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At orqt{ietudaf ir aF 6e truruu6'l.rto.r{nqfiurldauldtudrttrar fi{uufi}Jn'r3 (z) oTstinulllillfr'jr

mv-mu v

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r r 'l

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c'ln6iln1? (z) orcrTeudnilJuu{lFle'l

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c1n(qiln1? (4) rrJolJ[t{

d"ruen{ufl.(z)

sotin qnvnJdtruhJ nnr at h u.tudu F nrvrirrioinq1ud.r.:

nffiil$aslrlnild'u

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enaau

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nrdurfi'u il ? oqi'lufi n. rfiafiavrwtoouto F.Ar ---zt

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mv-mu

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uag riae 'l) t) r?'tcy6ilntrt.:F'luarnrr

(z) 'jT rrtina (lmpulsive Force] rrng:ludilmr (a)

alnnruro-:u?r i rTurcnlAt (i at) 6gndr nlsna(Implusel{rgdntni'f

fi $nsiiuil':urfluficfi'u.iuT nrrnnrflurliulrur?n$nffifiarfisrfi'urp.:d'nf,Ffinrvrirfi'uinq (Nst larfl$fiillufi.rnmaafifiollrrud'ldrrjdauurln.rhl taFt{uror uricvfrostflun:ltitql?ru'l t

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nrnnlx wurTxso.:in nfinl6flutil {ap)rj}ontn n r,trldqrn nlrnn ( AP) F. dt . . . . . . .(r . ., qrnfiufiloinrTv'l F.At .........tz l ('l).={2)unn.:'jr

dt d'lrior.v{rgu.ir.r F unr t fianraorn u6aAP s nnYlrvu'i'nsrunnn':rittLaileal

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tu6iln1r

tlJ

-,i 5 n1r?1lJ'ra/nailc1fin1flaa

i r. at = mv-mul L_l

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i gtJa fit tdauttFa$Tuuuctdacriu q1n

mv-mu

(v>ul

AP=

mv-mu

OJilfi -r)

AP At

F-

l|nJ

i_*

AP=

mv-mu

(xYlfl -+)

u(-l '

v{+}

@kr-

tm I

vJ a m daaN? iiaaxltutru i ai ldtnfli6nttra'p.ldru6flrdrwuru udrl{qnrn'ru':n: nTnxrJ 7 6,uJ1?nur .I

C1n

{nu

(o = rad-cr)

'rnv ' mu

= .ftmv)-+ (rnu)-+ 2(mvl(mulcos0

ionrirsnr:liou

i1n

unJ

mv- mu

mv- m(-ul

mv+ m u

-a t

nfir--6.--

l.r:n #inuls

at{rou

ntnlmslunrufiu

6fin +-t

mu = mv + +

(lJyrFl <- )

"'Jo

o t;r., ill a @)&oinqnnluuuzit

c1n

=a P

= ry F-ms - m\3lnt{ t-

F a

+me c

(2) ruo nfl il tâ&#x201A;Ź?nourila guunsn?.tiltflun{

lua guo gnuac[u'lnu !.

-g ilfluFtouFt.:u

mi un; nfr riau 2.'l u1'Uu'1Fl$nyffflfl'1.:1ol i Jj :A P -

iF, i nrilc{iln1rAP = thv-mu[|.nYF = z-z'Hi6nrrvn{tr'rnmaiul

d'ratiruriu{nqrrn m nid.rrndoufirirflnrur5r i udrqnurri nrvrir'lufirrrir4lri'u r[rlfinmur]rrildmriluv 'tufrrtrir4ra dr d cvu.rnmnJduuu:ln{lilwusi'll n1?rn6oufr ldd'.rpJ a

G* N

z fiaux?,lrtarjluuucdacfrui

ioilrirsnufiau

nr:rnrrrngfuilufu

nrft-__z_

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RU.1. {nqurnzfilanin rirdrrnrdaudlrJvrtfirrrufiarirane.rrrFr r0srnEfiurfiqcfilxmusTu rrirl: irnn;rilq*d

rfiof m = 2kg.

v = 10m/s fr'ornrrurp

qlnP =mv .

2x10

kg m/s

(fifiarn,wrufia)

u & uff

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ri i o f ,.n -1kg,u=0,t= 2s

U1 v

qln

;

UIAP ;

.'; AP a1qu1 ap ldqrn ..i F =-4 uJo F=mg

B= 10*/s2 fio.:n1?u1 apfioqurv r i au

u+at

0 + {10)2

AP =

e1n

txrilue-r.rra.:{nn

mv -mu

1(20) - 1(0)

kg. m/s

=10N

lddr

aP = a

v&ou

dttlu txtuuilurlat{aqnJdauuiladil zo fr2auiutfi

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rfi af u = 3 o m / s , v = 0 ,F = o . S

q1n F.A t =

mv-mu

tfro F =f =F mg ,1 fi fi nn1{ flolf= +,. ,u=1d'jr pmsr.t= m(0)- m(-30) f=30 '.

0.5x'i0 s 6

ffsrfw aia rfiitz atlu n1t Lui na dT tiaerd na o i ut fr

fionriesnr:fisu

flr:runsluffudil

n!{aou@

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(Lewof conservation of momenturn)

4 nsnrorlin$utlufiu

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qyq

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{rq

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r,-.-f{rq I^ rndaufifi'lsnmuf? n to t ru;{o'r q Run:{n q e fl rTuhifi uNnrfluan1n1 n*ri. rld.ju ruv{nqfii* awufiun;fi ur.rq'fi?ar-rJfrfi?urrnrdrdnqrhna.:rfio'{u laufiurnwirriuurifiavrr.:nr.rirr.rriu d',:pJ I .

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utt{!Ll

frl

a $stannltautwiNinq A ufrsI

1fir, ntruorod{rn n nr;ri,rsio{nn t' B AB

FBA uyruur.rdtrq e nr;fiieio{nqa at unurixnnrfiinq n rurTu{nqa c1nn0n1ttn6oufi{afin,u:ra.:ilrd'uld"ir F= AB

-r -F SA

tl)

= -[]tI! At

lta3c1n

fiqtnrrfi{nrl A unr e c;ld n':r:.ldlduf,.jr JJ

F BA

m v -m u AA AA At d_J

M V -M

FAB

BB BB At

Couriranr:rirru

al{sou

nrfluaslilrrrildu

u.?:n dinult

nr?r--:.-

d'rriu fi iln1? {t ) arn rdEluluritd.jT JJJJ

m^v^ - rn^u^ BB

_ rn u ) (m v . -m

AA At

lJj

mV-mU BB

= BB

mi * md o1

tt-

= .

mU -mV AA

n r i* m d AA

liu6 o Hn tt il t a {ti r t :r u aruri o u n r ttu t a { ?slr u ryir riu arn :t il a o {t il r il u a"ilu a"{ n1?duao{'sltu v

d'.rriu6l nr m rnnq:Jrfiungid"lr cirtdfi uern"fldnrc rir siat; u u udrl u uu rir sar surqvfi ir alnr d.:6gn.jr nSnrm qin fll ruunl rfisudunil nr rld'"ir E Pflautu ,

= IF-ua{iu

s n1€du (Collision)

n,rrtu umaf;ln.#ttquiionrnufrfudnftrquCH tu:1..,,r*.#r.1riia1urr.rni.:{nqamlri urifinxtrnr;nhria{nqudrtrirunrufiaurTunrrrufifia.jtflunrerufudnsnryufir d'o.rnrcilurYu niu nrrtufluro{r?n,nlrnr;ruriuaorqn{urTurnrrfir d',roeirlnrffufi'ufir^rutfiludin:Jrci{u ntrvrfinra.:{nqr;rfin,nrrfi.riturfludu nrrfirnufin,diluJar,finodd,nmm;qnr{nilan, lunrrnugsl{nqtnumnrlnq:finxR'ruuonillnr;riT oia{nqdoorr.^nuor,r?{e$J,'rnu?o1loa

un;'lunttuamfintqrgrdurirhu.n"rd'uurnu$afiae {uaqjfr'ud'n$rurn1?{urYu:rar{nq uiahi rflo1snunnlrauaanld z dnurwd'.:d {rgmerrnsnm d

6149.

t. rdollurun-il1o.:rruufiiT n.:ndrflunttuvirruytuiiuruRlsilanrJlnr;rirriaeil'.rn rfiorfisufi'usu'tFrts.ltt?.snn firfrr,,ri'u'inqtru:tufi'uu3s*finrauonrflu6utiuiunrmuralqnilnrn'aor nrmurTuta{:naud nr rfi.:flu rflufru 2. rdaTr.rruunxta.:ecuutria.rdrflunTrtufi:rruytufiur{Rluuanmnrvyr:rmnn.jt

n or ud,fir ffu{urq:rrunur-rur:iu qnuon* nnrrnufrurnuurfturTu fr'ulfirflud'u luu"rdariahidriJunrmurra{innLdalrifius.rn'lsuonrJ'rnfirirrios"uudorurro sgnn"nuilsnrgnuki3 uuu

nttzuffu uuudautlu E ! asti c coItision) ' nrauriuuuuEauqiulflun,stutarin qudr3:JirlmrinqlrirrJdsuuilnrniunrruu riuto.:qnilntdan, nttxuri'u:rorqnuan u?o{nqfifinmudnu{uldturi'u nrnur1uuuudnurjuurlr otnld'z{nrru; 6o n. n1tiul,luufinu{ueilusni 6arflunrmufrlrifi nrrgrprilanf{lruqnrilnufl d{{ru cnfrrilriountrurvir ri'uvr dwruqnrirrllud'wulrragrJnrlrirrJdsuuiln.t

t. o-rr{uttuu6nu{ulairrlgtnirflunrruufi fintgrg rflandwuqeri tnarildsulil tfluxfwuAtJd" dsr?ur^r{.:r'ruqnrir'rilud'.rruc;1iasn'irlrd.:.:rucnfn:.rriauru tarugrJir.rlri nlntguuiln.:

nrlr-:a--

u.r:n #iguls

alf,aou

ftr:tilttnslil$ludu

ioilrirsrnrlrfiail

4vvd4.1

luu'r{oilrr1cvn nu1ialr'r:n'r?tuuuuiinuqufi rr;rniwirriu nlttutruu6nuduAug€ni (Perfectlyelasticcollision) tJaro{nltsuu,uu6 enatjunu4rni'ru.ir 1. Hnm il ao rTr.ruru 6'uriaut u = er6r12ln o.:tr rr u n"l.t u alt u

2. namilro{r'rf{{1uca dr?ildailiil = Hnoxr$o{ndwuqnriudltu

= rE.k1r6.l{u Ii ire. knauiu lL-

z rioufrfiamlr6ragiluuu?ei'lulnfiudnnrlmn(c.M.)

fiqtnnnrtturiutaritq

n m ilnhdl rndoufifirsn?1ilth m rndsufidranru rFrd| r{rtu{n nur fi- ' -urifi . - - i - ' - -{nnrcn ' - i- - - - ""I 2 T 'lufrnvtr.:tdurflulorflull1nn.j1u^d.:grl e fr'rtilunltxurtuudnuqu€(1Jq?run1flun.lnl?su J

-.\

_ _ t_

2 12

t.t,tnm ilnrfX6.J v lrn m llnmltir

r 122

u 1 .-+>

J - .-

t,4

?2 +

-rU L'

€ -b

_> /-

.^.^^' r-

f m Ym\ lr l' ;l\1, \,/\y

t "'. I

c1n )

f m \-/

| -"^|

udltu Iru;lu N tdun n'trt u ffuta.tia quuuinutiuttnp niluuue

nou{u

- - ^- - - tl{U v 13[flA?1lJfiilY{U0go{n'lfiU

rPn"'."r., =

rPu,{'on',

= m1'd+mt 22 l

m1t1+ m i

ruolc1nrflunlrtuluuur nr.:rdsrriualctiiuus{ilnrrlraritd.ir

mU + m U lt 22

fTl v+ mV 11 22

fn U -mV 11 1t

mV -{ nU 22 22

mr(u'-v.,'l

mr(vr-ur)

rE*riuuor, =

rE,udon'.

e1n

1tr'*1*u' z lt z2z *ut-*u' 1 1

t l

ml trlult | ,^

1 2 2*'ut*

2 1 2^zuz

f f iu ' -* u '

fn22(u'-u1) .

2 2

m-tq'-v'.,) l2 )*(1)

"mz '{u2-z 2u2 ' )

.m.{u.-v .) -= f f i'2'Z-2' 1l 1 (u--v.Xu.+v.) 1

--=-(ur-v,,)

tv +u , '2 - u - ?Xv ', 'z '2, )

-- (" - ul

(2) ........

aldaou

nr:mungllurildu

Coilriranrrrltsu

u.'*n #inulr

nrli-rr-

1unrrufrrlrgu1n1?suulludnu{unl:grni hvrti:Tnq;n'lrulnmrrSc udqnrmura.i}J?n

f onuo(v .v )trrc:ldnilnrez nurrr do 12 {1}

= xPE Pnou.ilu , ila{t.tu =

+mU

(21

+mV

ur*vl

u r* v ,

lnshida.rls{mColuillsnnuaiusicvl{rrda{uills {+)unvnu(-}urqnrfififlront,ndaufi na.!{nqfi{fio.:u1i1u u5av ud?ttvturirlunlnrrf.:na.: uo-tt-lra9

etu* {nqlea 2 fiInniu irirsanur6r + tlntfiuT fi rd, tu{noil?a t fitnnil dadrn-r radoufrd.rsnmilr612rrntFurfi lillufr marrrdsrriurirnrmulrifi nr4rgrfi gilf.:{ru e t&va & a?1il r?raorrr nrTrdar ua"rtu rilu rrirl n q#rna.:6crflunmruuuudnutjunrqrni i rnarc#tqil Ei tr npJnrrtr.'r,ot:fo, I

d' d. 1

-O I

ruo{c1n ruunlr{u$uuflnuqus{ilurruLne't noutu

f-ua{lu

mu+mu

mv+inv

2l4l+1(21

2v +v

{1)

Lt,

I I

(1)

2v +v

(21

.>E, knrunu 1z1z

; f TlU t 1t

TEkiln{tu

ir nl* 1* u' 11 Z 2Z

* ; lTlU z 22

2 ^2 zv 1+ v2

Z(af + 1l2l-

^2 v tv.+ t2

c''rn(1);

10- 2v

unurir (3)'[u(2];

2v-,+ (10-2v)-

2 v 2 + 1 0 G 4 0 v+ + v l

lll

6v.r 1-.40v + 64

0 4,

8 3

.......... e) .........' t3)

nr:murrublruu

Canrirunrrfitnr -

u.?rn ftiinltlt

dsou rr

rh}

nilt-Jz--

2 kg v q;lvt']nil u- Llllfl v na{uognl1 u

nlfluto{tll'la

1111

v=7.m/ s 15

= 1 0 - zf$ f

ryturil v1 1u {$;

m/s

ur . = +

z filnnil finmur*lt HnrdoaurfiBnc$rnt ilnnil fin'rrrr6r d.rrfuufqnlfl[uil?n 14

a-a

tilnfnalu'l?r

a-l

?s?l 2

v unsv orqullfiqrn 12 'rc-

t1)

,-p,

*ru'ntru,

mv +rRv

noulu

'u6.iiu ?2

2(4)+ 1{2) =

2v +v lz

(2t

U +V

2v +v

U +V

4+v

" " " ' (1 )

2+v n

. . . .. . .(2 )

2ll

{1}- (2};

B-

B T 14 3

V= 1

UnS v=

m/s m/s

qsrfiulsi.ir dr rflunrmu sruilEnu{uarrgtnilurux rdunr{ diln1?ff[{lun1? .'i,

llnilCUU1Yhl1g nA

l. 2.

mu I

.' tt

+mu

u +v

+v 22

+ mV

af{qou

nr:nrungl!$ildu

iarnieanrrrttnr

u.?:il râ&#x201A;Źinilfu

rn?r--tl-

au{uelgmi'luuu*duntq rda{nqfrgnaua{d.r n,redu$uu6 hi{nqlrn m.mfiaufifrranctrrfuf,rfirtuicrqulnm^firaqjfi.:11uuu.rairuyrqutinnr.: r il' 2 ' I

nraud.rnrxu{nqmnrn finmxth i ror:.r.ln{'.rea.:uuudnutju it1 1 .2 2

d'od ro

nnvisrqrenm- finmurh il

o-o

-.l

/-,

.r^

f ""l \'/ \/

l zr \ -|..+ \-/

ua{mu

nouxu

1o nlrnuulrudau(uauytaidaiaqdqrfiurftragtt

til -A

. ru-

n'ltU'] v ltOJ v O'1Q14'] Ltltl{U

q1 n

tP noutl.l .

tPufi{lu ,

mU +mU 11 22

mV +mV 'l t 22

+m{0)

I l

u +v

V 2

+mV

2mu;-rnv

mv + mv

2mu

{ m+ m} v

1, 1

+ mv

2 2

2ml lu

oituu

rnIt nruqrnonld.ir mu

( 1 )+t2)

( 11

u +v U +V il

riT

mV +mV

C1n

+mv

l /=#

'c- 1 2

m + m

,dofi'r u, d1r.t1tnil1v,ldlrnnlnt +Y_ u ' ||22

u, +Y-

i1n Tnngrnq{il,tac,tilr6rudltuto{tr$8 A uncilra s tasldailnrt vl

2f,ru,

= *Jm,

nrh--lt-

tiia.:qtntflunrsuuuudnntiuluuulr{unfilas*, = 4 kg,ffi2= 2 kg,

iraflcdlcild

v ,.r = 6 m/s, u, = 0 d11l'l?O?11

?n v

q1n

2m1 tu

v= ,

un;v lfr

m+ m 12

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q1n

U1v 1;

U+V = l r 22

U +V

6+v =

0+8

v = r *r t I |

olt

eirtragrrrlua{fi1 ?{1*'r?nil"rv2 I Fr".tfu1un1r{uuuuEaudun:.ruenrluuu'rrd.untl -

I'qe{q

i uns v- Lo s'lndlln1t

2mu

m+#

t l a s u .,*v, = u r *v,

qlu rf,une.r(dru1nrutinart urn) uuufioruejuaru cqrldnr*nrsn,tr{uno.r{n gt efina{nqiigntuoqjiir qclri'd'I 't.il?ar,!1nduil?atfas(m, >mr)ufiitu{nqrftaa.rrndaufi'trlrnr.:rGarrYuTaelv?>vr (n,=o) rteuinqii 2. ltxnt?i.tfilrturTu(m.,=mr)"'4n-{{il{nqfird'iguuflnfis q{ nt r* ud u dltl tit u r'rrr16rrvir fi'untl x tâ&#x201A;Źt riaul uta I in qfi tu (v, =u1) " " 3. il?n lio st u il ?a il'l n ( m .12'<em^) udr t uin q fi tun vri'ou nn-uciI uin q fi q n t u a 4 Y 63 | e a .,i rr a A - .t n6a u frh-ltu uu ?t a g2nu nt r rute?nou{ uta {1 n nil ta1{ u

n1tfru uuulifr nueiv 6netasticcoiiision)

rf,unttuso.:i'nquffrpJr.rfinr*rJdsuuiln.l r,nrfin,rufioufifiBrrfulil nrnnrrflnno.r x

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122

a da ut( tv I v,X"*l n{?,'u ..l I ml tln; m2ma0utlnnfluliltllun']1]]lt'l d,ru1n4utinn1{ro.liltfffr6oqilr,rnn.l'runnturen IJ

uu' : 12v\

----->

-->

Arn \ ,/\,

nouxu gtJ

u6'.:tu 11 nt tsuffulat{nquuubifrautju

n1{aou

nr:ailraslr.l$ufrx

ilofirizsnrrfisu

rr?'r___E_

ltt'

l.-

l.r:n dinu'lr

Hnno{n1fdunulj tilaauqu n?1 -J

(1)

IPr,ur.r, Jl l

mU +mU 11

)

EPruio'

+mV

ter

$lO v =v =v Lnel 12

(21

+ mu .2

(m + m)v ' I

Ekudrlu

naulu

rri

{ il?n m raaouiln2sa21ilrf2 u ra1iuil2a m- d{?'l{ogft1 -1

q{ B6..3o a{'J1n1fiulruuuiln1f{q +- - ^^

t3lgila{t{tlucnu

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- 4 !- ,?ta''lsutcng

t l212k r ie u k u a {

l|, n JE

u* -f-*

t"=o

U1 E

knou kun.r qln

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t|a:

;mU + z 1 1

;l Tl U z. 22

.......... {1}

U 4fi1 a 11

k nou

1, .? ; ( I T l +m , V I 1 2

-E _ = ku8.r

........(2)

1,r'lv ; qlnnlnlroqinrflr ruud'l.r si -s;

Lt,

nou'lu

mV +mv

mu+0

(m + mlv 1

r'r

. .V

. u v t u ( 3)1 u (2 ; )

u8.ttr1J

mU+mU

mu tl

m. + m.. ,^

{mu}-

= i( m + m !- :L Ek uai. - 72. 2

tm+ml tz

kun.:

;l Tl U -

{--l

m+ m

(4) ...........

tu,

tfra.tl?n m <(m +n)IdhE '

au - <Ekfiau unntitfintnwdtlrr{,tr?uqnri y q u & e ea ta a {,u u aunl ra u ua 22a nn- n n u auu n1r qturf frfl n.tit?uan u ,

kiln;.t

l .e

nf{1 udrdilrJd.egiTu

tfir*--tO--

ru.r:neriinlll

ni{aau

nr:muragllmufr!

fornrirsnr:ti:su

4UlUaa

" n'ttqtna27tat2 an ula nlrlJLu n I

-v

S- - h- r - d

- - ,- o- +,g<-

t4,

--4

{'llJtlou t.ljt1,!lJou Inu rlttJut.lrlluu?n:J,rntyvt'l 6o ntrvr{nqNnr:l|'unu5oilFlnoonq']nnu .ui.w4

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tilurnrd.wrunnri rfiorlunrmyrfinfinrruJ6uugilndr.rrug'rJrir.r1 r,rnr?r1no{rr'td'.rgucnilriour;rfin si Ltt'l''l

IE knâ&#x201A;Źuf:rul .

str pt

kuR,{t!t!a

z dnuru:6o d'nurwtorn'ttt;rfio$unoontfi 1. n1ft:rfinuuurrsna"nclnfu nltt:rfrn'?JCI.:{nqnnururiinqn:uunoonslnfiuriiu nru'; niu oi'rilufirlnM qnflufiuram ud.:irqnfluri n. nrt3.rflu rfrilnrys{uun:fluaqjdrtrriu v noiludl nrrrr5r u ri'rflufinr1ilt51

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o*'

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1_vr4

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,4ia

n. nun:vlErnqrnGarfirnuiurn m oqjuuFo filfilrn v rfianuni:lnnooncln nrriltFt v rSodrgnmrtitv l;tnnouil nauuniorrfl lwq;.iev

<J__ u{lr:rior

rieur:r'iri v

nr noTr s dx nr rr; ri aruuu u,flnoone1nri'uldn r nr : dr fi sp Lt,

-sp -L '

nouttruo

ndlr:rirr

_ =

ltvrl rl \/r-v, +, ^InV

+ mv zt

mv = MV

nf&ou

nurrrrnslilutud'lr

ionrieunr:fim

u.'r:vrr#inult

xfir---tZ-

rdrnu:l'il?nmfiuoqjuuGo nlt6.rrird'.rtnr6oufi r. nunevlornqrnr6od.:rirdrrnfiaufi t q9O 1v t t 6. q?dds

v Yr''ltvltouFt.lllJtt?'v n?gn?1iltt?u $n?nunt;lnaoonc''rntton'l.rn1uuu1n'l!JnalNtt? mv

-_->

un.rt;rutl

nout:luo d

tlv,

lilonuntJ ltt0l'11nt?ou,n'] s J !Fr11

IP-

IP ,natl?:tuo

ua{tSrutl

(m+Mlu

mv + MV

mu+Mu-mv

m(u-v)+Mu

MV m{u-v) + Mu M

2. nrttttfiauuudrn'itnd Inunrsudrnrm:rfioriorqtT.:orjfirafiu nlrriru?run?''u*i? cttrta%1-j<r

ga{?f1qu'|ff3nau tunntvlgunililulnnlxu r

r.nnmo{fi{uufiorrnu rfiaerurfiudrsnmurir n. aurduilurEoi.:oqifir'hinufi v

c;d1'Lrir5€ rnnsufr'lufinfl1{ Flr{{'t il dr sn.tr il rir v 6

qel

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(v-V rfiorfisuri'ulnnd'r;u n?11+i?

rFua.!t;turl -

IP .n€ut:rln

m(v-V)+M{-V) 0

m(v-V)-MV

m{vj/}

mv-mV

{m+M}V

m +M

a. nurAuuurEad.rriT n-rradoudhinufirra r fiufiluuGolrau drfinrrrrF: u J,

rfionutllrhudeun'r1rlrr?v noq;rn?llJrit V a-r

n -*

udlr;rior

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nt{aou

. nffiilrasluruildl

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u.rrn dinulr

ufir--tg--

v nr r :rrir :lo.:6orflu v nr u l5rI o.rnrufidlri'vrf,ri'ufi ulnnqs

- dv d

flrujylnumuntgnttlrit 9

rvirri'uv + V d'.:riucrn sp

EPuattJiljrl

noutsruR (m+M)u = L.

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mu+Mu

mv+mV+MV

mu-mv+Mu =

{m+M)V

m(u-v)+Mu m+M

m(u-vliMu m+M \

dFa v ReJ.5{1snU nil?a 60 ilaniu

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m v + nl v 11 22

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-0.25m/s

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ud'10,1

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nouu.t

(m+mJu

. vaiun

0v e1

M V +M V 11 22

2000v + 10x50 1

-0.25m/s

fri fu fr't1luqzna au{t Fizsat t u ti z 0.2s w m Eia6ut fr

l.mn #infrll

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< l\

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.v1r

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I +-

olr .,tl' I ; I

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-sP -Lr

mu +mu

mV + mV 11 22

(m.+ m.)v

mu + 0

uantu

(m+M)v

(1) .........

6t v 6an.rrrrimoruvi.rlfud'.:qnqnilulu e

clnn0n,ltAqtnr{YlA{{t1U

-a (nnyl |'lvl.ltlJ)

rfis

EYI A 12

:mv 2 MU

mgh

',fh t

rilu1u (1)

(m+M)V29h

u, =(%yt\6. aqr-ftunreur nm ru16rr a r qnfl u rir fnm x g.: h t ol qw aTafi un'jl frqsu1n?1il t5?rto.: m,M riou 4nfluloiraatoraoTa.:f

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iornriuunrertsu

nl{asu

u.rrvrniinulr

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"iK--.-

l - tr

---r

E:__

----> m r---> I

D I

l0 cm

31nns nlsournlJtiluJu nll

sp -rF Lt,-ul

noutru

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mu +mu

{m +m}v

' l0

10 t, ,lm *"u

101v

l' l

u,* un 1c 6o u

s1 n n n n''l5au f n lJytn{{1 u *a

p(B)

k(A) a tt

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mgh

..,Dgh-

./2i10x0l =

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,lT

nvs"

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ntur{rIryurrufiou frolnrrurh

irnt-r;ficild

u, = 5oorn/s ---+

qL3

I I

nfir--214

e1nnl n,lfou?nr*[xlllu tllt

:,Fnouxu

:P_

uan.!u

(m +m )v

+MU MU 'l 1 . 22

1ft tsoot*o

, ---gt

tooo

, ln\ ., v ?rv'

10.010

5000

m/s

c,lnn0n,]taq?nufia{{1u E

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ta la

mgh

;ffi V I

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lzl

2x1O

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r\-t

| ;2 l-l''s vl

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i A lD-+ vasu qlnnsrnfoufnELiltrunil

tPnoutu .

rnu+mu

r l CA

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ffiV

= frtb (100) +5v,

:#(400) + 0 tlltlll

= 3 m/ s

cln n3 n1rarlin {nn'l.nu (6ard uYi.rlf} E.

c L

k{A}

P(Bl

t2 nm V

moh

h h

ilt iu ih uni tiult-fl dgt rga o.t s

LXn,

0.45 m

(3)2 2x10

nr:rnruashruudu

fonriaanr':riau

nl{aou

r.r:yr dinulr

n#-t__zz-

6 n'lrnulu 2 fiA tflunrmuta.rinqluuurlridruln6udnn'xro.rlrn riTtffinvrT.rntn6oudm.r{crqlrio{ '3 ruu luuultdunr.:rfis'Jfi'u r?snnriludno*rd.i.nretulucorifi 6.ruil.:dnuruynrrru1fi (su1ur fifit rufiaunrmuluuurrfrunN nltauuuudaududu:rpni 1 A y.

n. tllall?afl {fl a{nour?t1nu

riruuntfilrnmfinrrl.rr5r u' t{rlul.rrnm6nfiauufi.r 6.:oqjil.r'luuurtridrulor4udnnr.r rirhilrnr?.r6o.:usnoonmnfi'urirrlr ro.:N?n e fin,rrilrir? unvi nrmhd'ud'.:nl 1z '12-e-

O*--o ua.:tu

riau:l''r

tz n'tnufiuuuudau(uttuyniTu z firt tioumdviu

,Jn?e{n"rrtrucvld.ir J

IP ,ntu!tJ JJ

m U + mU 1t 22

-J

tP-'uff.t1u

mv +mv

t l

v +v

l2 22

v_+v.+rvvcosu .

ut.I=

tF= --tqiou.lu ttl,

;rTtu* I

t 1

(ll = 121tfr.jr

I^mu' 22 ? ur =

. . .....{1}

I,Etun{tu 1z1z

;m v + : tTlV t 11 Z 22 tz

:V r,z +

2vv cos' =

{ 2} ' ....' ...

cos0 = 900

uuufinueiufril{?nituuurlriai'ru1nC.M. s?"rurarri"rriluiurTu #oaqrJdaldrqld'ir r dut' eco $nrilen1ndua qifr.: UA1d uile n rmdolqs ugnaa nq1n nuil'lllt tl 9o tdtJo

rtra?i'{ fio.rc3usnaonq'lnfi'ul*irfluqil?1n m1 1rndaufid?snrrur5? ri.ruuarlfix?n d r{rtuurn m^ iuqjft luuutlridTulnc.n,|. a $fiJ B li'utturntrndaufirdrltal{1 frrEnrfllJlS'lq m^runaoncrnri'uri'r4l ri.rlfil.pnm.uni ' ""' - - "' - i- ' I I z

o.rs unv! d'.rgrJ . (' .,l * -

--l 1 IM'

\_-/

nogau

7tJ

m,, t3 utletnnll"dultanuaa 1

n, uuuinutlunu4rilu z fifr {m,* nr)

Conrirsnrrrldfr

nrrruffislilrullfix

or#rou

u.rrn #EnilI!

rfir--:3-

nlt'tl v uns u rirld Zi6 12 aqai- ( \ J aec ' |

? 6 1 41

tagnrtusnmE lurilum\l 11

rra c mil

IP.

noutu

m U + mU 1 .1

IP un!l,t|

mv-1, +mv

2 2

mv +mv

mrt

I I

crftfiilnrtliluJud'iltrt{n.t'jr m-?* nrj^ = m.t uSaneimdnuuuld.jr mi11 s{l:Jrrnusn l 't t 1 22

.l,6tilu un: m-il- orI tu d'nn1?ru nr.]nrneiuuulild'l ar nld'.jr m-[ 11 iagq

m u sinB

Drvr=ffi) $nJ

(1)

ml ul srno( frzYz

""""' (21

sin(a + B;

flryuraqifisinto.llil(a+p)'[uur.rr,i.rrrrtrinrrrrnurrirldirulrfnr:iusin7b",sin.t05o

ruunu aqd

aJ iEfr z nlrulllJrNusr'udlryflurLulm u1ltnrluuurd'{ernfiil ffi, u, r J!

c'l nn0 m ro rlindll r'.|uoiil

noulu

unitlr

M U +M U r 'l 22

mv +mv

Frqsa'u{sn1r$Jnr?nmofra{ mit l uru m2i2 hfodluuilerulu uns#.rmnriuuu,l r 1i 1 r iiipJ e.t a .9

fiqtrurtuuulrT{qlnrTu ml tlf, nu.ir {

m .vsina = 11

d":riu

mvsin0 22

.....( 1 )

fiqtrurlu$u?nu1urTilm i tt AJ- "-

ffiu

rnlvtco$a+ mrv cosF =

11 1'l

| 4 Aflntnlruunnnma{

c1n (11un; (2)firi.*.,, ffi2,ul, a,p firqrrlrtnul vr rrnv v, ld

mUU

""' l2'l

nt{aou

nr'|lrnalutr|udu

iourilgnufisu

r.r:n #jnulr

nfir-z--

r$.10 ennnrrurnlyirriuz gn A uac e Inagn a i.rr{rruen B d.:ogifi.:luuurlrieirulor 6udnnr.rrh1f3na n*rfiurda{rlqrnsuthltflurpr o0" riau{uennnilA iinmlrEr t o rrnr6urfi rn;1flunrrtuuuu6nu{ueuXtniud.rtuSnnail A unc e ccfin'?ril rEr rvirla unvfrrtnxnrrmdaufira{ irat,rcficild A unvB t. riaugrJuna{n'lfiu =m udraumua: m rndaufi#.ra'rnri'u 2.mABAB qtai

3. n1t[n:Jruu1lxefinltuunt']nHot

AA J

f- o

MU AA --A>

mv 8B

rPnautu

> Pila{tu

m v sin60"

m v sin30o

c1nnSn'l?arlin fi rurilu er-rl t

mpot nuuu.:d'{qrnfi'u

v = -- B

YJ ..

2e B

rluuurrutufrumouo]

Irvlutl) '[u (2]

movcos60 " + mrvrcos30 "

Vr*A-a 228

(1 )

rFv A

$1-

+ {-gv^

.""..".". Ql

A .B

v i3v AA

=5m ls

uuuritvAB'lu il)

m/s

5',/3

-& <.t ill.Jua{'ttugnnna A uaz g fialnrlFt s Lnaâ&#x201A;Źnu1fi uac s{Twntfrutfi

mxdtau

ern{a 70olcu'l ? rinvil ld6nuuu AQ

rqrJ

n1nn13[flnt']nmo? m u lljl.l m v l[nJ m v

ld'j, .m v

Uni mv 8B

V= B

m U COS60" AA

' l0 x A

_ 5 m/ s

m u sin60" AA

.JT' 10 'i

= 5.'f3m/s

nt{aou

nlrfl$nslrrnlud

iourirsnr:fisil

r.r:n #inulr

nfir--el-

t fintur6r zoorusre6urfitutrraqnra.:rirrsi'rdz drrdloqjii.r RU#lrrrnqatorrirdor-rn' ua;ii rra rvirn-unr aun-rnrrtull rnqnfr fr 1 tuuaancrnrrurr6u 37" qrurdnn 16'l s.&v

?toit!il ta nSlYt{fia{n'lrJun{n1f{u I

a. iC|J v qC- At

2[n51cilLCyrfl

7r n'r?[nuruy'r lc?irjr,1.uJoufl0

. i

= 200 rn/s

@-o"' c,lnn'lfL[gnt2nrqof V

L,!COS37o

u sin37"

200x !

160 m/s

flO m /s

n{uu aaf,$2?ta.rtr,rnnd"a { n1rwift * ti'triu 160 unc 120 w nrdainfi

a1,aitn?u

n1?durudri6nurlu lfilnn m-rndaudd"ranmilt5.l t rfirtu il?n m.d.:rndoudd.ranmlrir{ltruu.lnirpr n-).rl22

e siafiuudrturTunfiril?nf{r{a{rm6oufrdnriu1ild'iXrJ I s d'ctra.:urrh? tm +m il

.1 2

r'f, ll

\c'.', t5 ufrasnlrruuuuhldau(uluz frfr N

^----,-

g' ttr

lnnnarnfou?nr,Lil$tunil r . Ehd ,.SJ

"sp ii

Fu*oru

-riouru J.J

mu +mu I I

il6o 1r . '

(m.+m-iv 12

tfraf, m ., ftt^,fr i- uas e -, tz l -2

(mr+mrli

mijffi fratlinnut n ld

nl{asu

nr:tuunslnuudl

ionriesnrrliuu

r.l.ern#inult

r'rfir--26--

nrta;rfia uEanrthanr s r{ru usin:r{rufiu'tnmr m2$n! m3et'lu tri{nqlrn m tfila{fi.: ud':r;rfinuunoontflu unvi-3 n'rud,6'ud'lpJ nld'u unvfin't1il#?{,i'1' 2 22

)"ry q" \3

td ntnvtfraluz fifr

aqi

q1nn0n15oqfnnlilrilunil J

LI,LI

ntursrun

un{tgtutl

m i+ m i*m i

-mv

{{ mv + mv

*ru,

uin

t 1 11

3 '3

{{n"l,v,l'+(mrvr}2+2(m,v,Xmrvr}cos0 t

ffirVr =

uio

v (mJl +{%ve) +zrrr[vr)(,W] "*p

ffi^ffi

rdof,n,,rTr2, rns,0, F, a unrfrirv z n1fi1il1rnu1 v firudold

"1"

v4rdva g dru eolittriiilrnrrirfUh?gqrsu"nfrr.n un?rcrunCIanLflu flU.12ilesnouuu{'r1{rogu{r 4vuavct-q..14

ifuriuunm-uuncfid'nrlr6r 40rr ntFurfi drufi (1il fi il?n z .wirtacu?ndo{Crurrrn ucincdtucqurdnfl r6rlorCruda,tiln,tsiln-{nrotcrfi ariufi trnncdtqild

du t' = ft, = ffi,ryr.= 2m rduuXrJuga.rnrm:tin ,ni

I z+^\

-.."'

t\ ( /_>

/.'-t\/

riognrt:ria

A ni

c'rnnnnlro qindl$ wu 6'il J

5.p

n0u?v.uo

1|A{fit1rt JJ

mv+mv+mv 'r I

33 ?2

40 mff

2mv

28.28

t a7u un1aun \rn?rrsr u af,2un gl- tJa a an t*l za.zI w n t eiai ut fi

m/s

l.r:n #inult

q{cau

nuiltmslrlruildu

Conrhanr:r?su

frc m) 7 ma,r,daudsasqaeudnatw2a :;-

n1/1.--Zl--

I ; -i qcfin,rrndaufifr'ls -. siruflnrnur{unal{nqfr yrqufnnrlil.ln{c.M.} rfioinqilntradaufi c;finmrndauddraf- n.rdv?lriouunandltu yr6udnnl{il?n(c.tvt.} lrin'rrt.rn,rsr.anu.duo{ar T -14sulldc'l nnnn raqinrilr.nr.rud':.r )

-IP:i'lruu jJJJJ

(..,1 m +m lv ,,,.2.cm

LP, - fiautu

IP^-=---. un{{u

mu+mu

mv + m, v

mu+rn-u ' . ' 1- l' . . ' 2- 2

-r Y_

m+m r. z

SE P

n{lru

Y".

rfio i"." (-r

Lp t.av' -

, + -,ar mv + mv

.22

m+m 7 2

n0n?']ut'?lfi lto{?yuu

6oarallruso.llruu.ruoTr"r riousuu1oud{ru n0l.lAt'JlJflO.1il?nenqil{tYUU

fonriasnrtfisu

n$su$nelrr$ud'r

nedaou@

nrlr__:g__

ruurif,lnrio#asnret u uasll.rruu fi'H

1, rlrfnqlm 0.sfitnnfu #uluuurdricrianilt& 20untdaiurfi rionarcirutJ s 2u1vr q{u1

o srl y

n. $lrilunilttilnu

r. turrufrirlnrira

n.Iulufldujdsultl

z. t{rlqnuan 0.2fiTnnirr#rsnmilrE}t0 ulnrdoiurfr luuura;rTurdrturitrn.:"lu a ta . frad'.:srnlTud'runrudracfaundusanrr'tuuurt6ili.:Ernnurh totunsrdaturficrur n.tlrxufririsugun:1ulnr.r t.Iluu#r.rudrturirunrq n. nlsanra{rnnuan

nrrrrunslilrrlildrl

ionrirangrisil

r.l.r:r'r#inuh

fq{aau

ufir-:g-

g. iiltrirn;gnuanilrn0.s fila,nirrrirtignuou,^^toudd"edat'lt6r20 trntdoEurfr rd.rtuaheu-fluuul #oo.n udrcc?iaunfuaanxrluuurtfiu rirsdnntfe 2a ru n$ifr ur ft trir riu ri"rgnuan nfi fl url'l alfqu,llr 0.05 i u-rfi Q{tu1 n. n,lfnntatQnuoa giruan

r. utrtqdsd elrnfin*iirda

/+. l{?rn Rt{quytrd3nrtufiail.ta200nix dri'i4".:nasrdiurd'rtoa'luuuracriueirsnmrutEr 40 rilarnu1yt !ui2{t?a'l 25 rlnsAurfi 'trificd'aunnYuhJluUUrlatsirgnr.|urir A

)

lrl

- .Ei

?uTfi c{u1u:{tanrodazolgntuufi< 0.002

oanqrnviodndrfifrudurirfi'nzxtoâ&#x201A;Źurn: t firaaml 16r+otrtneAurfi rdrn$nu e rhr.fu riTlifirlrnfirfiundu "fos.n riruuatirir 1 su.$rnr fiun to3fitanil drarrftluut

crn'luraruTur.rditrrfrnesiludaslrflli.r

ur?r--jo"6. rJn'aaqnuonil?n o.+filnnir nTndg.:5 tilnt nnal'luuurhr n*nufruu'ru o.oz iurfi rlnng'irenilannâ&#x201A;Źsnat n*tgo 3.2tilnt c{u1 n. nlfanao{anuaa {

_ c|

a. u5{nnilnfcillnonnuan

17.:JrSnuaao.z filnnil rhrll 30" n"uniunlriranerur6rtO rltsras{oiuT fi lnelilfi nrrarurfiernrmu qrurlutuuolrdrildsuliltaI4nuaa'|,unlttudruns q' q

g. Snrvruia.iilrn 0.2fiInnfl radut fidrantliltF? 20 tlntfiurfi rdsfiairslflytufie ilnng.irqnrmufierndoudfr.u"r.urFr co rlnt6urfi rirql oo "d'.rgiiq{u1tu1R ao{n1?na

n.r:flrnslrl$udil

Cornirsnr:tisil

at{cau

Lr:n nâ&#x201A;Źinull

nfir--:1*-

2c tun:Eurfi rirfiur{ 9. {nqma I fiIanir.rrirn-lrndaudkJvrrrfinrufiarirsamrrir nrdnndrnainqduru 0.5iurfi riTlri{nqfi arur6r gz $nsFurfi 'lufi aErc{uaan t

a{u1 n) auleaa.rtt ruudld rrln'sulil ..e

--,1

a) uâ&#x201A;Ź{vtn?cyl,lnalnQ

10,fiutln$vrhn'o{nqudrn-rgrl ludc*rnediiutontlriruou qsrirlfiltlun-utal{nq

rdn{sulilrdr1a

q{tu,tnlsanuasut{laa 11.inqa-uuiilgnuelnac?ir fiaetrdlfudrYutrned'.lnsrv{ F{N}

t il

r00 50

0.2 0.3 0.4

ienda?rmrriuil

nr:ilu$aslu$ilfti

ntr{cou

l.r:n riiistillt

mfi---la-

:.zinqlrn s filnn*r fiundnddfirurauldsuurlnrnunmfiflmlldueaqrirlffinq t = o {cofinmlr€r to untFu, iilu ndaudtasfiamur*lriasd riorca'rrCrrdu -a a u u a ltill1{lttglnuuf{ailo e d u i --

q{u'l

n. On€1tf2l0{tlnQl1l0tz81

t = 4 ?U'lll

$. ail'lar€larurirrdoccnr t.= 1iurfi

14. ennnflduealutlrfiaqcrniauiltn t fiIaniii n*nuriulTrnr{ fizaae,rilrfrtilcnfi?tu

I runrf urfi fiou$n&naunfudra amilrfr wirlr flrotr-0

nr:m*rag1xntilf,'lt

iarrironrrrluu

rl.r:n d?inull

lt{cou

1rrlr--gl-

eruntfiurfit{rtumn o filnnil dor"dauilirurn{u rt. 1rn ro fitnni1lndaudd.uamrrrfr uur rdunrr rdsr ffu Firs arr u 16rs ril nr/au1fi rir ilc nil'l coltu#u uu uG!nu {uart gmi agv-e

q{tu'l n"1il t5?ta.: il?t{llildo.: ila{!unu

t. mnpJnl:suriauun;udltu 2. ritauarfrrtvrl{to{iun;idrflr6a.:uil1s ( + ) , ( - )

irnttdtsrnf

-5m/s

2 nls --E

vv IL

nouSu

B il2n Z filnni* 15. iaq A *n c fitnni, ,^daudfran.r,rilrâ&#x201A;Ź-l 6 tilnffiu.rfirdrmr{aq dro'qjii$uuuldun:l sT,lnrr-.,r:rrfluuuudau{urllr4:nlqluraflurFrun'rtulo{il'ln rrtudlto':in q n d trJdsulil ,t'o"uoot "u{l (+)'t-l trnpJn.r:tu ilSoilr?{ritaunfinvnrnrrndaufifrtflrn?o{uurs iraflcfiqyrd ir'

6 rn6 4

oo riaulu

ir-+

u=0

. uo{{u

l'oilriaunrrduu

nl:rryunrluruilelil

nt{aou@

urlr__:E_

16.{nq A mduurtirsn'ilr6r ro .'nrfi*fi rd"rru{nq e d.:a{ii.r1 luuurd.ru tr"ntiortaluuuiiau{uaqaniq{ru1a?-.il,Smoi"ql:lu" ln6udnnr'ttao erdo1uriu tila

n. t.m

rn : 4 filnnirl.m, = t filnnix A A

n.m A

=4 frTnnil,m, =+fitanfn -1fiInnit,m,

= cfiln n in

.x?.{nqxrfr2m,acauddraar$r6-rv rf,.uurrn 3md.:aqiii.rl tuuurairulngu,dnnr.: urarf.raor ta slli fi nr:g rgrflarf.x,ts q{u.r n. ar, ur6rsaorr.urfoaurud.:tu !. Trurrrudrtatil?nem dnJdaulrl

nunlrnglil$Jildu

iornri:snr:risu

fif{aou-

u'rtil r6inilIt

nfir---u-

tO wsrt/iurfi rdrtu'rn g filaniu d'ra{ii': fg. {nq,en z filnni* ,udurrdoi"aa'*61 qau.n?,.rtlr6rtatltc '[uur.regiruln6urinn'*rrauf.tguinqfi'rao'"odu'dfi'riulil

,toauoru"oturiu irnflcficfl6

u, = u, = u rrrrfl*nownr:'rulo'l{nqudltu{nqfiorri'uhJ

i, = rOmls

__+

19. ?nu5,f4n1ca 6Q00 kg ,odurdui"aa11ill6?

15 m/s rdr1utnlns(T

f11?a 4O00 kg

d.r,"dor.crurarrrdr s nr'rx61 20 m/s luuurrdun:lrdsrli'u ud{tu rlmngdrm rf.ica.rharTulilq.:urnmlt6rudstrrouoro"t'oo{uo ntufirlrguTrufiou{ago ira:rcJilqil?i 20 m/s

iourirsnrarlsu

nrlu$aslilflildu

nl{aau

l,::n niYnull

urh-:6--

zo. 1nilu{?a 40nil gn0.:aonhfluuurt:fuiinr.rilrFreoorlErrAurfirdrruuvi.:trilra to filnnil ior.riluudu udrrn"qairuuri.rlfoanhJu"ufivr-u'lor ri.rlriuvirtrifinmrufr z trlgtrA ur fi qr ur nmur,6r, unflu r,davr=nri.ru uvi.rhiaonlil "o irnn;fiqvrd rrngrJnrrtu6rrflun,rrsuuuu'irifioru{u f,.1= aoonvs

v =2ml s 2

ur=0

--â&#x201A;Ź

rrirsulln o fitanYl dricaruwl'r 10urqrr/iu"rfi zx,. urn 4 filanil r,nduuddrsnrlllrE? lrpira nmil16?b rilnanulfi tuuurriruq a6udnnlitil?arJarngdrltafi<a.:fi nr{uLl citul aV

n. n?1ilt?laa{il2nrn{t6{0{

t. fi d{l.ruqnridu,tahft unrtru sz irancritcyrd nrluirlrgurtqvrtirufioufra l0 m,b --r)

5m/s <-

O G f i)

fafirirsnr:rlsu

nr:lnruaellnrudl,

q{aou

r.r:n siinu'h

22.. inqlea to fitanil rndotrddtsar'rilt6r s rlntFurfi nraud-inrrdur?n t o filnnil a{i.rrlur n. arur6run"qtruroril?a 15 filn nin

nrh__:z_

t{'"rturnn ts fiTenil

a. udwurnrirdd gr urjnuialria dr$s irnflcdlqfld

nturirlrgurrufiou{agg

dr=u'**

u =0

v=0 t

--+

L!, atatruufi.:firtn so filanir.rfiuaqiuurirr?or.rra zs fiInnt"l rirtrunudrftn-rnqlr rir anr''lil 16?o ruarn ur fi qr ur nm r.rrF:t oI t?aun-{q'tnd. uut d4od'"uotL irnercfiqild nr:urificguTrufiou{o++ .'

v , =6 r n ^

,*<;^-+

roanrirsRrrdilsu

nr:ryuasluruild'rl

nâ&#x201A;Ź{sail@

nrlr_3g__

2+. i'lsnuudoil.a oofilnnil a-ua{uudadau+ofilnnir ii.:nha.rrndauddrsa'ilr6r 3 tilolt6urfi cirtrtJnudoia.rnrttidarntouuqnr rrrq;oio.:nr;lanoanqrnrnacir.rlr A. t ial

r t n f l cu l q i l u 'ro rp i u n a .rn r*ndoufilaldar dour r nynu

25. tlsFtuufr'rrrn oo frTaniu filaniu fiuoeiuurEotna fiuoeiuuGotna ao filanil d.rrird{udurirsnnilrEr d.rrird{udurirsnn il rEr c { luqtfiurfi truuuduunr6ucrn#raGalils"{frGaoiranrT r16rz u.rorr6urfi(rfiEIur;u {-E34Aa

t50) q{u'] a?1iltt??to{t'a?ruy{'lgnuuoon tnu 3-,

.rt

2tnflsu[quEJ

)

-/ tltuu?lln''lflF]a0uyllJ0.lf]uttn;t?a

.,&

nButttu

u = 4 rv s _____)

g ----> t v + 2 )

, ____+\

tru:rhu

z0' tlu'luqil?n 2000filnnil #oltitj.nnt;uanTjuri'lilrJ 60" ri'uuu.rnu*dr].:nnilu*la lo fitnniil aonhjritsntrr16r too rrnr/iurfi asrnntru,ird'rflu"",ofiurfinosun-.r rirenmilrFrrvi.r'[pr irnn:fiqvrd'trnril*nF,.:nrrfi.rflu'luqj udrfirrrur Trruurir'luuurryoyu vr srn 6e9

Wu''o'53'

ftI{sou

nutfl$nrlxflildrr

ilourirunrrfiuu

r.fin riiinillt

nfir-jg-

nniraanhJirsnrur6r tooo rlnt/iurfi rdrluuvi.rlriu.uz filn niu du.lru'[uuurfir rlerngdrqnflunvqriruuvi.rlfaanhl trufi lerguvi.:hiqc nTlufrta"qaancrnuvi.tlf n 20rdudtr nt i {u1nT1}irErto.ra und.rduliq{tcr

27. 4nflultn 20 nil

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