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. ECB~~À.ÏUa~j.>.Jjù~

1
~,~

(Ee. + Ei) ....u.. ....r-ll B

~~I ~

~'!';'~..)l:J4,Vc=Om/SÂ,l~I~.l"""..:u~\ : CE~\ J ·

.>..,I>1.JJ11fl'u.. ....

.J.~b..:.

.r-JI ü~

, -,.'".;4 ...

( Wm ,>O) ~~,.., (Wm,) ~'40 J;.?'

tll) J ! (A~ •
..ulb

ù.W ....,..JI ü~ ( Wm ,< O) ..,.Jl..,.., (Wm,) ~'40 J;~

(Cl J I

(B~ •
. À.Ï1b

( ~) '

Â,I~~ ~~~ . -,.I

'ü.j!, ~\ ,)~~ ~~ ~üill\ ll..~\ dj\bJIL..\,

EcA=OJ . AE~\ lJ •

.;;.lPfoO

Ee

*0

Epp

Epp=OJ , l!,....,..,J1J •

j ......\:)If'~(Epe) ..,'r-l'....\blI ,;,<'~~,EpP.=O,
. ~ I 0).l4. Il

-:::)

1 Ei ....u..

......

-

Ec. =OJ CEro-JI J .

J>I.l.;.:i:. ~W\j ~WJ

(",,)~I. ~~I) >.4,.) (C) ~~I ~
~LJ \ + "-'_~ ! )

44,:.J ~l. •

.>

! >Ju."..., ~ J ~ ~ <Il "'""",,-J .~I <Il,Jo ~ ..,..,WI A ~~I J
Epp.,;,<' ~ ~, • Ec. =OJ W>,1, . Ep,=OJ
1



.ü~!

.,~I) >.4,.) (A) ~~I ~

Ei .... u.. (..,..,WI •

Ec. *OJ, EP.=OJ . B~~ I J .
1

(Ec.+Ei) .... u.. (..,..,WI •

.,~I) >.4,.) (B) ~~I ~

EP. *OJ , Ec, =OJ

( ~l.iJ 1 ._"'y!-) ~ I

~~ l) ~ ~\,I *

(Epp.+Ei) ..u.. >.4,.)1.41 (A) ~ro-J' ~
(Ec.+Ei)"u.. >.4,.)1.41 (B) ~~I ~
(EP.+Ei)"u.. >.4,.)1.41 (C)~~I ~
~~

....

(....&Wl+ ~) ~l ~~\ ) A1.çJ 4\.,I~lbll 4~/, ., ..... 1I_J.'-' ~ ~

3-

(I!l liA ) """'" ro-J' J:~



:.,.,.1.4!

,djlb]1 ~~ I ~ [J..J:Ij ' ~ ~ ~.l~ ~~ ~jilb.lI 61: , o,.J, ~

Ï\."Ij05\bJ1 4:1.1:,,0"'..1\ ~ ~-*'""..J.,...::tj

\..a, Ei=OJ A..j..a... ~LLII Ailbl\ ~.
~l.ü.:! , "-:!Jt:A:J\ 4.:.A\S.J\ Clilbl\

*

""",,1~ , ~ ~\ ClilbJ!

'Ir

iÇU C!! L~.!:"-"
~L:r,j,j , ~~ I

Jl" •

aA\bJ1'*

.J..Il.JJ=1 : ~j~ \ a.l.4\S.11Ai\.bJ1•

(1

-1 1;r.~"""'..J.

..,.,.= ,



~.,..J I

;";\bJ1•

~I~ . ~,..".-..JI ~\S.I\

A.i\bJ\ .

_ _~11w,.~1
~~I ilu'» " ~ b>..uJ . (B ) ~~y~ (A)~~I V" fi">...w .......
(~I )

(C)

~ Ei >"b-I.»I ;";\bJ1ü l u;r-'l' ~ il u'>"'"

A

(C) .1 (A ) "" ..,.~

(u'>)~I. ~I) ;u.,.J1) ~y • 1

B+








(C) .1 (B) • (A) ~I~I il ;u.,.J1;";u.. JIS:.:.I ~~ ~ 1
.bj4-J1>.bo.J

J..

~2

;u.,.J1)~y

.....

. (C) .1 (A) ~J1' "" L41...,,.\bJI·' 1 .a,.]1
( ~I )

. 2.1 lü»;wl ü>J1;..J1ü" ",6.~I -",1
1oû.!lb..,..,.4lj"j~1 ~))u ~4.:U~j~l b~~ .~
~ >"b-I.»I ;";\bJ1, 1>,. .......;. il )I~~I ~ ~ ....1""'.1 .)~y D""
.4û..,l1:!

..hJ\
(....,..o) ~ \ + ....~ I)

~u

i\l.-ll

il..!lbJl JlS..o.l .J..!~

-

. 1

!l

l

Ei, EPPA~ OJ, EeA=OJ , A~,-JI J •

~,

~'
o{b~I "-bo.J) , Ce',-JI J .

Epp,=OJ, Ei, Eee

-"'1.

~r-____________________--'-"CI...o= "',-'c:J<.=
' '-~
=<

~u.:ü

, '4Jl1û.Il ~\5J\ 4,â\bJ\ ..

..l,aI.J..j.:l ,

~.r-JI

4.i1.bl\ ..

( ~ ') d.4;.J~ 4_ · ..,..

a.!lbJ\ JIS:..1.1..l,a~

.!.l

1

Ei, EeA=OJ , Ae',-JI J .
(""Jill) J>-" o<i ~,..:u,,;I Lüil Epp 0' ~ ~j
Bi,Ee B

, BEj4l\ ~ ·

<-""Y""";c;.,.b ~iI(B)F~ I ,;IEi ~",,(A)~~I ,;I Ei oI 6.~

.w,orJ.l1

Ei, Eee

, (b~1

"-bo.J) , C e',-JI J •
~ ~lhh

~

•..,.
._ J b

il)..,..
.

.

~)

ili

"" yr''\:Jl..9
p,-J-1J

(..r:--'
__ II) il)..,..
. J_

ê!\ po?J1 .!.l

<Il>1~ ~~)
. . ill'û

.

; u..

2

6. ~

"

~.b. '~0' :>b; !:"\:JI )~~I J;~II.:u,.9 , ~I <o.l.;>u'! Wm l.;>:..U~~.?'

.(Ee) ~.r-l, ""\b .l;1j-lli ""Jill ,bOy bA...., ~I ~ ,,>.ill"" (~""Jili
, ~l.6

31

'4jA\bJ\ ;:"1.! , o,J \ ~ \.iI

E"

. 1.
W

Wm

Ec... =O

~.$;lr~.r-=:~ ·~! ~4~jS-j~)~1 ~~~l bid-~ . ~
~ ~1 ~\b.lU ~ ~ j.~:il ÛA ÔJI.."r> ~ J.J~~ , o\\.uo...iù ~\j ~;:il l,)A ~
~\;...i'iL) ~ ~.:.>'

<û1.:...t?

.J~'-' ~1y.j"i

~i-,

EP miC

.Bemie

~,s:.....,~,

(Bi) ~ l...ùl ~\b ~I.! ~, lO·lOm jAj ~I).lllj ù~j.?J\ .J~I ..l,.J.> ~ ..llLi.,l'il , 1

.<cyl:. ~u.,.

..,.,Ij.>' J "'; ()S.4; ~ .)\:>J\,>j ~'~.J.'-

. ""~~.>"' ';'j""""'J~' ~,j" h=4m

twh:,.. b>....,J ~.!J-_

.<cyl:. ,......u Bi
.

'i~ \.l4.,

~~

I,)j-l

( ~1 Ul.b ll) E ,

.- .

Epp, Be ù~ Lill....
. h tWJ~

BiJ)
40

>",!>'.JJ''''u..J' ,;.1
BiJ )

40 f - - - -

401-- -",

20
;;0t---'\2-'::;4~m+,hlm) "0; f - - - - +h1m)
. ~I (:0

0;;l"' -2;-.....,
4m::+·h1m)

,.aJ ~L:J.I il..i1l.:aJ, ~ JSJ..l.J.> ~

1

,\!~Ib 6J j';'" "'" J.» j , . . ,~ (..,.,)-~) ou..,.J' "'Ib ",1J.» ~

..

...!.l:i..Jb
. 1) .

. h=2mtwA..~ ~ .,,~u..J"" 'o..J' Ji.. ~ 3

...wl
f ol "'~ (u'>;1 - 1"-'") >J..,.J

Epp '43= .... ~I Aj\bJ1 ",i,.w

~ , ~..w, Lo=(Epp=OJ) ...., ..... ~, uS---; Lo f oi h

t""J~1 "'~ I.! uS---; Lo

~'

~

~

.(h=Om) t",,_,~1
('43u.:J1

.... ~I

','a

u'>J~1

Ajlb\! ."..,...,ll c$J'-l1 .."..

1 E, =Epp l

~

1-"",)

,,,,.! .(E,) ~ t" ,j.'1J'ü (..llO.lll .-""

J.,ol,;o:;, .h=4m t",,;I~I \,I (Ee=OJ) .... -'-'-"-' ",p

1 'u'» ~I ~ 0"

",1 ) ,,"",1

~ Ee ~ r-l, Aj\'oJl Loi, •

(h) "-"-"";1 ""'" WS .)'-'-I~, -foi ..1....< ,--,.JI .,... WS ~ .

,0

",1' "'""" (h=Om) ,,,,1 t",,)~I~..w, Lo= Ee=40J uS---; Lo ~i ~,
1

Ec~~\~El ~1 1

~I Aj\bJ1 ~ ~ ~ ~ W, t""J~1 "'~ ~ ,

E, = '-"II> ",1 h>-~ ~

E1=Ec

1

1

E2=E

1

1

E=Ei+Ee+Epp

:0 j !

E'4KI141..!1bI1~E2 ~IOj! , E
. ..,.4 Lob ~1 "\bJI.bl... ~ ~ 2

(E, ",,,,pl)

Epp=40J

(El "'''' p

Ee=OJ

l)

E=Ei+401

. (h =4m) t",,;I ~I .) .

E=Ei+40+0

Ec=40J

,

Epp=OJ

= ~1..J.:..,!~ \ E 0~ ~l:!(E)

oi b>~

.4~1b >.J,joA
h=2m t.I.iü;l ~ A,, ~lbJl ,,1 ..
Epp=20J

o...Jl

~

,,,,1 E, ~I .;,.o .>,..; t",,~1 W

~

Ec=20J , .>,..; w...1. E, ~I.;,.o,

h=2m , h=4m =t.o:;)~1 "'" ....11;".:ll;l.:..:..,
Epp, =20J
Ec,=20J


--_.

Epp, = 40J
Ec,= OJ

'ü\!
'ül,

__----..:'..,4~
- _L.b ",,.IJ,,J"I, ·o..J1",1> Ü)

pp,.401

"1""
,
Ec 2 =20J
..... 1. ... Ee =OJ

,

"Jf-. ~I

1 o~\

a3\bJ13 J.u.l1 .;.2 i>..I>~1

o.9\hl\9 ~~\

Be,W '4,Ib.....:.~1

-~
,0

. ~~,4 ·.!i;

' f

~~l.:I ü.l!BB'B· )t.......J'l$j'~ AA'A· ) t.......J\

, 2J~'

A..........

"

ii '" .......~
. . ,........~~.........._..

........,....."..,..,·,·····s"

B'
" BB'B" ) ~'"",
'i') ~ AA'A" ) W04-I"

,
' , '~.
• • ".o.=J-'""'I.:I
"
__ 1'" Ü~.
, -~~

I ~



. . ,., 'llJG. ,3 cS""
"CS.:.JI.....l..,)I
• .. _ ll büû ~
",~ 'e" '-i"
_) .9-'-4 ) t...o,..,
. ......
. . - 6...U'>.S
.
? .!l~
_
.
\--.Wl:i::.J ~)...l.:!9

c.'Û.A

".'0 .' 4, ~ ) l1),.,j ~l l.a~.J> d.....1).l ~

\jJ .V (u:~1

,.w..J ~t,. V

"".1"" ~1 ~1 1.i4l .;.I Jj1ûj ,~I w Jf'o >.s.J> u..)~.!lI';"
.~

2
2
~ b d..b..iû 01 Jll ~ pj:J t$.lJI ~ ~ \..iû..jl ~ I.l J~ ~~1 ~I o~

U' JjLI

. ~ I ';~\ .,..a

.~=lj.,.~J...al ' , ~.

:"'=' t.wl .;J'./ <J L. c:? ~ L; ',.,; ~ ) )
~AB ~" ;,,, . )t...o.;oj I,'"h",
J.O.l.ü \.0=...,1> F ...,I> .,. J-'
~~

>.b;û

WAB(F ) = F.d cosa

, a.,.JUJl o) \.,uJl,I

AB , F ~",jljJl "" a , ABJ=~I y>d , ~

F

a

-ct

.

-F, '
,

............. .A
f-'---r'''--.i .........
S
J =~lt ~

i.......... .

)I.JI

:.;,.., L> cO>)J L.

3

2

.","'_F......_ _ct_ _•• B
0.=00

a

=0,.;.\0

<Û4?-"""" ,;1.9 ABJ=~I..,.b- "sj!j, F>.,>JI""b-.;.1b ûl

W ~(Ë)= Fd<o'O, ...... J...al' . J~ :• . ... , ,.; casO =1 , .)llJt,.j

u = 1t
Q

A

com = - 1 t" a =n 'ù!>~w..~ l.4IjAB // F j.obùlS I~!
1

w jii)=-Fd

w j i i) = Fd (-l )

1

' '''-'j

,Q

-

.

-

1t

'ù~!

W ,,(F) =Fdcos- =Fd (O)
2

.J =~ I j.ob ')'<'I;>~

'#' j.ob ù \S I~! ~j"'" ~~
4

2

, Ji- >1-"".,.J~l.!J1 J = ~I >Jb
O=a



WAB(P)=P.h



W ,,(P) = P. hcosa

cosa = 1: ü~!
, ~ ~I ~..l.AJ1 ~I> •

Ail ~"ftl' )t.... ù~ >JWI • .a \.1
cosa

=

w AB(P)=P.h

,-

: IV
O
..l...
A
p

(

37

1

:ü.31 h=AB. cosCt. q,),j!

, ~)'\ ~ ~ j-it.:J\ ~.lAl1 ~llil Jllli J,..c. •

,

h,,

W,..(P) = P. h.cosa
h
;Oyl = AB ,01 ,..J.>..; ~

) jt,.!1

.• te.:'~1 J ù w;,w.. ~ ,j.oWI ..,..o.; l.4I)i j

"1

P ùl l»)l;

W,,(P)= -P h

l

'ù~!

"ëg~IJ JA:JI."" ~ J,..!l~ I "")o 0" ~1';')olY ~ ~ JA:JIJ..o

.""",,jA-l1"'" H t l,;û) ~I

Z
ZB

n n __ n _ n

Ji

1 W(p) = p(Z , -Z , ) 1 Ji 1

W(p)=±ph

h = IZ , - Z,1

-p

o

1

e-'

1

.l.;> jA JA:JIJ..o " jS.;,.....-J1~

I~!

.

.4J1.. JA:JIJ..o "jS.;,.....-J1-'=' I~! .

: W~ ~ Ec ~~I "IblI - 3

a.L+<
o

..

-

A.........llL V ~

-. __

_ .

v .... ........... .
r=+-Y
__ ______
.r

~

~

.

~b.......,j \ ~->J.~
..!.l -

Ec = -MV'
2

. .

~~

lM ~ ~ A...S~ ' i\.!lb.!1
, "-JWI.)laJu
.. ... .. ~ ••
' --1
.
. . ~w~
l~
.( Kg) .;,.....-JI ~

,M

.(m l s).; i6.~1 rWl ~y,.....-JI "".,..

,V

. (J).;~~~I "'\blI , Ec

1 -i>r"l\
~J>"o J\ (Yl?-~1 ;..>1
1

~ ~ d..,.y~! ~.» d.l <.?jJJ ~1 .!1
.4..1"'
~ c\büu &-4?")
..:J1 t...,..
.)~

1

1

.~ 6.bw~ ~1)\..u...G • ....,.,

, ô)~l,I ~ ~ d~~J .!l~ IÏLi.,ll:J Fô~ ~ ~
W(F)=Fd.o. "
W(F)=Fdcosa • ....,.,

W(F) = Fdsino. '-?-

~,.w~u V <U~fol'>.&.rjM~~~pJl"\bJI ~
EC ="'2

M2V2

1
,
Ec =-M V •

2

....J

.

1 ,
Ec=-M
V. ->
2
.
~ 0" h =Uù)1 .".ill (A) ~jA-l1 C>-'

=

")"."''''''''''''1

-\

_

fol' Jill! ~ P J:iilll';": ~

• •)t.,..ly..,w,.. '-"')~I ~0" z, .,.~.H .".ill (B)~jA-l1 ci!
W(P)=P(Z, -Z,) ,

,

W( P) =P(Z ,-Z ,) , .."
W(P) =-P(Z,-Z,) '-?-

J;Jl

. ,

~ 4

,

~

1

2~~\

-

J>:.:Jy c,""y ~ ~ F.}Ab ~ a

-

-

-FoJAlI ~..,...,.I ~ 1

W--- YL
"

-

~ 20 ° "'jl; ~ d

J)l> 'JAl' .~ >.b..~1 ""1bO...~1 ..,...,.1 ~ 2
.llt = 5s (rj

1

d=4 rn

..h.l\

F •jAlJ WI F j...J1~I..> ~ 1
, "",,'--""~y W(f)~ Fd _co,a , ~ W(f) ')~ ~
W(f ) ~ IOx4xco,20
W( F) ~ 40 x 0,94 , riW
------::
( F'--)~

-3J'1

p ~3B , JoU . -- " 1..
.
~::!"""""" .

5

E

,

P ~- .

p ~ W(F)
6'

1 P;;;7,6Watt 1

R

m"
P

,lL P . FcSJAlIJi.' 1>1.. ~ 1
')4-Jlül ~W!R) j W(P) jW(F) ..,...,.1 ~

.d=2KmJI.".mdj ~ 1"; . • ) I...o,;t~
m = 1400Kg , )4-J1>.Ub
.g = ION/Kg , R = 1,2 .1O' N , F = 3 .10'

--

chJl

.( >br-l"j>JI );)L,..JI ~>;~."... . F ;j>JI . l
.P = mg ;)L,..JI J:a:.;~.".... P ;j>J1
.

l>J~' ~ ~ybl' ~.lJ oj! ,i 'u-")J.jJ\ [)~ : Rl>j4l1

(il ) j P j F ~.."I..> . 2
J=~I Ji.:. t.b ,<u:Y.:JlcSj>J1 Ji.:.

-

F



d

(a) "'jljll ""'" J4..,> ~ d"",~I



.J=~lj;~..lb ~

-~

W(F )= F.dcosa ,d=2Km =2000m
(l

,0

- JAl>

W(F) =3.10' x2000x cosO
. .!l__ ~ F

~ül ukJ""'(+) ;)W.~I

~

...... j

1 W(F)=6.10' J=+6.10' KJ

-

:'3 '
]

-

=0°, ü j !, ~~~,d JAl> I$jlj:.1 F

"

1

"

W(P) = P.dxcos- • ü>! (-) cSjW
2
2W(P) = Pd x O

1 W(P)=OJ 1

,il'

r~J=~ l uk ..,>~I ;j>JI ~ ü>!

~

, W(R) ",,1..> •

.li

a = 30' ~ja = 150'. ~ , W(R) = R .dcosa
W(R) =1,2.10' x2000 cos 150'
=2,4.lO' (- 0,866)
W(R) =-2,o8.lO'
1 W(R)=-2,1. 10'

41,

JI

-

'Z.

A ...~ .....
......•

B
I >JWI

AB =50cm , ABJUW!J,>I""F =5, ON~<?, F 'j>ll

10J . 2, 5J. 250J
2,5J . OJ . 2,5J , y>JWJ~\; . 2
-2,5J . 250J . 2,5J , .,.. >JWJ ~\; . 3

-!>JI

.3

[ 2,5J [.

1

5 c.D. .. 1
. "~, ,, (m = 100g
. ~)~.4J 1 ~\J l.....tJl ~ ~~ l ~~ ~

: ..L>-J\
)t..... .J5. J JA:JI J..<c ~'-> •

W ( P) ~ ±Ph Oy d ; -%.J10) t.,.J1,o h .)~WJIJ=~I ,L<>1(h.J"'Jl o~...,b>;
..,lc ~I .?' J=~l ü~ ü! ~~ . (+ ) O)\.:. ~1

~.
~.

~

~ ~I .?' J =~lü~ c;! ~~,

(-) O)\.:.~1

.(h) .)~WJl tÜù)~I ..,lc ~J.W •.!l~I J,o)o>JI ..,lc ~ ~ J"'olI J,....!

,

',~

. (B ), (A ) ()':!

W ( P) ~ - Ph ~- m g h

(1))c....lJ ~I,o.

2em.,. J4.o 9'>' (B ), (A ) ()':! .)~WJl tÜù)~1 .h
h=5 x2=10m ' v.3! lem
• Sm ~)! I,.)"'~~j
W(P) ~ - 0,l x 9,8 x l0
. ........ "".9"

Nr-I
- ----,
. W(P)~ -9,8J

-~

.(2))c....lJ ~I,o.

rlW-(-'p)~OJ
-'I

• ü~! • h = Dm
• (3))c....lJ ~I,o.

R' ~ 5m u.. 9'>, (B ), (A )()':! .)~WJ l tÜù)~1 J.WJ,. .) t......Il (Y f"4,I ~

W(P) ~+ mgh
~

0,1 x 8,8 x 5

. m = 58,4 g ~ """" o;SJ 269Kml h 01.;-,,",
.Be

'ü~!

Jp-ü,...

~pJl ~lh~1

~ I . ~ ~",.JI

1

"Ibll ~b> •

, "'" ~rol' ..Ibll. ) "" ..,b>:l

Ec =- mV 2
2

269
V = 36 =74,7m/s , ..........(mls) J! \fl~ , V =269Kmlh , u"..Il

Ec=~(58,4.10-')(74,7)' ' .......... u'>~

,

2

Ec ~163J

J"'" .,. ~b ""'" .....I .;.,;b " ü ?-JI (>AM = 1200Kg ~

' )4-.

..

.d = 200m ...l.....::ab> t. ..... ,(108Kmlh) '-"'.,..JI ~ F,=3.103N ~ F,

.f =300N ~ .....~ f .!J~! '~ ~.)c"..J101 u'>' ..
. ,,)lb:,~1 <Ib.J(Ec,) ~",.JI ~110.,....,.1 . 1
. 200m ...b. ~ <Ib.J(Ec,) ~",.JI ~110.,....,.I · n
.(Mc) ~roll ~Ilo"...,>:llI ~1

~ •P ~I <5 ~I F.

(c ) • )c"..J1;,,)11= fo -'" ~

.3

Ji;. •

. • ,.~...4>~I ~I .,....,.i . 1

.5

.LW(F) <5~I • .:u.&4?-j~I t".,...~; . ""
$~ÛL.. ,L W(F) j LlEc ~~Ü)\j
. ~ ~1 ~~1 t).,a ~ I.llA

e l .!!
.-.,..1

..hJ\
. .j)lb:,~1 <lb.JEc, ~",.J' ~Ilo."b>
' ) c"..J1ü il , V, = Omis

uS'

1 Ec ,

1

±M V~ l

=

EcJ =OJ

1

,"'" ~rol' ''Ibl'')""
:ù.l!

.1

:Be2 ~.r-J\ 4.!1bJ' -,.Il........> !l 2

(m/s) JJJ~V, =108Km/h ~ Ec,=!:.MV~
2

' J4..I1

V =108 Km = 108 =30mls
,
h
3,6

'.~

Mc

= 5,4.10'-0 , 1Mc =5,4.1O' J

1

'; Jc,...ll >J\bc foJ-' ..... (c) ~
<5j>.l1~ J4>,

.!l~~I ;~ ,

f ,<6.~I ;j>.lI,F,
Z,)4-Jl~ ,

P

.; Jc,...ll (J ';").»1J.:. ""'" lA ,1,(J.o.4l1~J) ..,....~I ;j>.l >.,..bUll "-'=r-JI R,

, ;) j-! .JS.l ~~I _l.-ll ..,-l'l.......> • 1 !I 5

]

W( F, !=+Fd =3 .lO' x200= 6.10' J

~'

W((! =- fd = - 300x200 = -6.10' J

: z,) ~ I ~;)P ~ I..s # \ ~~~ J ~ l ~-.".I1.......:> . ~

Iw (Ë!= W ( F, ! + W ((!+ W (P!+ W ( R, !
=6.10' - 6.10' + 0 + 0
1I W cP! - 5,4.10' J

1

I W(F) j (Mc) .Jl,> "'; l4.!1 . 1 ~ 6
1

Mc = I W(F)=S,4.10 , J
Mc= I W(F)

~.e-JI

'ül ~

4A1.b.l\ 6...!# ~ ~\ ,)~
~

.

''';;.,JI I

·ül Ji".)l;

• . .,.

__ 1\ ëli\bJ1Â..I .\;....
.
. J - <.P'

r-

W(F).sj>J1&4?' Jt..ol ~ .,sjl.ü >J..,.J Mc ~r-J' '''1bJ1 "";:> ü!

.Mc= I (F) ~ .ü:»-',w...J~t,.ÛOj '~

.100m u'»~1 ~0" t"'-" J.? WC>-'..,;-.~,.J,> v-...."
.,'j4Il tA '"14> ~I
.150Kg.,sjl.ü ~1 ~ül L.lcJ>ll" ,.0=~i ~ l

g=9,8NI Kg
~..r-J I

~

a51.b.l1....,..,.....:>1., ëlil.b.lllO~! A1.l1.a.o ~1 !J

.(,'j4Il"'j"'" J..4') . u'» ~1 ~ J! Alj">j >JQ,.J ~

..ll4>~~~1 !J 3

~.r-l' '''1bJ1 "'".., ~t:i.ü...1 ~ ...I J,.,j ~ ",,.1bJ1",mJI J... ~
.
,
.À.!il.b.ll JQ~l dJ.ll.a.4 UA li~1

c.W\

W(P) =+ P.h
W(P) =mg h=lS0 x 9,8 x 100 =147000
W(P)=1,47.1O' J

J>lll ',00= ...1..> ~ l
•.U \>
Jo.r.•.• >.lb 'iJ..r:o . ~ . _ II Ü·I l.".
.

d..i\bJ\ b\..à:....j! AJ..lI..:&.4 A,ilü.S ~ 2
(~ I

ci! Ot....,JI(>'

~ ~I..û.,I~\

3-',~

-î:
,0

.,,=,)

.~WI ~L, ~ ~I ~ ....\bJ1blh.;! >.bt...

d..ilbll + d l!Q; ",h d..ilbl\

OI..A..ûÙI d..i\bll =

~ ~~ I

M\bJ\

. ~ )b.J I

4b~ I' Wl ~.?A.i\b . . ' "lïS!

. . l ~ ü:J · ~d..:ù~ I A.i\bJ I

Ee, + W(P) - a =Ee,
' ...i?) ~ \

r...b.... ~ b~\ i\h.J ~ ~I d..i\bJ\ -.,.Il....>

~~)i rWl~'L,I U==l.. ü~~\ (.l:J Vl =Om/s ~ Ec J= ~mv ~ ,~..ù
Ecl =OJ :(.l.ll .J+?JI .)..c. Al~ !
.

" ~I "'jwJ~~ I':"'j L: W!F) = W( P) .,) \.6

Ee, = l,47.1O'J

. .....j

1 Ee,= W( P) 1

·ü~!

4.6::. __ 1\ A.!\bJI Ou .~', ?:,I..:i...l:i.- .r-.;-- ....
Ec,+W(P) =Ec 2 ?.j\bJ\ b~\ AJ..lbA û-"


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