ # i& e!($e)i%b&e 3e (%!%  $:%8ie#t 6"i#%  '

e!($e)i%b&e. Si 8'81H 8' !e 8eve %)i% %b%j  81 %)i% %$$ib% )# #% %)e&e$%)i# %H 3eH !e"# &% !e"#% &e e Ne2t#H !e$ i"%& % &% 9e$:% #et% 3e b$% !b$e e& !i!te8% ivii% e#t$e &% 8%!% %)e&e$%% e! e)i$

a=

m 2 g −m 1 g m1 + m2

=

m 2− m 1 m1 + m2

g

;

C# e& !i!te8% e &% +"$% ' e# e& 8vi8ie#tH e &! $%! e &% (&e% e$e)% i#te$$8(e# e& %: i#9$%$$j e &% 9t (e$t% e# 9$8% !)e!iv% )# e!tH &% )8(t%$% ete$8i#% &% ve&)i% &i#e%& e& !i!te8% (%$% i9e$e#te! i#!t%#te! e tie8(H (e$ t8%# )8 tie8( )e$ e& i#!t%#te e# 3e !e ($)e &% ($i8e$% b!t$))i# e& %: i#9$%$$j e#t#)e!H e!% ve&)i% )$$e!(#e$ % v =v 0 + at 

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4 MATERIALES UTILI3ADOS  i&  6$t% (e!%!  6&e%!  De!&i:%$  C%$$i&   T$#i&&! e !($te  %: i#9$%$$j  Ft (e$t%  C%j% %8$ti"%$%  6e!%!  Re"&%  B%&%#:%  A$$e"&! e &%! +"$% 1  '

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PROCEDIMIENTO LABORATORIO

REALI3ADO

EN

EL

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.

      

M$2,i"$ /e Atoo/ Se 8#t e& %$$e"& e &% +"$% '. C# 81 i"%& % %($@i8%%8e#te /00P"Q  8' % %($@i8%%8e#te /=0P"Q. Se %b$i e& %$)iv ATWOOD. Se !jet e& !i!te8% e 8%#e$% 3e &% b%!e e 8' 3ee %($@i8%%8e#te % '0P)8Q e& 9# e &% )%j% %8$ti"%$% Se %)tiv e& bt# t8%$ %t! e &% b%$$% e e$$%8ie#t%!  !e !&t e& !i!te8% Se t8 &! %t! )$$e!(#ie#te! (%$% &% t%b&% / e &% j% e %t!. Se )%8bi 8' % # v%&$ %($@i8% e /<0P"Q

6"i#%  4

  Y !e &&e# e 9$8% !i8i&%$ &% t%b&% 4 e &% j% e %t!.

9 TRATAMIENTO DE DATOS 9.1 •

Se!,"/$ %e0 /e Neto" 5 6$$ (o"t$"te E# b%!e % &% T%b&% 1 e &% j% e D%t!H )# &! ($8ei! e %  &% e)%)i# ' H e&%b$%$ #% t%b&% %-F. 8ei%#te # %#&i!i! e $e"$e!i# )# i#te$!e))i# #&%H ete$8i#%$ &% $e&%)i# e@(e$i8e#t%& F9%  ibj%$&% j#t )# &! (#t! e@(e$i8e#t%&e!.

 T%b&% 1 j% e %t!

Fe#te E&%b$%)i# e& e@(e$i8e#t e# &%b$%t$i Uti&i:%# E@)e& (%$% &! %t! e &% t%b&% %-F. A)e&e$%)i# - Fe$:%

Fe#te E&%b$%)i# ($(i% C&)&! %i)i#%&e! E@)e&

6"i#%  5

Fe#te E&%b$%)i# ($(i% ENTONCES &% $e&%)i# e@(e$i8e#t%&  F =f  ( a )  F =0.2751 a

)# JFK e# PNQ  J%K e# P8!'Q

Re%$(i-" e:'e#i6e"t$% F; 7 <$= 0.1500 0.1000

F >N@

9@  0.'>@

0.0500 0.0000 0.1000

0.'000

0./000

0.4000

0.5000

$>6?&@

Re&%)i# e@(e$i8e#t%& F9% •

Dete$8i#%$ e& i#te$v%& e )#+%#:% e )#+%#:% e& <>

MH

% # #ive& e

C# %% e &! )&)&! e &% t%b&% / E& i#te$v%& e )#+%#:% !e$  M =0.2751 ± 0.001 [ kg ]

9.&

Se!,"/$ %e0 /e Neto" 5 7,e#8$ (o"t$"te.

6"i#%  ;

•

E# b%!e % &% T%b&% ' e &% j% e D%t!H )# &% e)%)i# /  &! ($8ei! e % H e&%b$%$ #% t%b&% M-%. Mei%#te # %#&i!i! e $e"$e!i# (te#)i%&H ete$8i#%$ e& i#te$v%& e )#+%#:% e& e@(#e#te e &% $e&%)i# e@(e$i8e#t%& %9M % # #ive& e )#+%#:% e& <>. T%b&% ' j% e %t!

Fe#te E&%b$%)i# e& e@(e$i8e#t e# &%b$%t$i M%!% -A)e&e$%)i#

Fe#te E&%b$%)i# ($(i%

C&)&! %i)i#%&e! E@)e&

6"i#%  =

Fe#te E&%b$%)i# ($(i% ENTONCES  e& i#te$v%& e )#+%#:% e& e@(#e#te &% $e&%)i#

e@(e$i8e#t%& a =f  ( M ) n =−1,1 ± 0.4

•

 T$%b%j%# )# &! (%$e! e v%&$e! M-1H% e# #e %#&i!i! &i#e%& )# i#te$!e))i# #&%H ete$8i#%$ &% $e&%)i# e@(e$i8e#t%& %9M-1 H  ibj%$ &% )$$e!(#ie#te $e&%)i# %9M H j#t % !! (#t! e@(e$i8e#t%&e!. M%!%-1 -A)e&e$%)i#

Fe#te E&%b$%)i# ($(i%

6"i#%  >

C&)&! %i)i#%&e! E@)e&

Fe#te E&%b$%)i# ($(i% −1 ENTONCES &% $e&%)i# e@(e$i8e#t%& a =f  ( M  ) −1

a =0.1190 M 

)# J%K e# P8!'Q  JM-1K e# P1"Q

Re%$(i-" e:'e#i6e"t$% $; 7 000 0.;000

$ >6?&@

9@  0.11 @-1.0>

0.4000 0.'000 0.0000 0.1000

0.'000

0./000

0.4000

M>!@

 Re&%)i# e@(e$i8e#t%& %9M

•

Dete$8i#%$ e& i#te$v%& e )#+%#:% e FH % # #ive& e )#+%#:% e& <>

C# %% e &! )&)&! e &% t%b&% > E& i#te$v%& e )#+%#:% !e$ 6"i#%  <

 F =0.1190 ± 0.008 [ N ]

•

C%&)&%$ F )# &% e)%)i# '  F =m 2∗ g m2=0,0125 [ kg ] g= 9,78 [ m/ s

2

]

 F =0,1223 [ N ]

9. •

M$2,i"$ /e Atoo/. E# b%!e % &% t%b&% / e &% j% e %t! H 8ei%#te # %#&i!i! e $e"$e!i# &i#e%& )# i#te$!e))i# # #&% ete$8i#%$ &% $e&%)i# e@(e$i8e#t%& v9t  ibj%$&% j#t % &! (#t! e@(e$i8e#t%&e!

 T%b&% / j% e %t!

Fe#te E&%b$%)i# e& e@(e$i8e#t e# &%b$%t$i  C&)&! %i)i#%&e! E@)e&

6"i#%  10

Fe#te E&%b$%)i# ($(i% ENTONCES &% $e&%)i# e@(e$i8e#t%& v =f  ( t ) v =1,1565 + 1,5978 t 

)# JVK e# P8!Q  JtK e# P!Q 

Re%$(i-" e:'e#i6e"t$% ; 7 0 1.';0 1.'40

9@  1.;@  1.1;

1.''0

>6?@

1.'00 1.1>0 1.1;0 1.140 1.1'0 0.0100

0.0'00

0.0/00

0.0400

0.0500

0.0;00

0.0=00

t>@

 Re&%)i# e@(e$i8e#t%& V9t

6"i#%  11

•

Dete$8i#%$ e& i#te$v%& e )#+%#:% e J%K H % # #ive& e )#+%#:% e& <>

C# %% e &! )&)&! e &% t%b&% 10 E& i#te$v%& e )#+%#:% !e$ 2

a =1,60 ± 0.09 [m / s ] •

C%&)&%$ e& v%&$ te$i) e J%K )# &% e)%)i# ; a=

m 2 g −m 1 g m1 + m2

=

m 2 −m 1 m1 + m2

g

m1=0,1702 [ kg ] m2= 0,2408 [ kg ] g= 9,78 [ m/ s

2

] 2

a =1,680 [ m / s ]

•

E# b%!e % &% t%b&% 4 e &% j% e %t! H 8ei%#te # %#&i!i! e $e"$e!i# &i#e%& )# i#te$!e))i# # #&% ete$8i#%$ &% $e&%)i# e@(e$i8e#t%& v9t  ibj%$&% j#t % &! (#t! e@(e$i8e#t%&e!  T%b&% 4 j% e %t!

Fe#te E&%b$%)i# e& e@(e$i8e#t e# &%b$%t$i  C&)&! %i)i#%&e! E@)e&

6"i#%  1'

Fe#te E&%b$%)i# ($(i% ENTONCES &% $e&%)i# e@(e$i8e#t%& v =f  ( t ) v =1,4705 + 1,905 t 

)# JVK e# P8!Q  JtK e# P!Q 

Re%$(i-" e:'e#i6e"t$% B; 7
B>6?@

9B@C A 1.<1@ V 1.4=

1.500 1.450 0.0100 0.0/00 0.0500 0.0000 0.0'00 0.0400 0.0;00

t>@

 Re&%)i# e@(e$i8e#t%& V9t

6"i#%  1/

•

Dete$8i#%$ e& i#te$v%& e )#+%#:% e J%K H % # #ive& e )#+%#:% e& <>

C# %% e &! )&)&! e &% t%b&% 10 E& i#te$v%& e )#+%#:% !e$ 2

a =1.9 ± 0.3 [m / s ] •

C%&)&%$ e& v%&$ te$i) e J%K )# &% e)%)i# ; a=

m 2 g −m 1 g m1 + m2

=

m 2 −m 1 m1 + m2

g

m1=0,1702 [ kg ]

m2=0,2603 [ kg ] g= 9,78 [ m/ s

2

] 2

a =2,047 [ m / s ]

 CUESTIONARIO  Se ve$i+) &% e)%)i# 4 e! e)i$ . &% !e"#% &e e Ne2t# XSe ($b &% i(te!i! e 3e M e! i"%& %& v%&$ 8ei i$e)t%8e#te H % # #ive& e )#+%#:% e <> X E@(&i)%$. SiH !e ve$i+) e# &% $e&%)i# F9% e@i!te #% )#!t%#te 3e e! i"%& % &% 8%!% JMK .T%8bi# !e )8($b &% e3iv%&e#)i% e e!t% )#!t%#te e#t$e e& v%&$ )%&)&%  e& v%&$ bte#i e# e& &%b$%t$i.

 Se ($b &% i(te!i! e 3e e& e@(#e#te e M e# &% e)%)i# 5 e# J1KH % # #ive& e )#+%#:% e& <>X E@(&i)%$. SiH % 3e #e!t$ i#te$v%& e& e@(#e#te e! n =−1,1 ± 0.4

6"i#%  14

 Y e& v%&$ J-1K e!t% e#t$ e #e!t$ i#te$v%&.

 Se ($b &% i(te!i! e 3e F e! i"%& %& v%&$ )%&)&% )# &% e)%)i# ' % # #ive& e )#+%#:% e& <>X E@(&i)%$. SiH !e )8($b. e@(e$i8e#t%&8e#te e!

Y%

3e

#e!t$

v%&$

bte#i

 F =0.1190 ± 0.008 [ N ]

 Y #e!t$ v%&$ te$i) e!  F =0,1223 [ N ]

C8 (e8! b!e$v%$ #e!t$ v%&$ te$i) e!t% e#t$ e #e!t$ i#te$v%& e& v%&$ )%&)&%. A!* 3e (e8! %!8i$ 3e e!t! ! v%&$e! !# e3iv%&e#te!.

 De %)e$ )# e& e!ti e@(e$i8e#t%& e &% !e"#% &e e Ne2t#H C8 ($*% e+#i$!e &% 8%!%X E@(&i)%$. E# &% tie$$%H !e"$ 3e !te # !e %#i8% % (e"%$&e # be# (#t% (ie % #% (ie$% "$%#e !e %#i8% !i e!tvie!e e# e& e!(%)iX E@(&i)%$. L% 8%!% &% (e8! e+#i$ )8 &% )#!t%#te e#t$% &% $e&%)i# F%  Y% 3e % 8%$ 8%!% 3e te#"% # bjet 8%$ !e$ &% 9e$:% #e)e!%$i% (%$% (e$ 8ve$ i) bjet. E# &% tie$$% # 8e %#i8%$*% % %$&e # (#t% (ie % #% (ie$% "$%#e % 3e ! 9e$:% e i#e$)i% e(e#e e &% )%#ti% e 8%!% 3e te#"% i)% (ie$%  e &% 9e$:% e %t$%))i# %)i% e& )e#t$ e &% tie$$% %9e)t%% ($ &% %)e&e$%)i# e &% "$%ve%. E# )%8bi e# e& e!(%)i !i 8e %#i8%$*% % 3e e!t%# e# e& e!(%)i # e@i!tie!e &% 9e$:% e i#e$)i% % 3e &% "$%ve% e! i"%& % J0K H e#t#)e! &! )e$(! # e!t# !8eti! % #% 9e$:% e i#e$)i%  !i & e!tvie$%# e!t% !e$i% 8 (e3e% .

 6%$% &! ! )%!! e!ti%! e# &% 83i#% e At2H !e ($b &% i(te!i! e 3e &% %)e&e$%)i# e!t %% ($ &% e)%)i# ;H % # #ive& e )#+%#:% e& <>X E@(&i)%$. SiH !e )8($b &% v%&ie! e &% e)%)i# ;H % 3e (%$% e& ($i8e$ )%! e!ti% 8e!t$ i#te$v%& e )#+%#:% e& &% %)e&e$%)i# e! 6"i#%  15

2

a =1,60 ± 0.09 [m / s ]

 Y e& v%&$ )%&)&% ($ &% e)%)i# ; (%$% e& ($i8e$ )%! e! 2

a =1,680 [ m / s ]

 Y (%$% e& !e"# )%! e!ti% 8e!t$ i#te$v%& e )#+%#:% e& &% %)e&e$%)i# e! 2

a =1.9 ± 0.3 [m / s ]

 Y e& v%&$ )%&)&% ($ &% e)%)i# ; (%$% e& !e"# )%! e! 2

a =2,047 [ m / s ]

C8 (e8! b!e$v%$ &! v%&$e! te$i)! )%&)&%! ($ &% e)%)i# ; e# %8b! )%!! e!t# e#t$ e& i#te$v%& e )#+%#:% e &%! %)e&e$%)i#e! )%&)&%%! ($ %t! bte#i! e# e& &%b$%t$i. A!* 3e (e8! )#!ie$%$ e!t! v%&$e! e3iv%&e#te!.

 CONCLUSIONES  Z Se )8($b 3e e# &% $e&%)i# e#t$e 9e$:%  %)e&e$%)i# e!t %% ($ #% )#!t%#teH !ie# &% 8%!%.  Se )8($b 3e e& e@(#e#te e &% $e&%)i# e#t$e %)e&e$%)i#  8%!% e! J-1K.  Se )8($b 3e &% $e&%)i# e#t$e %)e&e$%)i#  8%!% -1 e!t %% ($ #% )#!t%#te !ie# e!t% &% 9e$:%.  Se )8($b 3e &% $e&%)i# e#t$e ve&)i%  tie8( e!t %% ($ #% 9#)i# &i#e%& e# e& e@(e$i8e#te e &% 83i#% e At2..

 RECOMENDACIONES 

6%$% # 8ej$ )#)i8ie#t ($)ti) e# e& &%b$%t$iH !e$*% %e)% 3e t! &! e3i(! 9#)i#e# % &% (e$9e))i#. 6"i#%  1;

 L! !(&%$e! !& ebe# e!t%$ e#)e#i! $%#te e& e@(e$i8e#tH &e" !e ebe# %(%"%$ e!t (%$% #% 8ej$ )#!e$v%)i# e &! e3i(! e& &%b$%t$i   Se ebe t8%$ e# )e#t% e& tie8( e $%)i# e& &%b$%t$iH (%$% %!* # te#e$ ($b&e8%! )# &%! )#)&!i#e! e &! e@(e$i8e#t!  bte#e$ #! %t! )#+%b&e!.  Se ebe )#!e"i$ # 8ej$ e3i( (%$% &%! ($%)ti)%! e& &%b$%t$i % 3e %&"#! e3i(! (&e%! H i& et). !# e 8 b%j% )%&i%  # (e$8ite# &% bte#)i# e %t! )#+%b&e!.  C# # 8ej$ e3i( # !e (e$e$*% t%#t tie8( e# e& &%b$%t$i %& t$%t%$ e bte#e$ %t! )#+%b&e! e# &%! ($%)ti)%! e@(e$i8e#t%&e!.

6"i#%  1=

1

ANEXOS

6"i#%  1>

6"i#%  1<