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Page 1: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

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J ) - r 0JLt-~(J-r~L 1Laf-iJ-I L Y~-L ~J -V i-4

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-

~--~ ~~~-- -- -- ~-- --------- _-- - -~ ~ shy- ~-~-~--~

-- - - --- - - -- - - - - - - - -- -- - - - -- --- ---- --- ------- - -- ~--

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lteMY p cfto40 VI (Q J tP I --ee c ~ Ll oJ a

__ ---__ -----1 ~ ==-lt+7Td 1- r=J bull

~ ~ -~~-

D-uv- I (-lt- ~ Sun +0 lt~

bull D~ L I~ 111 eclmiddotrfic I(aIV ~ SUY

bull ~~ d f- E~middot s ~d-ltJfltM-A

bull C t1lt-gt~ l~ flt s Jo~cIlltIv n bull pound- o_l e S ltLu(lnJ Qn~ ~

~ lrr Cv ~~4rM)r~ cR ~-ev+S a~

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-rr CI-7l c1) = t [ IIl4eC)

tmiddot

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2 1lt0gt

r-amp-=----------

en Fata((~1C 0+ I5

j bull OA oliJ~ f-v -euroK UJad2 1l-1~c

-r ~f CgtY ISmiddot J

J gt--2- )l eo S- ~ a ( s ~ R ~9~~

~ ~ a S~I~lomiddotd uLJ3~ Yl1 ~n 1J- -p~~alteuroX IlUCWUll-I4ltet ~e

tlOrI - 5~ ~ ~~ to)~ ~ r I uffJ t ltJL l S Ult

R 1middotS)l(O3

amp _ 2-)lt1raquo (1gtLlu~)bull bull -

tfl~

gtX1CTI9~ 1T(~kgt1

- gt x JN rr(M4Q2c)

-- - -- - ------ --

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____ Lt -3h-gtltct-4_ ___ _

LJpound-a r__-_C ll-f- ~ 3 x (Jo ~X(O- __

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JrCILlt ~)

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~lQJ 10 LV ~-hlt ~gto~ ~tamp 1J4~(J~shy

~ (YG =--~g LSun ~ bV1~) eP 1A Clt = C7u ( 6gt-) f caltbl-ltI It ce

~ bull C3 fYl(9 - )Jlo~ I ) -=((119 HmiddotQpound~2K(OJ lzJr(05~o

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UNgt

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f3 12gt S Co+IU flo bullbull

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se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

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k-f

bull

S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

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-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

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sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

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1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

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7 I

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Page 2: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

Zo~- rr ~ltv-u-c)--Ld io LLd7~lti (j_-~Lo-~-_~- l-C-L_L_lt-c- bull

04 rl~ f-V

-lt-1 c

shyr J Y-~~ __ ~ -13 )) ~ c t- i---lIL u- --Oli- middot1 _L Cmiddotmiddot

_c -pound bull --middott-kA --O-C tL f-ios ~__~_ t_ ---e j~-~ hd I r J S I ~ i-poundurf Y-I-_--- ~r--k ~ugtC

J ) - r 0JLt-~(J-r~L 1Laf-iJ-I L Y~-L ~J -V i-4

~ L-gt~ Ie- ~~~o--v cttfpound) L -) c I a II ~ lt-~~_f_ I ~ j ~~ I u-t--I-f-tf (rmiddot-L~ck 1 11 ttL j-vI--4- r_~middot--S

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-- - - --- - - -- - - - - - - - -- -- - - - -- --- ---- --- ------- - -- ~--

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lteMY p cfto40 VI (Q J tP I --ee c ~ Ll oJ a

__ ---__ -----1 ~ ==-lt+7Td 1- r=J bull

~ ~ -~~-

D-uv- I (-lt- ~ Sun +0 lt~

bull D~ L I~ 111 eclmiddotrfic I(aIV ~ SUY

bull ~~ d f- E~middot s ~d-ltJfltM-A

bull C t1lt-gt~ l~ flt s Jo~cIlltIv n bull pound- o_l e S ltLu(lnJ Qn~ ~

~ lrr Cv ~~4rM)r~ cR ~-ev+S a~

+-a IV If -z- ilt-shy

1-hn-rr- -= TT C M ~ If -w TH hi)

- o

~ 1fC1-71 ) rll1ltraltz) L r ~- L riz]LSo [0 00

-rr CI-7l c1) = t [ IIl4eC)

tmiddot

~

gt1 u amp-eor La cetgtU~ -1- r ~ 5~) an cR Cn~ Tt-iS

2 1lt0gt

r-amp-=----------

en Fata((~1C 0+ I5

j bull OA oliJ~ f-v -euroK UJad2 1l-1~c

-r ~f CgtY ISmiddot J

J gt--2- )l eo S- ~ a ( s ~ R ~9~~

~ ~ a S~I~lomiddotd uLJ3~ Yl1 ~n 1J- -p~~alteuroX IlUCWUll-I4ltet ~e

tlOrI - 5~ ~ ~~ to)~ ~ r I uffJ t ltJL l S Ult

R 1middotS)l(O3

amp _ 2-)lt1raquo (1gtLlu~)bull bull -

tfl~

gtX1CTI9~ 1T(~kgt1

- gt x JN rr(M4Q2c)

-- - -- - ------ --

--------- - ---

u h _

===E=== ~r-lt~J2--fDf--IL~- _c=_~Cd6~1s _

____ Lt -3h-gtltct-4_ ___ _

LJpound-a r__-_C ll-f- ~ 3 x (Jo ~X(O- __

-5 I ~ - _ -- CX lO9tgt _~~9 _ -~-J1fmiddot--=- _3C(Cllgt_ -~-~[-=pc-e-middotmiddotmiddot-~Sf Jshy~ItltLYoH (

)----I-IIJ4t _~u 4 - __ ctc~_- OtJcd____ _ __~ Sna- J (1) - 1 shy

JrCILlt ~)

fpltt~J ~ Vllh ooo s~middot -1 1

PIn cLltL I-v ulhM~ ca-o ~ -l-o -I )([0 UAcU~c (sJ-t) ~ eO ~ I -= 2 SlC[~~ -lt11lt =- 2 SU Ll~e J

it l1)G --I

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Ho Lb ~ ~I~poundc5J-- Sun J

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l ~ 11

-amp e -~--- - ~~---------------- --- -- --- -------- ---

I

s

-- -- -- -- - --- ----------_ _--------- - ----_ - - ____------ - -- ------------- ----- --- - - -- -- shy

G _ Pol dc~iL ~~)_ 0

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110 ugt 0 ~J e cf

~~CdIfc) == M=jv ~JO = lOmiddot2C-~) rd tomiddot cM-Pfl-~~7~ fC

~lQJ 10 LV ~-hlt ~gto~ ~tamp 1J4~(J~shy

~ (YG =--~g LSun ~ bV1~) eP 1A Clt = C7u ( 6gt-) f caltbl-ltI It ce

~ bull C3 fYl(9 - )Jlo~ I ) -=((119 HmiddotQpound~2K(OJ lzJr(05~o

Moo - zg +S-()+b)=-2~g +~)-

[M 19 ~ L[middot21 C5laquon 10f ~ tv m(5)

~-kw

~ mal S ~~CL s~ ~ ~ IOb2Ro

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t11rM ~ ~ 1-4 (J - 1)shy(I~ ~ poundu -ltJfd ~ ru)

M1rM oS ~ l - 1)- zz -10

reg+iA-N~I~ -Ftld-~~ (~[)~~r)

~~Ju o-ltL l ~ -Ftgtf- rJf1-trWs ~ f11~ - MlrfMJ ~ -rJ1o 0 L-fAf)_)

L Lv-Nl

LVD ~ - t( (11~D- ~VIIlt5) _ _1( (zr) -10 L -10 -- 10 =10

UNgt

l7- Lvgtgt ~ Ic0 -LwD

IJUA-L- PNCuze- LVMj ~ ==-f 0L

- ~IS) htJroz = v J e

I f- ~ In- A~~ ~1 1 laquo =lt~middot67 )(rD~g W rn-lk~

Solo j(u~)- 4 ~-rrl

VJ-~~ IS Te ~ ~ SUVl LltJ

----tt-----------------~----

--~

---~ 8

Z 1gt0 shy6

A9gt at 0-4 I +

1 UJ I fl rpound ~ eu ~ s -AoLV Bltl cI2- laIZa of ~ RL SfRC -t-nc( ~

tiO~ ~oe3f-Q K~ ~) elL ~m N o-t

v 5tH P11 SIrl d) ~ DlUlAU-tntQV pct-t of

l ~+- ~ IS srud-rJ rrj601 ~ --PLu ( -ecr ~ ~ Uff~1 ~ UI~ I

f3 12gt S Co+IU flo bullbull

~ ~fnli~ efT~r~ ~I Ew cJt _0

~9

[ _ ~J) +-- tI -4-_ ~O_I-_J-AAit-I~-~-_-_ _hJ~_~_~--~5f1- JI-------plusmn-cP ~g_

________ _ __wJ)Jeg_~wl( C-ampgtfgt~____ __ _

__ ( LU-ll[~- ~~_n~__ ~ ~- -_ _ ____~)~ Clt~5_1-__middot~_Ctp-v~p) ___ (h)_fL6wS CX-ItlSS cg~---J-1A_-bIllt2V~JL

se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

~S=6 ( ) ~ V o 1- rrgt CCItlISl I F ~ 0

o

~

~ amp 2 ~vgtlc2shy

e$-shy

-L-__--=-rY

bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

l0gt0 0 00 ()P

-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

b -0gt

L~_3~

~ f~ rff~ Jt1 -yenl1r J- ~ ~ ~Je ~

-p 1gt III

S )

o ~~~ 11= ~ ~ boo J ov to (-1j

) CtA) ~65nrt (_5~StJ4) eso ~ (8) gtiiOnrn tltfo(DdX) 9fb It ~ tv) oos-ro rn (~tb7J eurofa

~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

Vfl1 J

Page 3: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

bull-1 Llt~J__ ~

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114 fl f-u __ ltt

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bull ~~ d f- E~middot s ~d-ltJfltM-A

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2 1lt0gt

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R 1middotS)l(O3

amp _ 2-)lt1raquo (1gtLlu~)bull bull -

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~ lrr Cv ~~4rM)r~ cR ~-ev+S a~

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2 1lt0gt

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amp _ 2-)lt1raquo (1gtLlu~)bull bull -

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k-f

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o

~

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~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

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Page 5: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

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~lQJ 10 LV ~-hlt ~gto~ ~tamp 1J4~(J~shy

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[M 19 ~ L[middot21 C5laquon 10f ~ tv m(5)

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L Lv-Nl

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UNgt

l7- Lvgtgt ~ Ic0 -LwD

IJUA-L- PNCuze- LVMj ~ ==-f 0L

- ~IS) htJroz = v J e

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VJ-~~ IS Te ~ ~ SUVl LltJ

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l ~+- ~ IS srud-rJ rrj601 ~ --PLu ( -ecr ~ ~ Uff~1 ~ UI~ I

f3 12gt S Co+IU flo bullbull

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__ ( LU-ll[~- ~~_n~__ ~ ~- -_ _ ____~)~ Clt~5_1-__middot~_Ctp-v~p) ___ (h)_fL6wS CX-ItlSS cg~---J-1A_-bIllt2V~JL

se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

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o

~

~ amp 2 ~vgtlc2shy

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bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

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~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

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---J=k-------- -v s ee__l~kJamp--I

______ __L

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~A Svu)

-

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__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

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rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

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c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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_ivff1 ~sb ~G-tu~iV_I t-fLLtIrS-__P~~Q-f- __ ~ __ fgt(aA T _c4-le -1_ toltU ~cf)_f ~~_

lteMY p cfto40 VI (Q J tP I --ee c ~ Ll oJ a

__ ---__ -----1 ~ ==-lt+7Td 1- r=J bull

~ ~ -~~-

D-uv- I (-lt- ~ Sun +0 lt~

bull D~ L I~ 111 eclmiddotrfic I(aIV ~ SUY

bull ~~ d f- E~middot s ~d-ltJfltM-A

bull C t1lt-gt~ l~ flt s Jo~cIlltIv n bull pound- o_l e S ltLu(lnJ Qn~ ~

~ lrr Cv ~~4rM)r~ cR ~-ev+S a~

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~ 1fC1-71 ) rll1ltraltz) L r ~- L riz]LSo [0 00

-rr CI-7l c1) = t [ IIl4eC)

tmiddot

~

gt1 u amp-eor La cetgtU~ -1- r ~ 5~) an cR Cn~ Tt-iS

2 1lt0gt

r-amp-=----------

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j bull OA oliJ~ f-v -euroK UJad2 1l-1~c

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J gt--2- )l eo S- ~ a ( s ~ R ~9~~

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tlOrI - 5~ ~ ~~ to)~ ~ r I uffJ t ltJL l S Ult

R 1middotS)l(O3

amp _ 2-)lt1raquo (1gtLlu~)bull bull -

tfl~

gtX1CTI9~ 1T(~kgt1

- gt x JN rr(M4Q2c)

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--------- - ---

u h _

===E=== ~r-lt~J2--fDf--IL~- _c=_~Cd6~1s _

____ Lt -3h-gtltct-4_ ___ _

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)----I-IIJ4t _~u 4 - __ ctc~_- OtJcd____ _ __~ Sna- J (1) - 1 shy

JrCILlt ~)

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~lQJ 10 LV ~-hlt ~gto~ ~tamp 1J4~(J~shy

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M1rM oS ~ l - 1)- zz -10

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L Lv-Nl

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UNgt

l7- Lvgtgt ~ Ic0 -LwD

IJUA-L- PNCuze- LVMj ~ ==-f 0L

- ~IS) htJroz = v J e

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Solo j(u~)- 4 ~-rrl

VJ-~~ IS Te ~ ~ SUVl LltJ

----tt-----------------~----

--~

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Z 1gt0 shy6

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v 5tH P11 SIrl d) ~ DlUlAU-tntQV pct-t of

l ~+- ~ IS srud-rJ rrj601 ~ --PLu ( -ecr ~ ~ Uff~1 ~ UI~ I

f3 12gt S Co+IU flo bullbull

~ ~fnli~ efT~r~ ~I Ew cJt _0

~9

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________ _ __wJ)Jeg_~wl( C-ampgtfgt~____ __ _

__ ( LU-ll[~- ~~_n~__ ~ ~- -_ _ ____~)~ Clt~5_1-__middot~_Ctp-v~p) ___ (h)_fL6wS CX-ItlSS cg~---J-1A_-bIllt2V~JL

se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

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~S=6 ( ) ~ V o 1- rrgt CCItlISl I F ~ 0

o

~

~ amp 2 ~vgtlc2shy

e$-shy

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bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

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-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

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~A Svu)

-

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bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

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Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

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S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 7: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

1-hn-rr- -= TT C M ~ If -w TH hi)

- o

~ 1fC1-71 ) rll1ltraltz) L r ~- L riz]LSo [0 00

-rr CI-7l c1) = t [ IIl4eC)

tmiddot

~

gt1 u amp-eor La cetgtU~ -1- r ~ 5~) an cR Cn~ Tt-iS

2 1lt0gt

r-amp-=----------

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tlOrI - 5~ ~ ~~ to)~ ~ r I uffJ t ltJL l S Ult

R 1middotS)l(O3

amp _ 2-)lt1raquo (1gtLlu~)bull bull -

tfl~

gtX1CTI9~ 1T(~kgt1

- gt x JN rr(M4Q2c)

-- - -- - ------ --

--------- - ---

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JrCILlt ~)

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110 ugt 0 ~J e cf

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~lQJ 10 LV ~-hlt ~gto~ ~tamp 1J4~(J~shy

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~ bull C3 fYl(9 - )Jlo~ I ) -=((119 HmiddotQpound~2K(OJ lzJr(05~o

Moo - zg +S-()+b)=-2~g +~)-

[M 19 ~ L[middot21 C5laquon 10f ~ tv m(5)

~-kw

~ mal S ~~CL s~ ~ ~ IOb2Ro

- 6 NV1-1~~ H(jJ-1J~ 10

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M1rM oS ~ l - 1)- zz -10

reg+iA-N~I~ -Ftld-~~ (~[)~~r)

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L Lv-Nl

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l7- Lvgtgt ~ Ic0 -LwD

IJUA-L- PNCuze- LVMj ~ ==-f 0L

- ~IS) htJroz = v J e

I f- ~ In- A~~ ~1 1 laquo =lt~middot67 )(rD~g W rn-lk~

Solo j(u~)- 4 ~-rrl

VJ-~~ IS Te ~ ~ SUVl LltJ

----tt-----------------~----

--~

---~ 8

Z 1gt0 shy6

A9gt at 0-4 I +

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tiO~ ~oe3f-Q K~ ~) elL ~m N o-t

v 5tH P11 SIrl d) ~ DlUlAU-tntQV pct-t of

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~ ~fnli~ efT~r~ ~I Ew cJt _0

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0~ ~ i Hr Sishy

k-f

bull

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o

~

~ amp 2 ~vgtlc2shy

e$-shy

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bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

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-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

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---J=k-------- -v s ee__l~kJamp--I

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bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

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~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

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0~ ~ i Hr Sishy

k-f

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S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

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o

~

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c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

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-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

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rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

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l7- Lvgtgt ~ Ic0 -LwD

IJUA-L- PNCuze- LVMj ~ ==-f 0L

- ~IS) htJroz = v J e

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fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

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o

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c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

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PTCgt L5-crrdl

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s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

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Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

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l1 1 = 2)(lO~j C1l ZJd033 kJ

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Page 10: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

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~lQJ 10 LV ~-hlt ~gto~ ~tamp 1J4~(J~shy

~ (YG =--~g LSun ~ bV1~) eP 1A Clt = C7u ( 6gt-) f caltbl-ltI It ce

~ bull C3 fYl(9 - )Jlo~ I ) -=((119 HmiddotQpound~2K(OJ lzJr(05~o

Moo - zg +S-()+b)=-2~g +~)-

[M 19 ~ L[middot21 C5laquon 10f ~ tv m(5)

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- 6 NV1-1~~ H(jJ-1J~ 10

t11rM ~ ~ 1-4 (J - 1)shy(I~ ~ poundu -ltJfd ~ ru)

M1rM oS ~ l - 1)- zz -10

reg+iA-N~I~ -Ftld-~~ (~[)~~r)

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L Lv-Nl

LVD ~ - t( (11~D- ~VIIlt5) _ _1( (zr) -10 L -10 -- 10 =10

UNgt

l7- Lvgtgt ~ Ic0 -LwD

IJUA-L- PNCuze- LVMj ~ ==-f 0L

- ~IS) htJroz = v J e

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Solo j(u~)- 4 ~-rrl

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----tt-----------------~----

--~

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tiO~ ~oe3f-Q K~ ~) elL ~m N o-t

v 5tH P11 SIrl d) ~ DlUlAU-tntQV pct-t of

l ~+- ~ IS srud-rJ rrj601 ~ --PLu ( -ecr ~ ~ Uff~1 ~ UI~ I

f3 12gt S Co+IU flo bullbull

~ ~fnli~ efT~r~ ~I Ew cJt _0

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se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

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~S=6 ( ) ~ V o 1- rrgt CCItlISl I F ~ 0

o

~

~ amp 2 ~vgtlc2shy

e$-shy

-L-__--=-rY

bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

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-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

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~A Svu)

-

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-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

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IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

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PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

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_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 11: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

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~ lt(~fY~i-olIlCi- ~(l-eS ~ ~ ~~ t-1 J~

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~lQJ 10 LV ~-hlt ~gto~ ~tamp 1J4~(J~shy

~ (YG =--~g LSun ~ bV1~) eP 1A Clt = C7u ( 6gt-) f caltbl-ltI It ce

~ bull C3 fYl(9 - )Jlo~ I ) -=((119 HmiddotQpound~2K(OJ lzJr(05~o

Moo - zg +S-()+b)=-2~g +~)-

[M 19 ~ L[middot21 C5laquon 10f ~ tv m(5)

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- 6 NV1-1~~ H(jJ-1J~ 10

t11rM ~ ~ 1-4 (J - 1)shy(I~ ~ poundu -ltJfd ~ ru)

M1rM oS ~ l - 1)- zz -10

reg+iA-N~I~ -Ftld-~~ (~[)~~r)

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L Lv-Nl

LVD ~ - t( (11~D- ~VIIlt5) _ _1( (zr) -10 L -10 -- 10 =10

UNgt

l7- Lvgtgt ~ Ic0 -LwD

IJUA-L- PNCuze- LVMj ~ ==-f 0L

- ~IS) htJroz = v J e

I f- ~ In- A~~ ~1 1 laquo =lt~middot67 )(rD~g W rn-lk~

Solo j(u~)- 4 ~-rrl

VJ-~~ IS Te ~ ~ SUVl LltJ

----tt-----------------~----

--~

---~ 8

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A9gt at 0-4 I +

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tiO~ ~oe3f-Q K~ ~) elL ~m N o-t

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________ _ __wJ)Jeg_~wl( C-ampgtfgt~____ __ _

__ ( LU-ll[~- ~~_n~__ ~ ~- -_ _ ____~)~ Clt~5_1-__middot~_Ctp-v~p) ___ (h)_fL6wS CX-ItlSS cg~---J-1A_-bIllt2V~JL

se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

~S=6 ( ) ~ V o 1- rrgt CCItlISl I F ~ 0

o

~

~ amp 2 ~vgtlc2shy

e$-shy

-L-__--=-rY

bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

l0gt0 0 00 ()P

-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

b -0gt

L~_3~

~ f~ rff~ Jt1 -yenl1r J- ~ ~ ~Je ~

-p 1gt III

S )

o ~~~ 11= ~ ~ boo J ov to (-1j

) CtA) ~65nrt (_5~StJ4) eso ~ (8) gtiiOnrn tltfo(DdX) 9fb It ~ tv) oos-ro rn (~tb7J eurofa

~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 12: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

~-kw

~ mal S ~~CL s~ ~ ~ IOb2Ro

- 6 NV1-1~~ H(jJ-1J~ 10

t11rM ~ ~ 1-4 (J - 1)shy(I~ ~ poundu -ltJfd ~ ru)

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reg+iA-N~I~ -Ftld-~~ (~[)~~r)

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L Lv-Nl

LVD ~ - t( (11~D- ~VIIlt5) _ _1( (zr) -10 L -10 -- 10 =10

UNgt

l7- Lvgtgt ~ Ic0 -LwD

IJUA-L- PNCuze- LVMj ~ ==-f 0L

- ~IS) htJroz = v J e

I f- ~ In- A~~ ~1 1 laquo =lt~middot67 )(rD~g W rn-lk~

Solo j(u~)- 4 ~-rrl

VJ-~~ IS Te ~ ~ SUVl LltJ

----tt-----------------~----

--~

---~ 8

Z 1gt0 shy6

A9gt at 0-4 I +

1 UJ I fl rpound ~ eu ~ s -AoLV Bltl cI2- laIZa of ~ RL SfRC -t-nc( ~

tiO~ ~oe3f-Q K~ ~) elL ~m N o-t

v 5tH P11 SIrl d) ~ DlUlAU-tntQV pct-t of

l ~+- ~ IS srud-rJ rrj601 ~ --PLu ( -ecr ~ ~ Uff~1 ~ UI~ I

f3 12gt S Co+IU flo bullbull

~ ~fnli~ efT~r~ ~I Ew cJt _0

~9

[ _ ~J) +-- tI -4-_ ~O_I-_J-AAit-I~-~-_-_ _hJ~_~_~--~5f1- JI-------plusmn-cP ~g_

________ _ __wJ)Jeg_~wl( C-ampgtfgt~____ __ _

__ ( LU-ll[~- ~~_n~__ ~ ~- -_ _ ____~)~ Clt~5_1-__middot~_Ctp-v~p) ___ (h)_fL6wS CX-ItlSS cg~---J-1A_-bIllt2V~JL

se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

~S=6 ( ) ~ V o 1- rrgt CCItlISl I F ~ 0

o

~

~ amp 2 ~vgtlc2shy

e$-shy

-L-__--=-rY

bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

l0gt0 0 00 ()P

-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

b -0gt

L~_3~

~ f~ rff~ Jt1 -yenl1r J- ~ ~ ~Je ~

-p 1gt III

S )

o ~~~ 11= ~ ~ boo J ov to (-1j

) CtA) ~65nrt (_5~StJ4) eso ~ (8) gtiiOnrn tltfo(DdX) 9fb It ~ tv) oos-ro rn (~tb7J eurofa

~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 13: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

- ~IS) htJroz = v J e

I f- ~ In- A~~ ~1 1 laquo =lt~middot67 )(rD~g W rn-lk~

Solo j(u~)- 4 ~-rrl

VJ-~~ IS Te ~ ~ SUVl LltJ

----tt-----------------~----

--~

---~ 8

Z 1gt0 shy6

A9gt at 0-4 I +

1 UJ I fl rpound ~ eu ~ s -AoLV Bltl cI2- laIZa of ~ RL SfRC -t-nc( ~

tiO~ ~oe3f-Q K~ ~) elL ~m N o-t

v 5tH P11 SIrl d) ~ DlUlAU-tntQV pct-t of

l ~+- ~ IS srud-rJ rrj601 ~ --PLu ( -ecr ~ ~ Uff~1 ~ UI~ I

f3 12gt S Co+IU flo bullbull

~ ~fnli~ efT~r~ ~I Ew cJt _0

~9

[ _ ~J) +-- tI -4-_ ~O_I-_J-AAit-I~-~-_-_ _hJ~_~_~--~5f1- JI-------plusmn-cP ~g_

________ _ __wJ)Jeg_~wl( C-ampgtfgt~____ __ _

__ ( LU-ll[~- ~~_n~__ ~ ~- -_ _ ____~)~ Clt~5_1-__middot~_Ctp-v~p) ___ (h)_fL6wS CX-ItlSS cg~---J-1A_-bIllt2V~JL

se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

~S=6 ( ) ~ V o 1- rrgt CCItlISl I F ~ 0

o

~

~ amp 2 ~vgtlc2shy

e$-shy

-L-__--=-rY

bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

l0gt0 0 00 ()P

-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

b -0gt

L~_3~

~ f~ rff~ Jt1 -yenl1r J- ~ ~ ~Je ~

-p 1gt III

S )

o ~~~ 11= ~ ~ boo J ov to (-1j

) CtA) ~65nrt (_5~StJ4) eso ~ (8) gtiiOnrn tltfo(DdX) 9fb It ~ tv) oos-ro rn (~tb7J eurofa

~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 14: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

A9gt at 0-4 I +

1 UJ I fl rpound ~ eu ~ s -AoLV Bltl cI2- laIZa of ~ RL SfRC -t-nc( ~

tiO~ ~oe3f-Q K~ ~) elL ~m N o-t

v 5tH P11 SIrl d) ~ DlUlAU-tntQV pct-t of

l ~+- ~ IS srud-rJ rrj601 ~ --PLu ( -ecr ~ ~ Uff~1 ~ UI~ I

f3 12gt S Co+IU flo bullbull

~ ~fnli~ efT~r~ ~I Ew cJt _0

~9

[ _ ~J) +-- tI -4-_ ~O_I-_J-AAit-I~-~-_-_ _hJ~_~_~--~5f1- JI-------plusmn-cP ~g_

________ _ __wJ)Jeg_~wl( C-ampgtfgt~____ __ _

__ ( LU-ll[~- ~~_n~__ ~ ~- -_ _ ____~)~ Clt~5_1-__middot~_Ctp-v~p) ___ (h)_fL6wS CX-ItlSS cg~---J-1A_-bIllt2V~JL

se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

~S=6 ( ) ~ V o 1- rrgt CCItlISl I F ~ 0

o

~

~ amp 2 ~vgtlc2shy

e$-shy

-L-__--=-rY

bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

l0gt0 0 00 ()P

-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

b -0gt

L~_3~

~ f~ rff~ Jt1 -yenl1r J- ~ ~ ~Je ~

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~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

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bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 15: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

~9

[ _ ~J) +-- tI -4-_ ~O_I-_J-AAit-I~-~-_-_ _hJ~_~_~--~5f1- JI-------plusmn-cP ~g_

________ _ __wJ)Jeg_~wl( C-ampgtfgt~____ __ _

__ ( LU-ll[~- ~~_n~__ ~ ~- -_ _ ____~)~ Clt~5_1-__middot~_Ctp-v~p) ___ (h)_fL6wS CX-ItlSS cg~---J-1A_-bIllt2V~JL

se+nampCpound~~f-~ i-rJcl_~_ _ bull

-_ a -- ~- -db~dJ j)-ni-~A-z-e-middot ---shy~~~- -_--~---------=~- ---====_ -=middot-~if_~_

fn-h tgt-lofnlths _ - __ d F 1) ~ r-v _J l1el4 J I- ~ 4- Cy

JEv- -----=_=-_shyT ciraquo _ N ----------shy -- drvclJltlf---d )-()eJ

0~ ~ i Hr Sishy

k-f

bull

S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

~S=6 ( ) ~ V o 1- rrgt CCItlISl I F ~ 0

o

~

~ amp 2 ~vgtlc2shy

e$-shy

-L-__--=-rY

bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

l0gt0 0 00 ()P

-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

b -0gt

L~_3~

~ f~ rff~ Jt1 -yenl1r J- ~ ~ ~Je ~

-p 1gt III

S )

o ~~~ 11= ~ ~ boo J ov to (-1j

) CtA) ~65nrt (_5~StJ4) eso ~ (8) gtiiOnrn tltfo(DdX) 9fb It ~ tv) oos-ro rn (~tb7J eurofa

~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

Vfl1 J

Page 16: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

k-f

bull

S f 1 ee lJ 1 -eM0 -k s-ItJuL wLllI~~fe ~ 41 ~pound~

~S=6 ( ) ~ V o 1- rrgt CCItlISl I F ~ 0

o

~

~ amp 2 ~vgtlc2shy

e$-shy

-L-__--=-rY

bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

l0gt0 0 00 ()P

-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

b -0gt

L~_3~

~ f~ rff~ Jt1 -yenl1r J- ~ ~ ~Je ~

-p 1gt III

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) CtA) ~65nrt (_5~StJ4) eso ~ (8) gtiiOnrn tltfo(DdX) 9fb It ~ tv) oos-ro rn (~tb7J eurofa

~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

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Page 17: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

bull

c J StrnQ i IIAh Wvl tltR n enf- tv wu- ll Uw s~ ~ un ~Le~ I~

8gt dA z BvJ-v =) 8) -= B-v r~ ) ~ v =- cfgt- I~ 1 ~-

~J-Ad u~ b)o z-AC~y~2 (1 ) - a - -Je~-J

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

l0gt0 0 00 ()P

-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

b -0gt

L~_3~

~ f~ rff~ Jt1 -yenl1r J- ~ ~ ~Je ~

-p 1gt III

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~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 18: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

-- -- --------L-=============-=-=----==---- ---- -- - --- - ---shy

l0gt0 0 00 ()P

-)~ io 00pound1 m k-

---J=k-------- -v s ee__l~kJamp--I

______ __L

F- 5UI-~ T-ltln~ Iije -j n cf2 _ A ~ - ~ 30 )(1lt71 r1 0 1l1Q- rt

b -0gt

L~_3~

~ f~ rff~ Jt1 -yenl1r J- ~ ~ ~Je ~

-p 1gt III

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o ~~~ 11= ~ ~ boo J ov to (-1j

) CtA) ~65nrt (_5~StJ4) eso ~ (8) gtiiOnrn tltfo(DdX) 9fb It ~ tv) oos-ro rn (~tb7J eurofa

~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 19: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

L~_3~

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-p 1gt III

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) CtA) ~65nrt (_5~StJ4) eso ~ (8) gtiiOnrn tltfo(DdX) 9fb It ~ tv) oos-ro rn (~tb7J eurofa

~A Svu)

-

E F J =~ -z~ I

1

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 20: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

- -------- ----------- ---------- ----------- -

__ n)v _- -l middot~~_F-__ -+--yen-3qcv -- -- --- -- _- ---- - -- Fv --Iv -- shy

(tv -O=- 2~ ~) -2~~))C1(-6

----- ------- ---- J0l y -= -L~40fEv - 1371J (c =-1~7f)

bull __CDkJ n~M _tgtUYlUlshyYnegt =- -2)~~ f- C~ (hV -2middot )lerJFv- +cu

-il= rY1 v - rY1~ = -2)J2oj~ +-Crgt-C

n~jUM~t- 0t ~fa~ - bt 11 ce ~ = Le-lt lI7gtL = c LI3

PTCgt L5-crrdl

Tr~~ s+ ~ -Iu

s~ d) fr~ s 11

sgt0t ~ -RrlA g bull

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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Page 21: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

--shy -------- shy - k bull

~YVIb~= -r~( fF~d)) +c ~~ ltlo

Nl~ ~ m V =- -lt)2D~ ( S~SP)middotJgt-J +- C y o

rf so)d It +-Cd-Cu

v

C t~1 ~ $ ~ ~ aa

0pound~ d) -_I~1Cv-

IS~ CP =-Ilmiddotr-r

C-u- =-~ampI

S t 01 d- S ~ Ilt~L ~ ~ fo ~ lSI-ho ofry(e T I-lt1h

S f) s (gt-ll ~ t -f t~) Agt

PC 1 o 5111tL- (I~ L f(I v

c I)

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

Vfl1 J

Page 22: t..,. / s : F s-s-: PJ..rs:e-1 Is:courses.physics.ucsd.edu/2009/Fall/physics160/... · I /-1 1) t..,." aflA..t.' s : 1300'"''h - F . s-s-: / " PJ..rs:e-1 . C/";~,,,-" &r5

- -- - ----

e bull

~~S CMf-(Jt-caClaquootliA orishy

_ Vemiddot~-Gr

1 - C3 (J1( IOgte(S) Umiddot rx(Cf~ -7gtlt0- lr

l1 1 = 2)(lO~j C1l ZJd033 kJ

7 I

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