3.-Segunda Ley Newton

7/26/2019 3.-Segunda Ley Newton

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UNIVERSIDAD NACIONAL DE INGENIERIA

FACULTAD DE INGENIERIA GEOLOGICA, MINERA YMETALURGICA

AREA DE CIENCIAS BASICAS

LABORATORIO DE FISICA I FI203 SPERIODO ACADMICO 2013 ISEGUNDA LEY DE NEWTON

o Pr!"#r$

I%&' CORTE( REYES, Gr"&r)

o I%*"&r+%*"#$

ALCALA FERNANDE(, L"%+r 201303--F VAS.UE( ACEVEDO, P"r 201303//C

F"+ " R"+)+)4%$ 5607613F"+ " E%*r"&+$ 21607613

LIMA8PERU

INDICE


2/20

SEGUNDA LEY DE NEWTON

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3/20


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+ ;")+ % + =" #" >=";", + >"%)+ r"+*);)#*+ "#*+9"" ="+ >+#+ " =% ="r +=>"%*+ + r""r + ;")+ % + =" #">=";" ) ="r'

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Ley de Hooke.:

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https://es.wikipedia.org/wiki/Movimiento_circular_uniformehttps://es.wikipedia.org/wiki/Movimiento_circular_uniforme


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=" "r+rr)%+ ++ !="r+ +)++'

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8

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L+# =%)+"# #%$ N"J*%6>"*r N"J6> L)9r+#6)"#L96'

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DIAGRAMA DE FLUJO

olver

FIGMM P&)%+ 5

Colocar los materiales

para que tenga un

nivel de referencia

adecuado con el nivel'

Buscar un nivel

adecuado para

conseguir que la rueda

rote de forma recta, sin

Realizar el

experimento para

determinados tramos yconseguir los tiempos

Utilizar un cronometro

para controlar los

tramos indicados en la

hoja de datos.

Comenzar a dejar

rotar la rueda de

maxell para el

experimento desde el

! #


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EQUIPO UTILIADO

CHISPEROELECTRONICO ! SUFUENTE

" RESORTES CONE#IN AIRECOMPRIMIDO

FIGMM P&)%+ /

$espu%s de conseguir los

intervalos de tiempo

conseguir resolver el

cuestionario y determinar


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DISCO DE $%CM DEDIAMETRO

PAPEL ELECTRICO NIVEL DE BURBUJAS

PROCEDIMIENTO

F):+r # 2 r"#r*"# " )# > #">="#*r+ "% + &=r+ +:=%*+ 'C+r =%+:+ " +" 9% A3 #9r" " +""*r)'

M+r=" # =%*# :# + ++ r"#r*" A B

A9r+ + +;" " +)r" >r)>)>"r++>"%*"'

U% "#*=)+%*" >+%*"%r : " )#+r@)>++>"%*" "%*r" " "%*r " *+9"r =%+ "#=)%+ " "#*" 'S=>+"r r"%"r+ " )#"r =% )%#*+%*" "#=# " r)>"r

"#*=)+%*" #*+r+ " )#'E )# +r+ =%+ *r+"*r)+ =" #" r=+ +#) >)#>+ ;+r)+# ;""#'E "#*=)+%*" =" r"%) " )#"r "#*+r+"r*+ =+% " )# "#r)9+ =%+ *r+"*r)+ > "% + &=r+ 1++&+r+ " )#"r'

C++ "#*=)+%*" *"%r " r"&)#*r " + *r+"*r)+ "% =%+ :+ "+" 9% A3

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10/20


U%+ ;" 9*"%) "r"&)#*r " + *r+"*r)+++ "#*=)+%*")%);)=+>"%*"r""r + "*"r>)%+r +

+""r+)4% " )# +!="r+ #9r" " "% ++)%#*+%*"'

F)&'1 Tr+"*r)+ #"&=)+ r " )#

AN&LISIS DE RESULTADOS

1'8 D"*"r>)%" "% N"J*% " >4= " + !="r+ r"#=*+%*" =" # r"#r*"#":"r)"r% #9r" " )# "% # =%*# /,13 1/ " + *r+"*r)+'

2'8D"*"r>)%" +r@)>++>"%*" " ;"*r ;")+ )%#*+%*%"+ "% #)%#*+%*"# * 5'7*) /'7 *) ' P+r+ " "!"*K" + #)&=)"%*" "r+)4%;"*r)+'

O9#$C> " )#"r 9* -0 =%*# "% 1 #"&=%, > =% *) "# "*)"> "%*r" =%* =%*, "%*%"# %#)"r+># 1 *)16-0#

V 5'7

r (8)r(7)

1 tick

(0.165,0 .106)(0.135,0.09)

1/40 s (1.21,0 .64)

V /'7 r (9)r(8)

1 tick (0.198,0.119)(0.165,0.106)

1/40s (1.32,0.52)

3'8 D"*"r>)%" &">*r)+>"%*" + +""r+)4% )%#*+%*%"+ "% " )%#*+%*" * /*)'

a / V(8.5)V(7.5)

1tick (1.32,0 .52)(1.21,0 .64)

1/40 s 4. -,8-'/

D" "#*" >$ a(8) ?'71>6#2

Para el punto t= 1tic!"

FIGMM P&)%+ 10


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V 12'7 r (13 )r (12 )

1 tick =

(0.285,0.176)(0.263,0 .171)1/40 s 0'//,0'21

V 13'7 r (14)r (13)

1 tick (0.304,0.179)(0.285,0 .176)

1/40 s 0'5?,0'12

++% + +""r+)4%$

a 13 V(13.5)V(12.5)

1 tick (0.76,0 .12)(0.88,0 .21)

1/40 s -'/,3'?

D" "#*" >$ a 13?>6#2

Para el punto t= 1#tic!"

V 15'7 r (18 )r (17 )

1 tick =

(0.346,0 .184)(0.342,0.186)1/40 s 0'1?,80'0/

V 1/'7 r (19)r (18)

1t ick (0.347,0 .179)(0.346,0.184)

1/40 s 0'0-,80'2

++% + +""r+)4%$

a 1/

V(18.5)V(17.5)1 tick

(0.04,0.2)(0.16,0.08)1/40 s

8-'/,8-'/

D" "#*" >$ a 1/?'5/>6#2

CLCULO DE LAS FUER(AS

D" +="r + + +)9r+)4% " r"#r*"# #" 9*=;$

A2/'23N6> B3/'25N6>

Para el instante t=#tic!

F r Fa

Fb

Fr Fa2

+Fb2

Fa ++2/'23N6>0'12->3'70N Fb 993/'25N6>

0'101>3'/?N

FIGMM P&)%+ 11


12/20


Fr 7'21N

Para el instante t=1tic!

F r

F a

Fb

Fr

Fa

2

+Fb

2

Fa ++2/'23N6>0'0/- >2'35N Fb 993/'25N6>

0'155>?'55NFr 5'15N

Para el instante t=1#tic!

F r Fa

Fb

Fr Fa2

+Fb2

Fa ++2/'23N6>0'110>3'10N Fb 993/'25N6>0'213>/'17N

Fr /'51N

7'8C>+r" +# )r")%"# " + +""r+)4% + !="r+ r"#=*+%*"$

S"+ a

+ )r")4% " + +""r+)4%, b

+ )r")4% " + !="r+r"#=*+%*" "% ++ )%#*+%*"'*) a b

/ 11,812 10,1113 8-,3 1,31/ 1,1 2,7

?'8 D"*"r>)%" > " %&= "%*r" # ;"*r"# F + "% ++ )%#*+%*",

"%" + #)&=)"%*" *+9+$

FIGMM P&)%+ 12

INSTANTETIC

M4= "

a

M4= "

F

F6+ &

/ ?'71>6#2 7'21N 0'/013 ?'3->6#2 5'15N 0'/31/ ?'5/>6#2 /'51N 1'2/


13/20


CALIBRACION DE RESORTES

C% "%*r "% A % r+) )&=+ + +%&)*= %+*=r+ " r"#r*" : "% "#"=%* *r+" =%+ #">))r=%!"r"%)+ "% "+" %" "#* r"&)#*r++ +*r+"*r)+' R""*)r >)#> % "r"#r*" : "% B'

M)+ + "%&+)4% >@)>+ ="+ *"%) ++ r"#r*" =r+%*""#*" "@"r)>"%*'

U#+% " >* "#r)* "% ""@"r)>"%* NX 2 +" + =r;+

" +)9r+)4% " ++ r"#r*"' U#" )!"r"%*"# >="#*r+#" >+#+# +#*+ =" 9*"%&+ + >)#>+ "%&+)4%>@)>+ =" "% " r"&)#*r " + *r+"*r)+'

F)&=r+ 2

L+ +r*H=+ = >;)>)"%* ;+># + "#*=)+r "#" "%*r " )#'

P+r+ " #)&=)"%*" "@"r)>"%* *r+9+:+># % r"#r*"# A Y B ")!"r"%*"# %&)*="# %+*=r+"#;"r &=r+ 2 =+# )>"%#)%"##% @0A'2/> @0B '/>

M+#+# " +# )!"r"%*"# "#+#$

FIGMM P&)%+ 13


14/20


'2& 70'/& 5'/&

1-'/& 202'&

C% "#*+# 7 >+#+# "># +"r >9)%+)%"# +#) &r+r =% >":r+%)#)#'

D" +="r + "=))9r)@>&88>&6@

P+r+ ++r + %#*+%*" " "+#*))+ " ++ =% " # r"#r*"# "#%""#+r) +)+r >H%)># =+r*)# "9) + + +%*)+ " +*#9#"r;+#

A &r+r + "%)"%*" " + &r++ W ;# 9*"%r"># + %#*+%*"" "+#*))+'

>

N M& W>&N A B1 '2 0'002 0'0/ 0'02 70'/ 0'-/3 0'13 0'123 5'/ 0'7- 0'3- 0'35- 1-'/ 1'-?7 1'32 0'57 202' 1'0- 2'2 2'--? ?0 0'7//? 0'22 0'135 1-/'? 1'-755 1'22 0'?3/ 2-5'? 2'-2/ -'71 3' 200'? 1'?5/ 2'2 2'310 372'5 3'-7 5'3 5'?3

MH%)># =+r*)#$

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i=1

n

Yi=pn+qi=1

n

Xi

i=1

n

Xi .Yi=pi=1

n

Xi+qi=1

n

X2i

F(x )=p+qx

PARA EL RESORTE A:

N M& YM& A Y 2

1 '2 0'002 0'000/ 0'000052 ?'-@1085

2 70'/ 0'-/3 0'0013 0'000?- 1'?@108?

3 5'/ 0'7- 0'003- 0'0032 1'17@1087

- 1-'/ 1'-?7 0'0132 0'01 1'5-@108-

7 202' 1'0- 0'022 0'03/ /'72@108-? ?0 0'7//? 0'0022 0'0012 -'/-@108?

5 1-/'? 1'-755 0'0122 0'0155 1'-/@108-

/ 2-5'? 2'-2/ 0'0-71 0'10 2'03@1083

200'? 1'?5/ 0'022 0'032 /'72@108-

10 372'5 3'-7 0'053 0'253 ?'2/@1083

1'710/& 1-'105N 0'217> 0'70202>2 0'01037>2

'1-'10510 + 0'217

'0'7020'217 + 0'01037

F2/'23@ + 0'//A2/'23

FIGMM P&)%+ 17


16/20


0 10 20 30 -0 70 ?0 50 /0 00

7

10

17

2027

30

37

-0

F)&=r+ 3

PARA EL RESORTE B:

N M& YM& B Y 2

1 '2 0'002 0'000 0'0000/1 /'1@1085

2 70'/ 0'-/3 0'0012 0'00075 1'--@108?

3 5'/ 0'7- 0'0035 0'0037- 1'3?@1087

- 1-'/ 1'-?7 0'005 0'011? ?'21@1087

7 202' 1'0- 0'02-- 0'0-/7? 7'7@108-

? ?0 0'7//? 0'0013 0'00005? 1'?@108?

5 1-/'? 1'-755 0'00?3 0'001/ 3'?@1087/ 2-5'? 2'-2/ 0'03 0'0? 1'7@1083

200'? 1'?5/ 0'023 0'0-503 7'51@108-

10 372'5 3'-7 0'05?3 0'2?3 7'/2@1083

1'710/& 1-'105N 0'1/7/> 0'-/1-?->2 0'00/?>

1-'10510 + 0'1/7/

0'-/1-0'1/7/ + 0'00/?

F@3/'25@ + 0'5/B3/'25

FIGMM P&)%+ 1?

108

F)&'3E%&+)4% " A;# "# W

W108


17/20


0 10 20 30 -0 70 ?0 50 /0 00

7

10

17

20

27

30

37

-0

F)&=r+ -

RECOMENDACIONES$ A >>"%* " "*"r>)%+r + !="r+ r"#=*+%*" ":"r)+ r #

r"#r*"# *+%* " r"#r*" ZAZ > " r"#r*" ZBZ ":"r" " +%*">+%=%+ !="r+ )%))+, =" *"4r)+>"%*" % "9"rH+ "@)#*)r r %#)"r+rD 0 "r =" #)% ">9+r& #" + + %#"="%)+ " 4% "+)r" =*))+ +r+ +"r =" " r+>)"%* #"+ %=, =" +" =" ")# =)"r+ >;"r#" "% )!"r"%*"# )r")%"#, r *+%*, "#%""#+r) +r+ " = " + !="r+ **+ "# %""#+r) #=#*r+"r)+ !="r+ )%))+ + + !="r+ r"#=*+%*"'

[ M)"%*r+# " )#"r ""*r4%) "#*" "r+*); ";)*" *+r " +""*r), " )# >"*), +r+ %"r " )# "% >;)>)"%* *4>"" >+%& " >+"r+'

[ A "#+r " +9"r "#&) "#*+ !r"="%)+ "># 9#"r;+r+r+>"%*" =" % %# "r>)*" ++r *"4r)+>"%*" + >+#+"@"r)>"%*+'

FIGMM P&)%+ 15

F)&-' E%&+)4%"B ;# "# W

W108

108


18/20


[ A ++r + !="r+ r"#=*+%*" 9#"r;+># =" "@)#*" =% "@"# "%#*+, + +=#+ " "#*" "@"# #" "9" + =" + >>"%* " #*+r ")# #" " ) =% "=" )>=#, =+ r;+r =%+ !="r+ ="+=>"%*+r " >4= " !="r+ ":"r)+ r " r"#r*"'

[ V"r)+r =" + r"&"r # )%#*r=>"%*# + =#+r#" "#*% "% 9="%"#*+ " !=%)%+>)"%* + =" ="" +9"r )%#*r=>"%*# =" "#*%++# =" % !=%)%"% 9)"%'

[ P"#+r "% + 9++%+ +%+H*)+ +# >+#+# " +# "#+# +r+ +#H ";)*+r #"rrr"# "&+r + =%+ >+r r")#)4% " # r"#=*+#'

[ A )%#*++r * " #)#*">+ " *r+9+:, ;"r)+r =" " )#"r =" "#=% )%*"rr=*r " rr)"%*" #" "%="%*r" !=%)%+% rr"*+>"%*"'

[ E# r">"%+9" =" " %&= "%*r" " ) =" ;+ "#" " )# + +

"+ #"+ ># >H%)> #)9" *+>9)% ="" #"r r"* +r+ ";)*+r+#H =" #" !r>"% !="r+#

[ S" "9" *r+*+r =" + "+ + =#+r#" "9" #"r ># )#+ #)9" +r+=" " ) #" "#+" % !+))+ "#* +" =" + !="r+ ;+rH" =" "#*" + =%+ )#*+%)+ >H%)>+ " + "#=)%+ " + >"#+ " *r+9+: + =" + *"%#)4% ;+rH"'

[ E# r">"%+9" ""&)r =% *r+> " =%*# )>r"## r " )#%" % #" r")*+% *+% #"&=), #)% =" "@)#*+ =%+ )#*+%)+ +#))&=+ "% # =%*# +r+ 9*"%"r " "#+) + ;")+'

[ E;)*+r =" " +" +r94% #" "%="%*r" +r+ ="" "@)#*)r =%++%>+H+ + =" + + r+ =" " )# +#+ #" ="" ">r+r +r%#+#H =% &r+% >+r&"% " "rrr ="+ #+*+r " )#'

CONCLUSIONES

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3.-Segunda Ley Newton

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