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Fe"^rt{n o"r I = Gmrm-
iFeo"t{"onrnr =i6m.rvt.' ' Fo,-*t a* rr = 51ot-l -> lhrS €ur-oe ts
ii-F..{{.^ron.n=51O1-1 ">1l4nrSGo,.l.,p
#ilil-"r*..g *. !*;";*"**
i

;, qs ide qx)uld <q"c*'14!
:

g1{q rdtGok$)
tr* eE-4*.s
,Eb-.:Stf?
' i ,

7

11rJ =,m:$.o.,h

_ Gltlrnsrmflrvroorganl.m; =
r=-[]
:U G^ 'H tt.1o€Y.1
riii
;

J-.'c,t't -
)I
K*oo."

3= - obiec,b e.Jr drBtc^nJr
RJT
c+ lhfs drtftrnd ,/
L> crnteeS uJiFh /;* ,

frr"- ftr,il txrrle-rc.lbn ,

'{1le siae oF q shoud
J

Al
-Jb I

l

{q'r l

'lh" "Q fr:CGS
ti
t, :.

i

"-.ilVz
- i-
I

.t.---
i

I

'
-|---i'
l, -l--*'
iil --
-i I -r-
itl
---.- i---i--

i+d

l-i-
it

I
I
I
i

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i--
I

dono!*@,
:

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t-' i i,;i:
: Rok^hfcnot rnohicrfr: Oblecr) fot:ahesloil"*

.

M $ i*y4
I

:
i

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, ,_

i

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I
i

r1i

'

Ur'flrrn ,{lshhirhcd , lt{rrh'on oP e Ktn,a zuf ,

./ trrE; o*rnE llnou"tq-r
,z-veloeitq uJ ;- 'r
-
r cs
Yne, t"J ha'e'l ,fa 1..;e-S
fi<rr cr :t-ifn€ rnFervcl) A
2 pointS ori fhe vJhtgl t'i
lulrn wir"u3 |the.i Sqfn9
i
--</ qnte tO, *O. Oven rh
t{nl-ir' I

: d,e$Lnces (") From the crxfs ;
- i yh loe clfF6<rent
i

, ,

,hin$*lor disgtc,lemerrl oF crnq pp,nt on fhe rvhee A0 =$ at
. l1ne Sgeect of gnq porh'de rn t-he Wheel is V=ti.r
Pqrhclel .centrilce.ir,-i occEle"rcLhton,r Ct =t^lzr I

Ant,r,g.r 'ft4-e.,efOtron :( = H r<'1)'/r2-
hnXUC^r 'ft4e.,efOtrOn ,d.:
-at '<Lu'/E-L
iA9,J= k)$-loJi ctr,,.rlnci th.l f-i** fnref,vc$ r
i,

: Atd = t tcO i rtWi^l Fhe-, h:rng f nreivcA ,
to - i
; I
l

i ScLr^r<- c:rs C,tx * * ]i.. Ltne<"r- Occe)eYa-h'on - AV
ri
r'Si tc}C
. Ii'taa ,lI lhe . engulcrr ai"rbcrîr']rrh a r 5 te. scrrne-
,--,. c L r'l<e. d, |-h'o ir.n,l.r,r[e"- ol,ccelerohbn d r< L-lê iII -..ô
i l

"4,to
l
1,^t:Ii|I i
I i
For 9n*.1 poto,r- or a. rohrlnr'n1 figicl bod.n :

- i

BnXuler cgeJerc,,tr'on for 4. go-ftr$e in r6$rl-rii$unnn
:

-i
I
:(,trcrÎc'- rnotion I
i
i i

iiir|,i;.jiiiii:iiiir

Rngrrter

si I

-l :i,i
lirl
i

:rli
c-rt gonsFrrn +
i

Djnglo-c,e-r-,e,-,i'tV
ii
Aoggtcrr o
fi*,*o

: - _fr.
ri
ll.lt.i:

perlperroi<+ref q
}e rclFlioit ih1

ir
isi $itjt</
qJl q

. i. L

rl
!i
-l.'-i'

ir
1i
l

il
I

ii
ll
ri
.t i
il

:i
W hd e- tq*t.r.
i
i
ll
->r
wl
li
,t

pivoV: rnri

oUlSc* r S

Hcr
iiti i,

u> CoSe. r€-c..<*d
rii irii
trr cente-r: , qa je++si rrF.c'{ +&l
surfgcg o4 ![e- <4rr+
: | 1-';,
; l-t1"
i
dss,inHc-titU t'delrHScrJl

i,tt
'i obie+t.6j lhrot"rn i
UI
Tlne- wrot-ron oF
I r'i
ip*t"qXF l-qh,o',
tl

i ,r.*'r n*n* ,u , : i i'-rt
. . ".. ]r+t A,
' , ' '
,

,1 a, F.*^,ao- 1-1^. pc.rttqlo's. tgJ f" 4}nirq
i i*.*.oeq-tF);,.--B;f c?.' ;
i- r ,Ii i ,,r
ffi*Hlf"ffir*s'
:

[ :tffi*.,oa r .e ransrhr
lffi'l*"n*;:*'',/;,',
; ': : . , i i :
(Ar = rY cccorcl,i -1,gc'Vo$Pglv,t|e- '
t6 ge,.4lr:n:s rl" usp.^r
I

p
;'t-e-drc^ndcte are-]te.fot4 bY Ot=or,so d*ra* "ti , i ,
I o( =*+
1

. kR.d 16 forr*'O Lhe- }or1i.re- exert.a b1 r(rvre ?e,xe.hs no torlb"q btc ils o,*.orong r+,,
: i.*I"l t,*)- ei.
F'
'"'l ! lo ;r*.r.'r ttl'l ,1 e-xerrs h'q*s '
i i lT=riF
-l=*., - '-;-
: 'WitsI,^, t-hiS reo,k'ron bt^; F.*r"li f i i
ii
i
L.a"!
i. *J; c^4 erngu.r o*r"'c'hon ;i .
. '

, *.*bns Z"ol Lo",.,*r Fo; R."u^tilor..ol HoFron i , i ' ;

3, p6-rH<^ltt'6o'FrodtluSfi, . ' i i '
rt<-;.d-,nXt1 : I : i
,

t? ro-i"drra56-e(ss'fYl tor<1ueIq.bo9"t I
:
r- i * I -, These For<cs e^e+ q- n<-v
:

.l^ti,;;l;,I-**f;-] ;
ii-l*;;6;;.;-*dl'-*.;'];t-.".i
:

)*-I"-lL.
| . , (!:*,n1.^-;,.il*"l-;i
,

'Y
, Fa ' , tslc el thg

uP ctbie4]
i.t ,t- rot+H^el:elq
eo;tHo,reS t1[rci-Y nlroLce-
1'o.rhtc-e- hcts
!ine-
the Scrrn d
,

:
i *
lr=f''r itl* ' i .
,

I , :,r=*.ntio,.i.:Mar6'rti .fn**=l ",t*tfrf ,

f = ZmiriL I l"lorn€/nh' 4,[ jrnerhtc^.i oT ,q:csr..rt-r'.r, .oF. gortt r.S
i ' ' (.uttihs=
, L'
*a'-' Tn"Sj
pr4oloorti*<r,f ,c-pnsunt Uito , c icnd
; 11ne- .

i lDe.pendSonlhecxfsot:rot<*h,io". , ; : ; : ;
;
,

Nerrltoni z"A rr^1^r $-s. rok+bron li i i |
.^; ;or"* *"t *;d;J li |orq,*e '

, . tr.noe-rqoeslcf,crnSrrtS'.r,cta.*le"q,.5bn .q.t c.^.bor...|, *',", **rF oF rc,|ir+,o
.
^* o(,3Igg! , I r i i : :

t^lhere I ,'s lhQ ,mor",e-nf o$ rineth'gr, , iI
; ,.;i '
I i etrh4r ia.r*s . ' i i
.
.

loiltrou."t-rtll'.*.+.t"i*xis] 1-'
', "i+
m,.. -;h.r.;-.,-
I
i

*q*" ,t"*[.=jO. i,l-,., .u1..r ]nor i I ,

_i,,,,r,ii,.,ji,;i;i
tlir
i;:ii,.iiiii;ii;,i,irlri

-l

i
i

I

I

1

R C) hc^h'o

ii
Q: O c+rnrr
Mr-.1.6k5

ll
Jl
I

Nq-t

r i-'- i
^1- gots^-b4s
i

r krn cR iq".

l
3 H _Li
i
-l
liz
I I

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I

--l-
i

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i
I

,-,1-
1
i
__l -._
l

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- _i-
i

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-f
*'t-
I

. -t -
I

I

- t-
I

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'- i'
I

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. rl,rJ*ite
" ,Solve

L='2-5rn
li

7 ti

-A 3.O-m-lor5 tcrclcle.r <c^ns er6e.r'nalr cr- frrth'cnless t^ntt
fhin. Vqlve Of ,..,1s t{ncrt r.;1ilt grerrerrt the- lcdele.r Srrn
Atr^=Yle-ts=O,
z-
<- i't^
z'=Y,-W= i I i

'./r c-cr.hcf o$ n.= f,(jcq€
ft- ,t*ifr{Pot }* i
3 -,tFi.'F..l* , u,sqJ-'ao'
Tr"$gqg $+-.1
;

rlrtn'ie"RLl{T .fs= s.
-;a> I fi,.;,f "F* €l.,*$!
r'!
i '
zl?'hLo- ,

-{. -s,r}r'<- fri.tr'on
'T P:ti::>
thgp,^'"t
I
i

I

I

I
I
l

{3c*e. ot Suggorft l-lrre e^recr Lcllto Hne- por'ntS it- woud, I!! voh l

eignf5 t:n eitheq clfrechbn crn
tre-rt- fs'no Trt c-1,
o) c-) 6 6hqht
A efr;<*6r nvda€
*ttt Cend';to
gitt e.r, *9*1

E
F-tl
Bc.se.
oF a,r+Rart
Ve-)rtc-e .z.JF
l

j..-- cr{lr'ecil
j"f q.nqer

tc,v,

olecl
:l
ffJI
li
69
ll

1i
Ir
tl
i

' * -d;inte;;{
tlr-
*
i 8ore, d tuPP*r I
over |he t
is sftr$tq
i
ri
t- * 'i
tl

li

7 I

i illh,s
_+,

, , I
''
x8cr:hrerghito Fsh. ,, i
i , i i j

-6ccde 3 sPrr'n3 conne.ciecl 'lo 'lfrre cei!n6. Sprfng's equilibrium lcrrgth ts 3o1.
c, q.o kt- f,*, is 6usp€nd".t fit1 +he,
Ldhen of fhei 6prin3, i{- a}re}cheq,
t o, k4gfh "i 42ew-r "Ji
+
c) Vthatb lR- €griq eorrstant l( 6r H.'is Gprint -n-
AX=L-L. '
AX= L- Lo Gp = -- i r
t-s?=-W :
K=EF/Ax ,
1q= Hp,zax ,J E 4.
Ax= 9,2cm -Socrrn w= 16.3 t<=,311t2o,,.-
AX= l2cm -- o.r2 nn w= t!r.;<qx1.t-l$ k = gjZC.-r .rr 6164,u7- J
' W=Fsp=at.Z*
D rf .-' [.:5 [ev, frow, the sprinS, urhot,i rn+sE-rs"-"'l''o
ffiffiSj}Al*
be*he lenql-hof f{.1 g,.p'i$r? ,
"issusperrt-ed i i r' : , i
'The reslrunhj forcn (= t ilo *ognn o# lln frtD r's proporhronoJ
to the Bheh; oP the-sryinX. tf we ctcxrbte: the wrqss oF the,E"t's1",,
ltre Ax o$ fU
aa oF the sgriq witl doubte as, welf , tu
of S. E?r1.,3 Wltt bg" , :
Lt<,.^r teq+h c)T Tntl *?ri.,S Wili roe-r
Ax= o.ztim
i I
I I i
i

-, i l

f=L.,*ar
t O.Zt{rn
L= O.3Orn SprrhX s*efcruS ) ;

[-o o, al rn :

ti:ill

,* f1?":."yS Sr.,,*d y.l s:P:T{s.. -ile:gni^$ conskub .is lsos/6.' elrcl thg,coe$$icrenl
Ot sk'*.'e $ctclsian UhD.V-c- bU.X Cu c)'tl-'Sr.*[.r6q i$ O,(eO. {1ne. Eprr iS o.+ iest
-.',,t1-'r* t+e sycc,n uuir" Joo nnovql i

;l_r.,*rFft=,lt^*'T*epgv(*ffi 0 , i prin1
rts0ll
- "
-0f
ffi +]he tensb'^ in q nnqsspSS
I

-- pu'"!ts eqr,ro.!-r G boV
hil,u^ t4re gxgeq+e]s-lAs |--"-T"- rEhI .^"d'J*-s,he eprinn rnwer shebrrir,
L:* rhq "*^*"^-?t:*tio'*.r,n^ *..^,.].sfte.klnir
tr*"Jtr STLffi."*
"Eg
-F.rc}iu"r,'tt. r"16)16 tot spri'nt gtr,s tc.dcwqrcl on
' & ep.t"lithe Ffu.,
?-- x 8ig. hc'-rn- R"rr on p,s$ tdi btock ul equo.rl $r*g{+
x Bcrr< is in eo$rc ecruibnsm'.
O
lkto4^= CRp)x -G)x - G,p -$.= €p= KAX . where [^'ffL

AX=
c
q+>r= l{
*s ltr"J.,f;.iriirii)^[r;:-,;"-"
$s_ reaches ils
L|,t rrrr-nnr. fp= Gg--KaX bo^9$ sips ,^ther "tu'#],.; rnox vcrlrre,:
X"I
AX= o.235r.n ,-fl^r +*o a.l- ,.r^:-r^ r-L. Kaclz ti.-s-'. l=Yrt,
6'235r-' 11^" Ftrne. o.1- .;1-,;aq *u b!rcIi sJigsr_f, :arti
t:o:+l+- ,
l

1
Elashci'lthegprtnqrn6so$McrFherr I i 'qr'ue'rlJI i
t
Rig,d', t{c"terrola Unt *r-rire l4.r.q rr,rncrrn e,[ostrr., under norms" €orrl-q , ".
in
ertenros ong v€r,{ smcr." elruqryf c,,,VnenSto1.i t6-i Sh.ei)
- A ve. srnet c,lc-ffAi (sbreb) h6t8 o. fuqe re-Storrhq $o.<-q
h) ho-t kilqe re-Sbrrhq *rrr<-q
?jc*nt'. t'toi:r,t"g Shclut "s c,.e oe$o. *u}r'orr" QilhJ 6mc,,lil
rrt'. l'loterrtr,g *ho"l"Shc,,.^: c.rqe oe$o.rndir'o''* t^lilhtsmc,,!il $.1.,-eS {

L&', {obber)
- F.oKe.'s t^ q*ical1 c,loes no! hu rubber c^nd ofu.r
"-Pptul
mcrtenatrt I

?i ^*f
i:

i

-'1
l.-

I
il rl
- j----i-'l * '-!
l

l, i

G-Lt[

F"--l
Ni
ii--
rl
L--_L
il
__

j_.*
i
l-i-
ti
I li
t" r- i*
J
i-i
I

I ii

tn
w1(

OU:r<

I r--:-L
[r*'-l;rfrs
Cr-

USE]1

v 7 .- JUVlll I rr,/i ,lL Jlr vllrL^IE

6 Deftne EqmbsS i lor rncrsse-s
t,rTll--7----1, , I

7 i,_"
ti

,tiiriiiii:llil
Sc'seh.l[L. , r , r i i :
.li, i i , . i '?G,.3',
lA irth o spee$ pt ,Zol'Is,, t['s1 hll shq-C* i uC^.n l.-.lq'-d
f :'to*ls, Te jie'1gu.}si1vei
Srce- "$iv|.;b+*,orn fi
o.thcr,vb te itncrx. [orc+ F**',. tha+ t],e !ftt erer,]it oU-
. I c; beccg*qe l Fl iq tD ri e t-o(.c.1 t*l $." rrgh_r i ,o"^fll
o Vlne uc"rt irlojs tsitrfra; s+u"1"1 ih.-l$ Jt+ e-FF cisd i5
IL
'r lvrc I
il bcrcl<ih*er &+ t'l,SY (rpcr*i^b
; N')p fe4ixlei i

, op*,=J" =lco**, ,*, $";,*". I , i
u*"+
,rp*'-*(",ill -;Lto, ;i-'-l ,IIII
(v*)e='lt
-tt ar-, rLvr/F e
:r-r-)r
i

iii i 1
i

Lp* : (o.rsr.g)[--zp*rr)
rl i lo,rt Ft)l.rg-r1) 1
! (r**.)Lo.t'o"r.i
ILo.co* . Ap"=l,o(ti',+ i L , ; ; ; i-i i
i

= F*.r* (g.o* td
i

s.d* rd
-b--Apj.' ,JiXolg-jts-' ; i- '-' ,
rg=Ab,At, r$"$:6.ols-ls b"F='i5,oooxr1
;

OOON :ii rii I

i' irl
:

i i

:uegt..t
-nt rl-1
I App*. i
pprbr i; on ) i;* li;*F t*s3n; iC'"-,-**'^s; *. j*
tr€. ttac.l{ sr..ar torr tVre- inerc^l,ehcrn 1 Rojrces , +r+q, the U5'1S ,
''
I , i I i 1i i i i ,
j
ii
irn?u,siue- ttcc.e olidr, orrsors5n)i
irl
I i "', -, -._, - I

q o$i q:horneing
trb$er 'U"rtt is thr
ilil:iirr:-rii'ri
slrc^iqhr ote,^n rcn +hg^rcfwseu] *r|.';-j t **,i iit{,-l* 1t-
I
.speeIl a$
o$ l,*' ts .
Esttone^le. inelf,ugtrl ql thq bptr:q Ug.^ni.e ;
iT :i C.^
' i

to I ^'
sl $, Htlt*l)!i,,lt*.L
'{"t*,, 'ot}=iJ.i if"l
iLJ s{:
&os

l';"'*:: fi .J1'*,o",
,--Ao'r'
fi :':'ii.1|ltug rll:oirhiJ."*t$ *
llr-
ltls
$u.)=-lmts liL,"fs
.l i-'i't-.'.
i

AD hx n'l2- : O V.rt:,o i *n"iteftP=1 o.t t<g
i
:

I
= B."vtt
o.q1€:!!A
v.)=
Vrt
E rs
t q'*fs
i'"ts
o,to ..
Urti- zg A:l

[;,_,i':@yq*,*>l'il',;i ],i =

+
i

tq,oupcel'#
r,ir
L
t:
I

ili , )"=wr 6Fhir^le ]tt+ $reiuolr tj*^t*,
Fg * '*+i,.i;:ll:-liiiii
, ln
jrl
, rl l

Jzxl
:,:ii:i|iiiIl-ri
r
:r=

; Apzi.
ia$r-,.g
.Ppi)i i, [5ill;"t"AF+&'**t[t,if.ft =",:tsHil3.-*T*:tl'f AiJWSn"."
lr Lz lnaepedrden!
6[ khe inherd*chon jlo.Le , don't, naod lts iknt,ul
lll ' , I i !
itl .c.nrtt"l.5atl.r1tF""[.i",d, I

i'
H.j...'
i iIii
'

,i"p-t"-",iiii' iii
itl'
frnF{h}fn
1 --t.. .--l

',i
-ii,:1,':iiii

il"ii.--il"i,-:,l-I
ll'i-l lr
il:i-il,
i r -l i I i i r r- i 1-
KL,
'Bab t'5 rt.r^n.^t f"r* 1+e ph'ce,ancl * o fr+si(r $rlr1l^"fl hf ;""tp$ d.
l
j *rtl-
el*,*o,*.nfllt'1r,r tn,So'r- * hi*. he r. "ot,ull*
on,y. f:'5 7*t
,.^ W hnrtpr.tc.l , strq-l,,BOto $crS, e-, i t|* ;e*.grt -rY:&Fs rs 2!!<g-
S etn.= sFeed s ,.o*!t
urhm he jurnps ll"*t" $he ,.*.F.. Fps€d i*,f.r f.qil
(nn,e)r:-tslb rnorrrc.,h]rn fs jPri=gi i : i , i.i
? lo*" =,z,,K3 ?' rnr *' lbo ki Pi:(m, R [rno'r''.)(v'h *tfi]*Xllili i i
I

ur=? ,
i

''=3 i # i i, . ,.,t IP+'(me
(vo);,,{ri'a I tffi i i i- r i"'i
"'^ '--r'D
a' j
. ;
VD*=$Yg)i.!!es)ii
tq..rno) i
i

i
A
a(J
iii,ii,"iiirir
riti
'i
iil
'i
l;i , [Vr.)e+3.o'l'15 ; , ; I

ii;l
l:iij
, 1 :' i
i i r I i
;

o6ron5 i

i-t o .,* lo1iefi, fq{errse r'rr+o'***
liiiii,l
,rArn5i o|- c6gc..rcl i5 l*f
-l =q-: :Y
'tr:i'lt l-l
,rr lffq- grgloqrcsn tlill bq
it,t,
jir-"-rrriii
iii;'i,i
ilri o 'spc-.t .'F
J, b ri*.
l, =" $l ,

Fr*r:o; . r i ;
F=jRI=q i (Y*14 i . ;
i

Sharn i

ii (vi)r =6 i
'Nffi mil
)e:ll$fiAsii;
r knJr '
ti
I

, ;Ql*)r,i, iii
)n= -o.Frits
l:il i',riil l

l,riirii
,,iril,i,
| ,rr"t I tr"jp.r1 thq. i -brt,4=0,
i *d, ii-;i
**
ilii ;rf
i ff
,<ope-!i.e
it ii-i,iii
i:-l.liliji
I u.'n+i r{,''{*Ln["t i i

'i

)1,
5'tl
.

J

I

ii !t',
1l..1:

'.:
iilit tilii:ii
llil

l

nlerm"l brces'. 6rces lhcr act on1 b'nr pqhbS +)i., Vhe s,rstern i

t'A sqs!'enn tubjecl to on1, lnterncr,l' F-rr.cs = l-*ot'=-t"*- ' :

- lf .l-here qre ho
firr,e.s on e.ng of t'l"e parholes from o6rrK oehscle the sqslern
The $orrzrt nnornentrrn o$ .ri lrdloted sqstern Is conEervec,l ,

t:
;l
ililli.ill
jirlri ti1
al
'. lt
i

Fc{qh bltqr onr {-ti"toni-es Ce . Sc-orpU/er
,

Ltas Crr,rnqts of
95kg, kr.r/rd & rncrS oF 8or<n,'fhg.{ 'r-U., gush,o!{ tro* ecr.c}r o*he,c,
lt!". l-he pus, Scur,o"o- rnoves o${ c.f q sleed _oS z,z'1s.,,Ahq}'s Do-vtd sfed i
' , tk'!€rs Rn. o.n isoo.led ?i *6 blc- Us');i=o, soPfrn:v =o
,

Eko,!€rs Rrn,. sn isoo.ied ?i Us*);=o soP"on:v =o'' ' I

l,l$s{F.',q
F"tdr
ffii+
trl
hu.
^ r.,- . -r o*r-M- Id:
i'"i,.';tr,,';,j;=rndrv.,.),
rnoXe .F"ev=o. rns(sJs *,nn,rtvox)p
R"y tvoili
=TnslVsri; F In;tvoil;
:

= o
' skar-lerS' it ccnerved sovinX to. ltt5";t .'
P{.ratY! s ltr Cx)-tsrvF.q .selvtn$ TOr L.ux).$ , : i i i ,.
'| I =or i-
i

-X---;--ta-':/tt Woje=;H Lv.-)e. * !9.!ohcr *i*gr,rrrn .o$ the
''=(.r,sr,y*nt)e.1",*) [qc].rhome^fql+not., |
lqd, moment<r. q.rcg not.
sqstem buv Fhe
i , -(-t{bkq/- t r . *,- I i

: (Vo^)e =, -1,2*ts David
rnorre.F ibqs.xurqrd i*,1
I
+4r,t lo9 t.e*ts 1 j

"^
Consgrvc^hor, oF v,ornenr- rorobems
x Cleartq oefie,e thg sqslem .
:
:

. f f p"uui[t",.i."*; -i-til
lhctr iq tsotc'rtecl tR.r =d) o. ,,:l;n t"he fnr+c,a.h."ls
,+
1r^$fi.,reni( shor+ an.J' inleose
tho+ qou cc.-r .g*J.ui u-*t e,*fs iC. ;; ti**+;; og +4*
'*r.,,.o,
"n*r
lts fhen e."sut'".| ,
rnlerercttonitt" lnngulse g,pgroxirncl.bi.5r,).,l-{o*enL^ fS +hen eonse"cvecl
tnre,rcrctbn(fte lng.rse A.,ggroxirncr$ion). llornenturq
t lf, ilb nol ptsibte to choose an isok ted sgslern,*t.{'b dtv,nle +4re grohem lnta pc^r-ts, svc.h I i , ,

l

lhol rnornenfucn i, conse.rlecl clurin3 1 sftnerrt- o$ flrg wkan, Wler seSrnenls dt tAe rnohbn
Canbeorro-eedusing,N.r^iTn'rtcAt"^N i i ; i i *'.'l , i

Sovel l3oseal on ft'e hw o$ consrvcrhbn,o$innosa.rnp$l-: ,Pq=P| ,
- (P,*)t * (P.r)t t (Psr)c +". - = (p'^5; u tP"Ji
j

t, . .. '(Ps*)i
rhrils (p,1)i* [p'y);
(pr1)$ * (pq)E r. ,. = '(par)i'..i, , , , i i

l.irli.il '

7i il

Cl+. tol &erg* ,c*,ct (<laf{

Kinehc fra ,t tK)
-5"e-r3,.1 ol
ttloh?;n,, A rnovin3 objec-hg i
hc^ve <tnerc- ex€-rqq " nte- herrui e.
an obect , o*td its moveS,
the- nn1.e- <ine-hc-'loufiqh'.r
qqtt tt hc.s. ,

6lasha or SprrnS Pohenhol &un, (us)
rv I i fiern,di ,n$1U rnore
',
(5*)
En.-q1 stvred tuherl a s;arrhcr or ofher e-tqSh'c-
''l lfur objec-l.s ha.iel
' S
rbiec-!' is sfrehcf^.ed. (e+ , Pr.,tl''+g c-n erro.l
obiec-+ is ,Stre,hc,l^-ed, (e* r d.rtl'',''.g '9rn ero.o . , ---kl.ra^c.r eriergy @ crtlc) a
b"-A<', an%1 Vrrcrnssorrn<<- Y" <ne-trr'c Srît.1 I blc rt'9te.,.-,t1eg fiovg €) rmor4
uJh.l;k fae-t*Se. c!rror^>,€hsoN,. i ? Fto^ f+'e b.a) i

/ ii U.rJ i)6.tuiq(i^",,o*)
4i'i:*ffi=:
Gte.trrt"-r*l furces c4pte- c.forns fo bnd
foSe+her t-o pncrKe rnotecr.rle.s). €-.*gr1
*ilffi#f*'{ffi,
' I a{?trt, ralcosrncl Ue ,rnocJe to, blerrK
Cer.lrrr. ,nrlc.l-ei ccan
sorne oS tf,is luc)est
eo'n tae relerrs@l crg &he le6n3tgQre recxranqrcl qetflt,
u f hrch is" frc.nsRrrmer) r'nto l(
dtuiry cjrernr'cal rxnS , of ilî #oqûnts,rqncl fAh lnf,o
') Eu^. Ko,,; oF nr;,"t* *l*ponu'**r,
os 1 cln6$Qf- kinc,,
^n, E;i*x J.HHa,,TP -^"i--t-l
A $e-rqhhigkr iFts
'
t
cr. tcarbs ove* he-r hec^cl E.1ns, '-, t'11 :

Io fie+'Fh. bcsb.e-11,(which hcts much more grcwifcrh'"r,of p.ltv,tc^'enerqg trlxrrr higLl
above her trec.cl) she ts tra.ms6r*,n3 €.,he1,, in her fudI intu Ug pe" bo"rb<tA if ,

'r I ', : i ) ''

'A bcrse 14 -o 6tn i
bc.te, ruyrr€f ercle.S rlnlo,the 1

Whe-n runnl'n31he hctg oK o& K . A&Fer slidtnl, he- hcrs n6ne-. lhs l< fs
,-U',J"-l
lrc^nsfutmecl rncuo1 intU th-qrrqll **ttl l-he ?rou;d altd h's bgs o,re.,sltjht.l,l ura
F Dpnn41c6<.-rc Y-lrv€r L4S -? k;Uql
Urs'F N -
^ e.rert f- !t1,

; A burninS tr*npfir're 6*"*-'rrh Uxi,.'n#*S***Uti#rif,ft:il* iitSl
fie wooc) conLr'ns c+:nqr'dera-bte ch,rrnr'ccrl e"EqfJ^ lf",;;"*.i *-rl,- t"iltr-îeor*"
hJl'ur^ fhe Cr.r.,rlcon in .thg wood eornbiRs c.tnennr'ca'lt1
WYun t'he g^rlcon rn tg loooc}
,hb (;i (l-s( r*restrz.as{r"A.d a-{r
c,trerrtrcalt,ll *t
( <l-s hL' frh€S into Fhe cdr <lrr.,
he SS air
trrlf oxXryl i., thr c.rpi,fh,s iar;1.^, €,ne,-rt1 -s .,r.T*, [-h,s i' wit bei 4.,7,15fu,ahed ti
wi roe, ,f',+
t *tH.n"e.c{ largelrl intu 6r,, of t{e r''.tg.is'ns t.ûj*g , *5 ,r
,

-

W -'K
i

* Wor< iS the trc*nS$er oF exrernl
ta or Frorn o Erqstem b1 thd '
o.ppticcrtr'on oS Forc-es , oad the"l-
the sLl5|-e/n trruSl- unden6o c4'
disgt.rce-m.r',f ftr lh;S o,"rt.
bo be- hrolnc$exred *

t'> Ihe tr)+Ed ejnen$.{I
' oS a{
Cona<urt!
+ SeFarafed ( , vq
"Ao" E
-.1 ure.r3fe.s 7. x
nX + T' l ii
6'6-l turrroU:tdroq
r
lhe- in l'l4e_ sqshcl.r c*re . {nsti*nHr1
e
Sowl
€ffr{trortfner/ts
lrc^6s8,r,i,'^3 €rom -o^" klpd I" a*o,n-,o":, -'-
Ihat no eiexgl
Ptcta inip or-d* a*
Htt- tqstqTt $qg1
i

I ll" 'ic,rK ectr. be Nd r t'5 @nl.l es'hu;tl
x ,,

:dene en W 8$tem |t.anserreA' '.1
ll

Sutsf-ns . lhc'jr ftren' t ltqtqtql
x'[he shanqg i1 the €.Nterlk e,nerty fS 6irvrp[1
t{le 6unrr oS the- trrrk,dooe on fhe sqsterm
qnd ttre he"f hcerrs[e{re"J +b t'he ssk{,n ,

AE=hJ *Q
l

ii
1l
li

I

6oe,,t Probe;si i ; ; :

]cr.hge.rvoHoy-.i r".t-
1& the Eqgbelcr: 1s isorc.rcr, o.{r"t, rF l4rerels ho'
iSe-, e4tl l(it,Ui=1as+U$ ' i t; j i

'$t-l^e{w{Se use e.rr Ki r Uri b N 1 Kl n UF AE*,i
td1"*1, *T* la^-*4, "-,"{q,el ., T".i*}.*
:-:l
r" li.,
'o& {-he obier} iS aiPl hrcPag t4o
- S H eiqht rhe ol"ier,t-, f s ni'nq,r " lnAu cle
l"he, obiec.F fs Ai'nq I-lncitucle LU,
"'t
- l! ; Le"hU1" _oF c^, spiinl tn t1"ii tncruce tui)
)s
T
r -l J ; i il'
- e (t^Jh'c fri.-h'o.r' ("'or.sei",+i AErr ;, win ir
oY (s-PreSe.1|, AE*n wi .
or poa<nlre+-I' c+e,^.cd, q(li be-
into hexrno,t e,nrlr,qrq ' , ' I'I I i
nn:c.r,l, e;ft€-1,1 i 1-I
,"' i

''f c.'.n e-xbernq- (pr.. -d- <m ,htf sqsbern, ,i4o
i

e Cr,^ e-rxber.nq- h!e.c
!he- r.l.:arK W done b.1 +lnts S=l,..e ;
i
i
i

i i '.Ua-;J.i +f,,. r*l*, *u'it,;*rl
i
I

I .iD 'i; ':+.J'
ji]-IIIiiii,)rI; it
1i"l
i
| 1 r fl ^ i I r crrf,I sove frrr te- i tJnkJ,lowLn,
lher,
1ert or,t i i^ i r.' tl
Sor flne: ^ : i

i$''
+n1 *f p-osil
:"*;**. $s(Syf"-l"r),
or drsptcr<.ernerr-rts o r $orce-s LGr"p'h)
-- f'- --

i
_,*t_,_._-

,r krneHc, eloe..l^t.t is cr-sr€+*4s !.+) , i i

Ys Tne-rr'+cr' sne.rc11r.1 creJ^ o*j iqcxgoqe,

It).H', WorK , ' i i- , r'.r
I

S* clrspt,c^rx.mexr*, the qfs*tr thel u$o,r
I

: T1ne ler.r,crer
the- stronXer thg= . Forc€., t-{ne-
h 6r e.lt &yms oS ene-rgq) :--
it-o$ w W = F'Cl NoirV- olone b*t o
= I N.rn ' ir-l llne cirec-tr'on pg cr elrsplc,.c-ernent-
ii'
-
J4'. Wprk clune r-n,pvshinq c^ c-rc.,$e , ' , i , i

-l-
- Sc-rc^l s.--ir-[eb"4
I

prs-li L1"*i e"F*+ ct}- lc^ cA rsdfe
[h] ct euosfprnl r-<rr':-esd=vlt fo* e+ mcqiUuaf lro .*1"
l

Sc+ic^-h do on the- crqSe-? qr!4, sik
---fi ,ryer
F : +
: Z='o^
1F t-'to
a Al:F'd
'
rr-lf
tjrosxg.o-)
,1tr1i=
'(ll :
:
d.t,n
-vpl
I V= h.rrt' e!^{r
meig lcr t
l, tl
.R.'f^i 4PP.
I+ SirL rsG

!ll
)'-1----i'-
1i:
,..i it

7 ii

I

6rce. !i
l

.0n1 l

trxtlK
I

ii

+?) t+

Calcwtc^hn1 !f'e
Dire<-h'on eF{o rce.
r?

.+
Vc
...-.+
O<1o" I ,

W=Fd ccr8e i

tlo"
l-J
-
o
+ %*,*-

Qa6
IU
v=Fc,cos6 l

I -:> ,]
O=18o"
O*Eoi I

coso,=-1
-lFcl
i

N= i

aplJa i

,Y1;&a rS rd t/s

,:/l
1d=lC0rrr i

i ; i ' i : i...r i I i | , i i

.6: ffheh'E herfl , k= Lrn.r'i (rln Jp.,tes;
=!_u,i ..
(1-ransahc'ncl l(rheh'c, harq,{r qrr obiect rnovrn3 c.l5,n1 c.1
l

._
!f,nccptUr, 6x lO.Zi ,_" : , i
:^,,"*f.lucrir c?x.J i I r i i f i
l

-Comgc.,re he increcrsQ. in cr 't0oO l<3 c-qr.,s lG. aqs i+
S'O-ls:, |o r'ts incrierrse i^ Ke- crs rlspeerJs ,p bT 5 "',1
-
a r.rl,";: t;;'-.
Li'nt*' ;--- .- '---
-'i- " .l -
j i;;i;
,
-
; ii:e*+r.Ipl. ;
qx"1",li + tiou,4*11i.
;"[jl i
- #:i:
4ks*,'ro:g.t.rtof]
kljJl;i *""n-r' ,1 ' .". .-'
rrr, s"L,aq .,t,,in,
i

i,:.,ii '" ,,,,-tu,ntilo,i[]' j1".i -

lvi
_-i'--!--
li
lo
ir
-.--.ll

I

Krot =rTuL

Forcr
t{l-

l-i r -
'l r
N 0nCOn:SerVc-tiy g f,;rc-e. t
(,
tor(e, arytl iS noF
L:

7

;r
ti
ij
t1
li
i)il
t' ili.lt
6X', St1slern= l-he booK end {he e-c^rh
'looot ',|
:i,ll
iliijirl

- h. rs liFFcrl c,.t a con8hrnt sp.soJ fro* iK inih'al p.s{hon ol. ,Yi .t" .o i

fty"r ]ne.iqtrf , -
F
'The f,f+,;"j.(:re ol he lwrc) r's erferna) lo lhe- sc6+ern gncl Sc does workf onlh
St1slern, increcrsinl ihs q.|3"{. The book r's t;fkd cr- s- conshcrr# 6@,,'
6<> ils kfnehc **fl.1 doesn'l- chonge eilher,
) J- . ,,
Thus, lhe Loork done Soe enhretl lnti incru,tsrq l{re U1 ol- }he sq$l-e^ln
'tffi.-* -
rng t ror[ clone fg W=FAr1 [ry,=Jc -; r ts
{he t,prn<done is w=FA)i (ni=)e-iris
,

,, .
::**
a [q)i
t tstq rhe ro.pi bg,.rq-v
+ w= (us)+ , lh.i ve,rh'cr4,l ctiBtcrJrqc- l-trg bodl- ,," lt,tlcs
W = m ia) r lug); 'h,l.gA'l =(Ug)t
v
Itlfecl ah ct ts
contkan]
[]eclatc.conrtan] I luu l' I iti ' ti',
.^_
,, r , i .. i
l

bi;€a,iFistnJ-fr"*rc i l'
gg lfbr,'"rn t^liih
,

d , rh.S The higner i l-h. oble<,r fs ,'9te.t, , t-ha t
fr'u.r =
F:w - rn'3
I

.1.1+:r the tr9*^rilc^ftorvr. poFenhr'cd <nqfl y tn
Tc, fric tAg)i I
. $e obje$lea$h -J-- -- eqslegn
-'i' %:'-E'I'PtE.F"t*.q€il.tJZ"'
tu$- -"Lux); - Ctr153s^.i1
= n^tA
*n{ h"rt',.{aJ(esrgnrh'ccrrrr Ig =nn
AuSJ J:ltt _qo*o' t' 1 "y'',* a-bq='l

i i . i j , i ] i

;rr ,t,irri :i
51o.srFhfugl-he-bsll ,
ffit' , ', I
:" i , i i I I i

-A- |he coon{ farr,, k.,lr" hies,-llrrring-the-5.11'g+nn<-, Shg, srprhgs llhe rpc*tyuf n*a;,utgugh
+D give,^f|!
39|y*i"*r*tu4t,t7rc) *."a, oftoc.r^/s . Sqstcrn. bcu ,,nJ .l4z b+tl,39n",,tg
initra'/ r,o U)tlt^ {4e bq.tt
**.1 fte.
{F.t'}:-- :*.lrtlt: . "^-t+,
'l*'*o^L n*1*"*-'-*i,iU tfil* 1=*-"
o*:*T
hh. ba.n is mov .,n q.
hetq
:::, IT:t- l'li.e,{ate; r
.: : :
vrcrve-
- ,"-*j-*J* --ffie:^,b . --,
r^^e-cr"<,.ncql .r^!1 g
j'tshe-

i
& Ui
*ffi ,1t u.'1sK, Eo na€-g', J: HJilil:
ro-f.t*e- Htclcr a< e.xle.rncr
tf,lr*}ffi e-xte-rnol
C-r.rJS- at.,
L t^rorK'oh *.,:^.}-"c.'r) a+sverw, !ne snsern is is6c^-te€I.
mt'$+ =2{.!,t Hne ec,rlt-ec,r a4serw, !ne. sqSern is is6c^.te€[.
T 3'U ;f,ry
t4g;t I:'AJ { Lo'*'*
we c<rn .rse the- tcc*r o$ eonve.rscr.h'or1 oG mec.tncr+tccrl enenaq
'-' 5 ('"*lr.ttt)r-1, {!t)i = k e * tu6) s *> 5 m.r," nng.1 ; = lrnve', m3.1 * "
(ln a. ?,7 : , ----:--% ,t'r=^.;- t^.^^f l; -Q n1* I
^
l-l , j;=orrt :on.f Vs -/nil. i

tt$itt'o ha ute t4t_tutt t,so (lal fu)t witl h;t i'f ran r'ls ryl op ,

)tThe U3,d+*cts onll
a{=O t h6t" c)n Hne- ,i1l
iirl
ir
bj ec$ SI4di
li

l

7 l:l_l

.zirv.sret/Eq.{ff, P6' 1
I ,j iri
-kc"ftet eoe-s clo,*rn c^ G'>crler Er)oe uJhose shcrrh'nq Foint i6 3.0rh 0-loove the qrqmcl,
the pushes oF toiHn an rnihcrt T.aJ of z.omls, 19'+t. slrcle N &:rchbnles, fll.,
fusl wt)l kcrhe be k. nelinc, a.b Vhe* bol+om ?, '

J
$fc- thereb, no €ri<-hrien, lhe. ry1ec-hcrnicr.A eneral is ccrnse.rved
.r (us)*
16.:, Fi t tuqli = k+
'li=9'oo'. ).r,vie'+ m.g.gr=lrnvr". rng.("r 4-o a n slriCinq clown c.rr1 Grrchon
r/i: 2.6;l hls t eicle oF h.6c.rne heilht,
l-l-
, ' tmviz'lp; dlv+' t,1our speed q* fhe hohtpm
Vf Viz"Zf y;
V,F = { Viz+Zerq- ' rook) b. te.c,.rne x
DoOkJ be lhe Eo.fyre,)r
(.*'**;fr-***S'fii'.ili,{
i*ff=;^ :Jt'Ft*tXro)
t3.ls
Vf = dEvrdg on lhe heiqht q.rode rettirer
u*,

EI tenhl
.1 iS storecl in e* aprr'. rse A-fn t+t-----rnot €cf ce- D
6)oro11 c$m greSS +h€ Sprinq.
- 6-r.terno.l force- coeS rlort<, otr', {-he Eprrnq trcrnskxrinq e-nernftr.4 hr ih'.
,
L4,.^s oQ conserv;.; ,,
.'e dn-.n1 ('tfuL c:nt| tJs
W =iqr r'6 changrnX

Xto
It cannot t.t€e. W--Fd blc 6rce, tS not ecrn{r-grt

llil
lt
PFr. ro
t_
lr ' a
-

- When 2,obJeols srde clr e4ra.t l

re{rejqq is, o}uceqs trc.Ulgl vrvrerl fnh>
.{hgrmal ene.r6j
ten
oad ils uls.*c^ttu i
bold objer} crrd d.rr
uex# ends up in
CdU 6b-1ec,t: <i + Ll; =l(e +U+ hAE*n
6tour - movinq rvrolerutes
hrue illle KtHe,l-rc c^ncl
elosht. poFenhcLl a]ef,tt{ v.vw, I ,

=-t6.t:JlfrwrCr.errqgl, cfeol-erl F,lcdd.i,cr'clnu.lnohilJ , ' ,, I iil
- caeonSe
Jrrrngs ontD t",i=, ffi &ro* reqh c.^,F lhe tog oF er.
5 O-r'i- hiqt' hif1, H= qF fhe bbLto* iS 8,oml,s. G,eor.1,-:* his secj hC,.r
Iegeect
a o'e ssrca.
ffi;=- ' h,T:i
aT LoT in HT.'s gd.r-=ssa
,P'o*:*
m= 55e1 Ki t Lug); : ko trtUt)* i*AjEth
,{;,{}.!ry"it"0p:+",'.3'l(* r-(r)' r a E*r" .

[1 lor.u-,, A F*r. = e 35 T i- ?ff,ji,'GrecxXe S,tl #;:'*
ar* F '1,65 s - 'rry ff ffiiT#
trr[,*c-re.
fi{ *a er,:,y€-

t( l.F qoq d.i,vrcle Hns A E *, b;r t{"'e LUg)l ,
ves qoll ?,? r
,,.r..3,'u* .{"t1:1,-?F
en.rt firur$lorfnqs t nta bl+1
€nef,3 lro.nsfurmec tnd F++r i _, i
^t*/*o.u -, aZetlrr"* :25./,
1'zetTr;rt :26'/. , i

t.,f -
ll
j "i i i
r
'

- A slar tinX Srr* rest-, sl'Ues duwn a. lo-n-hr'qh lo,lf . At t+e botthm of- '|'t"t- h'll
stadder,

isa h: li*rrtonral ppr+ch up rou6 s6T.The- hr'tl r'g aec,rLvt fr,'ot1",1os,, bu+1
l1s + lonq hovr'tonrr:.1 6acr+c]r op rau6 Encx^>. The- hr'[l r's
l:tTL1 Fr,'chbnl:s Lut
lhL y t
fi^.. b"Ir
lTw
$t *iti
,,-hff slert a.ncl rfie rou5h inu* +Iui - ni3'V;=,i rvrv"';rn'g'{z t,n)*
{t9r,.ro!:fl F
to"3h *r..!.csz; .io it' X=u,2+20'({$-XJ
. N J;:lorn 'v=thls lv---orrt.
,n3,.L,=tmur'
i,t^="o v.l'tl4-; re=*3 :

f-
lr "4-'i ':'-i i i Iv = 33.3,n,
i ,"tl'-gJ')n4i , l

7 .:rl li!-rriiil rr !,
:lrl:
:i.i
7
:lil
l,-iiliitl

ffi o spl6re, q gr{l,ncler, g
urc$crr hug, ei:rch ,'rith muas M: or..t
a$d
ut anstes j Atf 3
l

fudfus R, ptocrct qt h.jnL{- h g,n q, elopei are-simultrrnqslq rlelqs
fror" leE- ond ioll dorrm ,r+ll ec.-p ,.{o'slggin1. J.lt,rt^,
"! *.
urill 1pyp lhe race toJttr:h+{6n
Uo slidinq Fri.fion,So lokd rrrerkrrriccr.l <nern1 (t yu,=tr<e ,u+) rs conse.rvec!
the Kfnef;c- err.{f,tt of ec^rr" :qlo.t..} rnust fnol,de o con}ribuh'on fro* r* krol i

(l)i fr:- W:l9__* T- hDtc,, ke = K*..^,,"*:k*u
Hgk}lH ':HE:ifilM"A);'
?i)v' Vsshe{e = 1. l'{t:h = ft'st:r-
v:[ZEf
..tttr7raa
Vqonr-= ustrfr - prcrc.e
Lrd :

* All oS Hne,ogiecfs hcrve lhe scrqre Krnghc €xrerqrl cr"t Flne loo.b+oryrr lole", l,hq
".Li,
Skir{€a} d I I'he-.scrne efreql (trXh), c^,h Hne bag. B.rr }he objerf .51 t*.e- s'mccrt€sj
t wilt hc*,re t-he Smoltesl- 'Rolo"h;cn J k e c,+i yhc- b.Ftor-n, orrd he*r€ !h,e hrneas
?"^r,s lerfion"-I k e arrcl the larqesl y '

t 6n o.ain..r1 slrclinq objectC^. r"#+,t"1 r€s(neJ +t" -,f sf"J ,=ffi-1t11 iln"* 1

LSignificr.nHl kister thc.,n cr{ry of $e rollrni c, b;ec,ts ble Aut- ifs:kE ,5
-Ltout
hrc.nsqh'c'crcal - qrncl ihs hloe k**.r-s th.^r "q^FS dot4n 14e- hilt
l

irii iri
tl )l
(so- ,- l
os i6xAMl)
|:
I

ar llO.lll Ene€r, ll.r"c.",ehrwtcrhc'ns in + Ipe-r,kd-Hl fnne-c.Ehte ,cotstg!r
- Z c.i. brucJ< c.fet€.rs Grre p.reVrecl h$e :.^ft Ott.o.r(:, c.otel,g, -q^nc, sh'dK .tuXeth,Sr
n
Lo.npct-re Fhe- inrh'c,- crnd F'rn<r- vnrerlcrcrrnccr- e.nef,qies oS !he- €qstcrn
-i., t hr
^

t(*)r=-0.500n""vtn,$(n2_ Kr: l.-ItzS ,- , , ,t(*= zl'wlt"hlz)ur)$l
Ki= 1. tts
;

f:11:t kt = 6.o-t55
l-) , A6rw= Ki - <g I i i tr-oor,+ oF
A €'n,= tr.11[:O ,rO-15 f . .ki1,,1',.e
AE*- .83S J * _, jffft

A cotigon, (v,*;* =
?ercfiecHX e cstlc- (v,, ffi N.")* ); : ffi (v,*) i
-tf o- lhe Ktnehc enertclrs With ohjecl 2 inihbutl.l c.l- resf
.st-orect aS ec.Shc polen'h'al *Tjf (durin3,c-ollrsion'bl". z
"pjc+tS) i ,

o-nd the.n o the tts it lrcrnsfo"*ecJ bc^J- in'n lhe poSt-colrion
l(tne-h'c- .n*t:

o{- Fne oble"K, lhevr tt"er"r*tLi' .*"*.*a is cosservecl
i
YYz[va*) x}bEeAtn
'Hornenlum Cprns&vcrhbni (hr(Vrr);=.Mr(V,x)S ! Ynz[Va*) + x )bEeA ln an.{ cotl,'srbn
i

'6"*tV conservc'tion: !zrrn,(v,*1;j=Lrn,(V,,)6t*
lvnz(v.;*"L*W3;i,5,3.Iar"t
;?.nlq.
€,r ped<,fl.
trt ,iill
i-rrlit).itili

ll
l-'l
ii
-t-
--s'*
l1l-ts

-'r
fhe.
-]--*
I

1."-
I
i
*--r-- -
I

Chps. 6 10 physics

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Chps. 6 10 physics