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1 c 1 no no 0 0

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no -x X X

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n -x no - xI xf xfo f 1

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t = 3h llc Jcl9J1 ~~ ~~-4

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~t 6-25 35

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lucircl iI~ ~l9J1 4b1J JbJ -1J ~ di

E Ri + L - + 1$ dt

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E di R ( )05 - = +-z 1 L dt L

di 0 Ci IjJlamp rsA) Jiu ~~ ~JI ~ ~bll ~l ) -2025 dt - shy025

E = (R + 1)10 = lu = E R + r ~ JyJI ilJt iI)~ )~l shy

i = A(l- e~tT) -3

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e~lr(A _ (R -r)A) + A(R2_1 E T L L L

fi (R+r)A L - = -~-- = T = -_ 1-1

T L R+r05 05 AC R + r) = E = A E

L L R+r

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t = 3h llc WlWI ~~

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lucircl iI~ ~l9J1 4b1J JbJ -1J ~ di

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e~lr(A _ (R -r)A) + A(R2_1 E T L L L

fi (R+r)A L - = -~-- = T = -_ 1-1

T L R+r05 05 AC R + r) = E = A E

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dt R + l t R + l05 l E(l -Ir) = Ee + -e05

R + r

~Jl rlb1l1 ~ yJ1 A4 y~ Icirc-4UHf

r E U

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~~ ~jll 4blaJ (----=tshy

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x 4J~tJl

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= 0 -~~~y OX J~ gt btii4ac

a -g

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Z = - gt + 110 sm cd + ho2

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Z y~-2

t = _x_~ 4ll (2) UgraveA ) JI 4l)~ )~ Vo cos a

1 2 hz -c---- x + tgax + 005 2 a01 025 l 9 2

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49 (45)2 + 075 x 45 + 2l (

64 x 063 z ==

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---- = = 081s Jo cos a 8 cos 37

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Ie = Jo cos LV

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V y~ 025

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025 3 = 26deg ~J

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05 05

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025

025

025

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x 2Rn

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lJ~1 ~ u-l 1 ~ -11 ~_--

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4c 4-Ji1 ocirc~Ieacutemiddotj 4llao ~jS- i - 2

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5 x (H(J 0 +-2H+ +2c-)

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1t = 300min J)L J-J ~JI j~~1 ~ yk-4

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m = nlvI ~J n = m tfil M

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=25 x 104 x 27 = 675 x 10- 9

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WI i-liJ 1j - L ( UJJ ~

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httpforumphysianetcom

025x2 v= 398 X 1014

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025x2 T

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J liJ 4lo ~ tiampJshy4J J ~

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httpforumphysianetcom

~)liJ - y 025x2

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RC 470 x 400 x lO-uumlT 1

=0188 S

Tl (R + R)C 2RC

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N r x Nt = 287 x 10]( ocircly

N ln = I(t) w4J ~)-3

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lem --gt 02

lem -gt 40 jours

tCi) o 160 240

t l - (~) ~~l-Y 2

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ln = at ( 1 ) ~~ J4c v

N bull 1 - = e 1Jl-l No

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160 - 0

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2 5xlO

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N N -gtt (t) = oe ltUumlaJ

c - AI ~ _ m (1) m J

Jl( Agrave1 1 -Agravet -=e100 = Jl()e- ltUumlaJ 100

lIn- = -Agravet UumlooJ In100 = )t

100

025x205

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125

025

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t 92103jours 251ans

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~ J~ uol1 (JIJJj ~yo fLol I~

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L F = mucirc ltUumlaJ P+ R+ T = mucirc

d2 x-kx=mshy b~i~de d2 x k

--2 +-x = 0 dt m

x = x cos (w t + ln) 1 L ~tJ ~) ~tij ~bLtalllftX 0 t ~ bull lJA

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C 10) = 2CO) = 0 893molr1

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lJ~1 ~ u-l 1 ~ -11 ~_--

cy =C2V~ l~ ~ ~I

0 893Vl = 0101 = v IlmL

4c 4-Ji1 ocirc~Ieacutemiddotj 4llao ~jS- i - 2

2 x (MnO- + + 5e- = Mn H + 4Ho)

5 x (H(J 0 +-2H+ +2c-)

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)ISJ ~

n x 2M( 1

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middot13Ag( + 3e~ = 3Ag(s)middotmiddotmiddot middotmiddotmiddot middotmiddotmiddot(II)

1t = 300min J)L J-J ~JI j~~1 ~ yk-4

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z F

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m = nlvI ~J n = m tfil M

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(b1ij 3) v-uuml 6A IjjSy ~ F ~ (Giove-A) ~1lol yill ~yJ ~Jll ~ -1

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httpforumphysianetcom

025x2 v= 398 X 1014

30x 1O()

v = 364 x 103 m s

zhl- Z)-J ~j Y )-ugravel Ugravelyucirc-A

025x2 T

I(Rr +hyl21f 1

V GM(T) 516 X 104 S

1433h

025 x2

025

025

025

025

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UC=UAB +

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dq(t) = AQe-ert U=JUgrave

dt A -ni

l __e=A -of +-(A)- RebullCtC Re

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J liJ 4lo ~ tiampJshy4J J ~

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lem -gt 40 jours

tCi) o 160 240

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N r x Nt = 287 x 10]( ocircly

N ln = I(t) w4J ~)-3

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08+--------7f

02

o

lem --gt 02

lem -gt 40 jours

tCi) o 160 240

t l - (~) ~~l-Y 2

W 4Jlbu ~

ln = at ( 1 ) ~~ J4c v

N bull 1 - = e 1Jl-l No

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025

025

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o

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lem -gt 40 jours

tCi) o 160 240

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lIn- = -Agravet UumlooJ In100 = )t

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t 92103jours 251ans

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UaJ

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lem -gt 40 jours

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t l - (~) ~~l-Y 2

W 4Jlbu ~

ln = at ( 1 ) ~~ J4c v

N bull 1 - = e 1Jl-l No

httpforumphysianetcom

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2 5xlO

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N N -gtt (t) = oe ltUumlaJ

c - AI ~ _ m (1) m J

Jl( Agrave1 1 -Agravet -=e100 = Jl()e- ltUumlaJ 100

lIn- = -Agravet UumlooJ In100 = )t

100

025x205

05

125

025

05

ltUcirco t = ln 100 46 4600 J Agrave 5 x 10-3 5

t 92103jours 251ans

(blil 04) ~W ~

4J-~aI~_I -~ llk - ~ 1 ~ --1 ~ ~)~t ~ UAJ U ~ ~J ~~gtUW

~ J~ uol1 (JIJJj ~yo fLol I~

~tJcJ~ ~-2

X F _______ ~x~-~ --W~WM

L F = mucirc ltUumlaJ P+ R+ T = mucirc

d2 x-kx=mshy b~i~de d2 x k

--2 +-x = 0 dt m

x = x cos (w t + ln) 1 L ~tJ ~) ~tij ~bLtalllftX 0 t ~ bull lJA

16UgraveA3~ 162][

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~)liJ - y 025x2

025

025

025

025

025

RC 470 x 400 x lO-uumlT 1

=0188 S

Tl (R + R)C 2RC

middotmiddotmiddotmiddotbullmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddotmiddot12 21iuml

(hW 03) ~I)I ~I

4JlLJ ~t6 -

210 206 4 bullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbullbull 84 Po -7 811 P b + 2 He

(tY) JA (~l) )lLJ1 ~I

(No) ~lfliuml Acirc)yYI l~ ~ -2

N r x Nt = 287 x 10]( ocircly

N ln = I(t) w4J ~)-3

~) -1

No-ln(-)N

08+--------7f

02

o

lem --gt 02

lem -gt 40 jours

tCi) o 160 240

t l - (~) ~~l-Y 2

W 4Jlbu ~

ln = at ( 1 ) ~~ J4c v

N bull 1 - = e 1Jl-l No

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05

~YJ~J ltJ~YJ ~ ~y~1 fk O) YJJ~I )~ jbi1 ty-yJ ~I~J ~~yugravell ~4-II t-ll

~

025

025

025

025x2

~4-11~

-ln = +Agravet (2) ~hi o)~ o

080 - 0 _ ~- 11 Il Agrave = a = tan a = ~ 4QJIJQQJU

160 - 0

0-1 middot-1 A = 51 J

In2 0693 t 1 = - = -3 = 1386Jours

2 5xlO

~ ~~__~I 1 jl-~1 00 ~ ----- fYU UA

N N -gtt (t) = oe ltUumlaJ

c - AI ~ _ m (1) m J

Jl( Agrave1 1 -Agravet -=e100 = Jl()e- ltUumlaJ 100

lIn- = -Agravet UumlooJ In100 = )t

100

025x205

05

125

025

05

ltUcirco t = ln 100 46 4600 J Agrave 5 x 10-3 5

t 92103jours 251ans

(blil 04) ~W ~

4J-~aI~_I -~ llk - ~ 1 ~ --1 ~ ~)~t ~ UAJ U ~ ~J ~~gtUW

~ J~ uol1 (JIJJj ~yo fLol I~

~tJcJ~ ~-2

X F _______ ~x~-~ --W~WM

L F = mucirc ltUumlaJ P+ R+ T = mucirc

d2 x-kx=mshy b~i~de d2 x k

--2 +-x = 0 dt m

x = x cos (w t + ln) 1 L ~tJ ~) ~tij ~bLtalllftX 0 t ~ bull lJA

16UgraveA3~ 162][

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05

~YJ~J ltJ~YJ ~ ~y~1 fk O) YJJ~I )~ jbi1 ty-yJ ~I~J ~~yugravell ~4-II t-ll

~

025

025

025

025x2

~4-11~

-ln = +Agravet (2) ~hi o)~ o

080 - 0 _ ~- 11 Il Agrave = a = tan a = ~ 4QJIJQQJU

160 - 0

0-1 middot-1 A = 51 J

In2 0693 t 1 = - = -3 = 1386Jours

2 5xlO

~ ~~__~I 1 jl-~1 00 ~ ----- fYU UA

N N -gtt (t) = oe ltUumlaJ

c - AI ~ _ m (1) m J

Jl( Agrave1 1 -Agravet -=e100 = Jl()e- ltUumlaJ 100

lIn- = -Agravet UumlooJ In100 = )t

100

025x205

05

125

025

05

ltUcirco t = ln 100 46 4600 J Agrave 5 x 10-3 5

t 92103jours 251ans

(blil 04) ~W ~

4J-~aI~_I -~ llk - ~ 1 ~ --1 ~ ~)~t ~ UAJ U ~ ~J ~~gtUW

~ J~ uol1 (JIJJj ~yo fLol I~

~tJcJ~ ~-2

X F _______ ~x~-~ --W~WM

L F = mucirc ltUumlaJ P+ R+ T = mucirc

d2 x-kx=mshy b~i~de d2 x k

--2 +-x = 0 dt m

x = x cos (w t + ln) 1 L ~tJ ~) ~tij ~bLtalllftX 0 t ~ bull lJA

16UgraveA3~ 162][

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05

) shy

Ugravet+J1 Ugrave4 -3 025

T 025 x 4 = 18 ~ljJl )3ll

27l 2 Rad ~Imiddottl middot_~11 wo025 y= 7lS ~JJ ~ o

Ivruax I=wx0 lTldX

7r

Vmax 10 Wo 27r

1 OO5m = 5em xm lt1 = 20

025

025

025x2

025

omv x ij t 0 W ~~IJus

4k 3 1) = oRad

X(t) = 5 X 10-2 cos(27rt) (m)

~ ~I 4b icirc ucircUi -4~ U C

E = Ee + tpp Epeuro

1 2 1 -mv + -Kxshy2 2 1 2 2 2( t lK 2 2( t- mwoX SIn W 19) 2 cos Wmax o xmax2

E = 1 KX~lax = este 2

~(20) x 25 x 10-4

2

=25 X 103 j 25mJ

(163J_ 16 Ugrave 14~

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125

~llJ~J u~llJ ~ ~llJil rk olLo llJ)~1 )~0w1 t~yJ~ r1--J~~~1 ~tl ecircw A y-AWc

)75

025

025

025

025

flt-ll ~~I JcliJ1 ~)Lto ~bS 1

t~YU J middotugrave f

(Jvln~~ +8~1) +5e- Mn~~) +~ql) (1)

~ 1 1 1

b~ l iJf

(80 HO = 802- 4H+ + 2e-)

2 2 (1) 4 ((11) (2)

~ ~4YI 4b1aJl

2MnO- + 5802 + 2H2 0(1) = 2Mn~a+ + 580- + 4H(~ )4 q) i UJ

911 JII J _ AJlJ iltsJ1 G~l te ~I~ - 2ii -I~ ~r J ~

(~jJl) ~liJ1 kll ~ ~I

(~~~w 1J~)Lto J)lc tllJl ~ j9tsJ ~- 3 n O (S02 n O(Mn0 4 ) ltUumlaJ

025 5 2

CY ltUumla- 2 middot5

)5 J)J jfiY C 5CI Y E2V

5 x 2 x 10-lt

2 x 50 x

025 )kJ1 =lO2molrJ

(jj)lJl ccedil~ ~ ~1jlJ1 sq jW ~ JyJI jfojJ ~-4

75 025

bullbullbullbullbullbull C = t

- = t = CM M

025 bullbullbullbullbullbullbullbullbullbull M(Nu) 32 + 32 64gmor 1

025 t CM = 10-2 X 64 = 064g1- 1

tsJ1 )ojlll

1YI-Jw ccedil ~1 ~ ~~ -5 rJ

(soJ UgraveA 0) 64 ( g) +shy S 0 2 Jbo UgraveA ft 1 JS

ccedil1~1 UgraveA2 0 m lt$

+shy S 0 2 JhJ1 UgraveA ft 1

[164)16 amp-15

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125

~llJ~J u~llJ ~ ~llJil rk olLo llJ)~1 )~0w1 t~yJ~ r1--J~~~1 ~tl ecircw A y-AWc

)75

025

025

025

025

flt-ll ~~I JcliJ1 ~)Lto ~bS 1

t~YU J middotugrave f

(Jvln~~ +8~1) +5e- Mn~~) +~ql) (1)

~ 1 1 1

b~ l iJf

(80 HO = 802- 4H+ + 2e-)

2 2 (1) 4 ((11) (2)

~ ~4YI 4b1aJl

2MnO- + 5802 + 2H2 0(1) = 2Mn~a+ + 580- + 4H(~ )4 q) i UJ

911 JII J _ AJlJ iltsJ1 G~l te ~I~ - 2ii -I~ ~r J ~

(~jJl) ~liJ1 kll ~ ~I

(~~~w 1J~)Lto J)lc tllJl ~ j9tsJ ~- 3 n O (S02 n O(Mn0 4 ) ltUumlaJ

025 5 2

CY ltUumla- 2 middot5

)5 J)J jfiY C 5CI Y E2V

5 x 2 x 10-lt

2 x 50 x

025 )kJ1 =lO2molrJ

(jj)lJl ccedil~ ~ ~1jlJ1 sq jW ~ JyJI jfojJ ~-4

75 025

bullbullbullbullbullbull C = t

- = t = CM M

025 bullbullbullbullbullbullbullbullbullbull M(Nu) 32 + 32 64gmor 1

025 t CM = 10-2 X 64 = 064g1- 1

tsJ1 )ojlll

1YI-Jw ccedil ~1 ~ ~~ -5 rJ

(soJ UgraveA 0) 64 ( g) +shy S 0 2 Jbo UgraveA ft 1 JS

ccedil1~1 UgraveA2 0 m lt$

+shy S 0 2 JhJ1 UgraveA ft 1

[164)16 amp-15

httpforumphysianetcom

025x2 1 lxO64 J(SO)middotmiddotmiddotmiddotmiddotmiddot middotmiddot middot middotmiddotm 2 0032g = 32xl0 fl9 20

~ ~W 4Jwl1 bJy ~

025 (4Jwl bJy ~) 250lgml

---------------(165Jshy16 w-16

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