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iÇU C!! L~.!:\"-\" Jl\" • ~L:r,j,j , ~~ I 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 • 1B+ (C) .1 (B) • (A) ~I~I il ;u.,.J1;\";u.. JIS:.:.I ~~ ~ 1J..•••••• .bj4-J1>.bo.J. (C) .1 (A) ~J1' \"\" L41...,,.\bJI·'1 .a,.]1 ~ 2( ~I ) ;u.,.J1)~y ...... 2.1 lü»;wl ü>J1;..J1ü\" \",6.~I -\",11oû.!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) i\l.-ll ~u . 1 il..!lbJlJlS..o.l .J..!~ !l l- Ei, EPPA~ OJ, EeA=OJ , A~,-JI J •~,~'--\"'1. Epp,=OJ, Ei, Eee o{b~I \"-bo.J) , Ce',-JI J .~ r-_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _--'-\"CI=...o \" ',-'cJ:<'.=-'-=~< ~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~ 1.!.l Ei, EeA=OJ , Ae',-JI J . (\"\"Jill) J>-\" o<i ~,..:u,,;I Lüil Epp 0' ~ ~j Bi,Ee , BEj4l\ ~ · B <-\"\"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 • 2~ ~ lhh ê!\ po?J1 .!.l. u..J~ •..._,.Jb il)..,... ~. ) ili p,-\"J-1\"J yr''\:Jl..9 (.._r:_--I'I) il)..,... _ <Il>1~ ~.~). illû' ; 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 '4jA\bJ\ ;:\"1.! , o,J \ ~ \.iI31

W. 1. E\" Wm Ec... =O~.$;lr~.r-=:~ ·~! ~4~jS-j~)~1 ~~~l bid-~ . ~~~ 1 ~\b.l U~ ~ j.~:il ÛA ÔJI..\"r> ~ J.J~~ , o\\.uo...iù ~ \j ~;:il l,)A ~~\;...i'iL) ~ ~.:.>' <û1.:...t? .J~'-' ~1y.j\"i EP miC ~i-, .Bemie ~,s:.....,~,(Bi) ~l...ùl ~\b ~I.! ~, lO·lOm jAj ~I).lllj ù~j.?J\ .J~I ..l,.J.> ~ ..llLi.,l'il , 1 ..,.,Ij.>'.<cyl:. ~u.,. J \"'; ()S.4; ~ .)\:>J\,>j ~'~.J.'- . \"\"~~.>\"' ';'j\"\"\"\"'J~' ~,j\" h=4m twh:,.. b>....,J ~.!J-_ .<cyl:. ,......u Bi >\",!>'.JJ''''u..J' ,;.1 .- .. 'i~ \.l4., ~~ I,)j-l ( ~1 Ul.b ll) E , Epp, Be ù~ Lill.... . h tWJ~ BiJ) BiJ)40 40 f---- 401-- -\", 20;;0t---'\2-'::;4~m+,hlm) \"0; f - - - - +h1m) 0;;l\"' -2;-....4.m, ::+·h1m) . ~I (:0 ,.aJ ~L:J.I il..i1l.:aJ, ~ JSJ..l.J.> ~ 1 ,\!~Ib 6Jj';'\" \"'\" J.»j ,..,~ (..,.,)-~) ou..,.J' \"'Ib \",1J.» ~ . ....!.l:i...Jb1) . . 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 foi h t\"\"J~1 \"'~ I.! uS---; Lo~' .(h=Om) t\",,_,~1~ ('43u.:J1 ....~I Ajlb\! .\"..,...,ll c$J'-l1 ..\".. u'>J~1 \",1 ) ,,\"\",1 ~ 1-\"\",),,,,.! . ~','a 1 E, =Epp l (E,) t\" ,j.'1J'ü (..llO.lll .-\"\" J.,ol,;o:;, .h=4m t\",,;I~I \,I (Ee=OJ) ....-'-'-\"-' \",p ~ Ee ~r-l, Aj\'oJl Loi, •1 'u'» ~I ~ 0\" (h) \"-\"-\"\";1 \"\"'\" WS .)'-'-I~, -foi ..1....< ,--,.JI .,... WS ~ . ,0 \",1' \"'\"\"\" (h=Om) ,,,,1 t\",,)~I~..w, Lo= Ee=40J uS---; Lo ~i ~, 1 E1=Ec 1 :0j ! 1 Ec~~\~El ~1 1 ~I Aj\bJ1 ~ ~ ~ ~ W, t\"\"J~1 \"'~ ~ , E, = '-\"II> \",1 h>-~ ~ 1 E2=E 1 E'4KI141..!1bI1~E2 ~IOj! , E E=Ei+Ee+Epp . ..,.4 Lob ~1 \"\bJI.bl... ~ ~ 2 (E, \",,,,pl) Epp=40J . (h =4m) t\",,;I ~I .) . (El \"'''' p l) Ee=OJ E=Ei+401 E=Ei+40+0 Ec=40J , Epp=OJ = ~1..J.:..,!~ \ E 0~ ~l:!(E) oi b>~ .4~1b >.J,joA h=2 m t. I.iü;l ~ A,, ~lbJl ,,1 .. o...Jl ~ Epp=20J ,,,,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 • Epp, = 40J 'ü\!Ec,=20J - - _ . Ec,= OJ 'ül,_ _ _----..:'.-.,4~ L.b \",,.IJ,,J\"I, ·o..J1\",1> Ü)\"1\"\"pp,.401 , Ec =20J ,.....1. ... Ee2=OJ

\"Jf-.~I a3\bJ13 J.u.l1 .;.2 i>..I>~1 1 o~\ Be,W '4,Ib.....:.~1 o.9\hl\9 ~~\~-,0 . ~~,4 ·.!i; ' f ~~l.:I ü.l!BB'B· )t.......J'l$j'~ AA'A· ) t.......J\ A.......... , 2J~' \" ii '\" .......~ ..,.......~~.........._.. ........,.....\"..,..,·,·····s\" B' , -~, ~','~•.• \"o..\"=J-'\"_\"_'I1.':\"I \"Ü~. BB'B\" ) ~'\"'i\"'),~ AA'A\" ) \"W04-I

I ~•~. . ,'e.\", '-i\"'llJG. ,3 c_S)\".9\"-'-4 ) t...o,...,.......-.6...U. '>.S? .!l~\"CS_.:.JI......l..,)I \•--..._-ll büû ~\",-Wl:i::.J ~)...l.:!9 c.'Û.A \".'0 .' 4, ~ ) l1),.,j ~l l.a~.J> d.....1).l ~ \jJ .V (u:~1\"\".1\"\",.w..J ~t,. V w~1 ~1 1.i4l .;.I Jj1ûj ,~I 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; ',.,; ~ ) )\.0=...,1>~AB ~\" ;,,, . )t...o.;oj I,'\"h\", >.b;û J.O.l.ü ~~ F ...,I> .,. J-' WAB(F ) = F.d cosa , a.,.JUJl o) \.,uJl,I AB , F ~\",jljJl \"\" a , ABJ=~I y>d , ~. i.........................Af-F'a---r'-c't '--.Si-,F.,..'...... J =~lt ~ )I.JI :.;,..,L> cO>)J L. 3 2.\",\"'_F......_ _c_t _•• B 0.=00<Û4?-\"\"\"\"a =0,.;.\0 ,;1.9 ABJ=~I..,.b- \"sj!j, F>.,>JI\"\"b-.;.1b ûlW ~(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 wjii)=-Fd 1 w jii) = Fd (-l ) ' '''-'j,Q W ,,(F- ) =F- dcos1t- =Fd (O) 'ù~! .2 ' #'.J=~I j.ob ')'<'I;>~ j.ob ù \S I~! ~j\"'\" ~~ 42 'Î, Ji->1-\"\".,.J~l.!J1 J=~I >Jb • O=a W ,,(P) = P. hcosa WAB(P)=P.h cosa = 1: ü~! , ~ ~I ~..l.AJ1 ~I> • Ail ~\"ftl' )t.... ù~ >JWI •.a \.1 W,..(P) = P. h.cosa ) jt,.!1 h cosa = ;Oyl =AB ,01 ,..J.>..; ~ , w AB(P)=P.h 1 :ü.31 h=AB. cosCt. q,),j! h,, , - , ~)'\ ~ ~j-it.:J\ ~.lAl1 ~llil Jllli J,..c. • ..l:... I VO .• te.:'~1 J ù w;,w.. ~ ,j.oWI ..,..o.; l.4I)i j Pùl l»)l; A l 'ù~!\" 1 W,,(P)= -Ph p( 37

\"ëg~IJ JA:JI.\"\" ~ J,..!l~I \"\")o 0\" ~1';')olY ~ ~ JA:JIJ..oZ .\"\"\",,jA-l1\"'\" H t l,;û) ~IZB Jin n __ n _ n 1 W(p) = p(Z, -Z,) 1 Ji 1 W(p)=±ph 1o -p h = IZ , - Z,1 1 e-' .l.;>jA JA:JIJ..o \" jS.;,.....-J1~ I~! . .4J1.. JA:JIJ..o \"jS.;,.....-J1-'=' I~! . : W~ ~ Ec ~~I \"IblI - 3 a.L+< r=+-Yo -. __~ __~v_.._.._.._.._.._.....r.. - . . . . ~~. . _A.........llL V ~ ~b.......,j \ ~->..J!.l .~- lM ~ ~ A...S~ ' i\.!lb.!1 Ec = -2MV' , \"-.JWI.)l.aJu. ~.. .w.. ..~~••l~' --1 .(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 1 .4...1\"')~~ c\büu &-4?..:\"J1)t...,.. 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 1, Ec =-2M V • .....J 1, =Ec=2-M V. -.> _~ 0\" h =Uù)1 .\".ill (A) ~jA-l1 C>-' 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,) '-?-. ,~4 J;Jl , ~1

2~~\ -J>:.:Jy c,\"\"y ~ ~ - ~ a ~ 20 ° \"'jl; ~d F.}AbW- --- YL- -FoJAlI ~..,...,.I ~ 1 \"1 J)l> 'JAl' .~ >.b..~1 \"\"1bO...~1 ..,...,.1 ~ 2 d=4 rn .llt = 5s (rj ..h.l\ F •jAlJ WI F j...J1~I..> ~ 1 , \"\",,'--\"\"~y W(f)~ Fd _co,a , ~ W(f) ')~ ~W(f) ~ IOx4xco,20-3J'1W(F) ~ 40 x 0,94 , riW-----(-:F:'-)---~ p ~3B , Jo. U ~::.!\"\"-\"-\"\"\"\"1... ,EP ~- . p ~ W(F) 6' 51P;;;7,6Watt 1 R ,lL P.FcSJAlIJi.' 1>1.. ~ 1m\" ')4-Jlül ~W!R) j W(P) jW(F) ..,...,.1 ~ P .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°, ü j !, ~~~,d JAl> I$jlj:.1 F JAl>,0 W(F) =3.10' x2000x cosO ......j . .!l__ ~ F ~ül ukJ\"\"'(+) ;)W.~I 1 W(F)=6.10' J=+6.10' KJ 1~ - \" \"W(P) = P.dxcos- • ü >! (-) cSjW:'3 ' 2 2-] W(P) =Pd x O 1W(P)=OJ 1,il' r~J=~l uk ..,>~I ;j>JI ~ ü>!.li~ , W(R) \",,1..> • 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'JI1W(R)=-2,1. 10'41,

-'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,.)\"'~~jNr-I- ----, W(P) ~ - 0,l x 9,8 x l0 . ........ \"\".9\"- . W(P)~ -9,8J .(2))c....lJ ~I,o.~ rl-W-(-p'-)~-OJ-'I •ü~! • h = Dm • (3))c....lJ ~I,o. R' ~ 5m u.. 9'>, (B ), (A )()':! .)~WJl tÜù)~1 J.WJ,. .) t......Il (Y f\"4,I ~ W(P) ~+ mgh 'ü ~! ~ 0,1 x 8,8 x 5 Jp-ü,.... m = 58,4 g ~ \"\"\"\" o;SJ 269Kml h 01.;-,,\", .Be ~pJl ~lh~1

~ I . ~ ~\",.JI \"Ibll~b> •Ec =1- mV 2 , \"'\" ~rol' ..Ibll. ) \"\" ..,b>:l 2 V = 269 =74,7m/s , ..........(m l s ) J! \fl~ , V =269Kmlh , u\"..Il 36 , Ec=~(58,4.1 0-')(74,7) ' ' .......... u'>~ 2Ec ~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 . 3 F.~ •P ~I <5~I (c ) • )c\"..J1;,,)11= fo-'\" ~ Ji;. • . •,.~...4>~I ~I .,....,.i . 1 . 5 .LW(F) <5~I •.:u.&4?-j~I t\".,...~; . \"\" $~ÛL.. ,L W(F) j LlEc ~~Ü)\j e l .!! . ~ ~1 ~~1 t).,a ~ I.llA .-.,..1' ) c\"..J1ü il , V, = Omis uS' ..hJ\ . .j)lb:,~1 <lb.JEc, ~\",.J' ~Ilo.\"b> . 1 ±M1 Ec,= V~ l ,\"'\" ~rol' ''Ibl'')\"\" 1 EcJ =OJ 1 :ù.l!

(m/s) JJJ~V, =108Km:B/eh2 ~.r-J\ 4.!1bJ' -,.Il........> !l 2 ~ Ec ,=!:.MV~ ' J4..I1 2 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, PZ,)4-Jl~ , .; 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 + 01I 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 ·ül Ji\".)l; Mc= I W(F) 'ül ~ ~.e-JI 4A1.b.l\ 6...!# ~ ~\ ,)~ • . .,. ~. r__-1\ ëli\bJ1Â..I .\;.... <.P.' . J-''';;.,JI I 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-....\" .,'j4IltA '\"14>~I .150Kg.,sjl.ü ~1 ~ül L.lcJ>ll\" ,.0=~i ~ l g=9,8NI Kg ~ ~..r-JI 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 3J...~.r-l' '''1bJ1 \"'\".., ~t:i.ü...1 ~ ...I J,.,j ~. \" , , . 1 b J1\" , m J I ~ , .À.!il.b.ll JQ~l dJ.ll.a.4 UA li~1W(P) =+ P.h c.W\W(P) =mg h=lS0 x 9,8 x 100 =147000 J>lll',00= ...1..> ~ l W(P)=1,47.1O' J •U. \.> Jo.•r..•- >.lb ':oiJ. ~...r_-II Ü·I l.\".

d..i\bJ\ b\..à:....j! AJ..lI..:&.4 A,ilü.S ~ 2.,,=,)(~I ci! Ot....,JI(>' .~WI ~L, ~ ~I ~ ....\bJ1blh.;! >.bt...~ ~I..û.,I~\ d..ilbll + dl!Q; \",h d..ilbl\ OI..A..ûÙI d..i\bll = ~ ~~ I M\bJ\3- .~)b.JI',~ 4b~ I' Wl ~.?A.i\b . .' \"lïS! . . l ~ ü:J · ~d..:ù~ I A.i\bJ I aEe, + W(P) - =Ee,î-: '...i?) ~\ r...b.... ~ b~\ i\h.J ~~I d..i\bJ\ -.,.Il....>,0 ~~)i rWl~'L,I U==l.. ü~~\ (.l:J Vl =Om/s ~ Ec = ~mv ~ ,~..ù J Ecl =OJ :(.l.ll .J+?JI .)..c. Al~!. \" ~I \"'jwJ~~ I':\"'j L: W!F) = W(P) .,) \.6Ee, = l,47.1O'J . .....j 1 Ee,= W( P) 1 ·ü~! 4.-6::.._r_-1\ A.!\bJI Ou-..;~-'-, ....?:,I..:i...l:i.- Ec,+W(P) =Ec2 ?.j\bJ\ b~\ AJ..lbA û-\"