Ch 6C Notes pdf - V r.-v v Anflca’tion: as NWhmIS Lawn...

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Unformatted text preview: V r.-v v Anflca’tion: as NWhmIS Lawn IL 5‘1 Form in Circuhr M°*:°" m :- OniVam circxfiw mo’n‘on— a «NW—ta MO"as i" ‘1 circular pm+k a: roAioa R a.“ mush-‘4' speeJ v. UnICoru cll‘cU\of mohon {a academia Mo’non J “0644‘ +142 acceleroA-‘(on dl‘mclreg 4°.»qu “we cenhr 0C We circle. 2- Canhiee’ml auderdiou (M JCrechLJ bu)qu We uvd'zr 9? gm circle (b1 acceluafiu‘on is PerpenJQgg‘ar ’m 4%: VQJOCAY ’- u.) a). = 3‘- R 1 4-21m ,ilTQ‘z4‘fiR ('9) v = I - ,t, ‘7 °‘ 62 T: 2 m V' (UVRHH ‘- Aisha“ rcvotoflom _ 1 CZTYR‘F) a 4 1 ‘2 revoMion su. 7 a T 7: Q; 3' Wk“ an o‘o'u" MON“ in o. c.\‘rcu\o.r Paw, {4- 1‘5 acceleraolfng JtONMJ HM “MW 0; “‘9- cx‘erm‘ Pa .AU-orJM Newkmls 5&0an Km» ) 9 Verse. mus). be. exer‘LeJ on “‘2 Par’n‘de (’mmré We bank-er a: We. angular pal-L4)- {n Drier b muse Hag autiera‘tlon. Fay/“q: MV“ 4' I: on chi“); gs. wkirlal in a m‘rcuhr (MW on Hue anal a? a s-Lr‘Jn , +Le Si-fv‘n 9v“; We obj“) (LouskwaY 4m»wa «We (Lani-er a? we angle. T. HA6 5+“? breaks Hum Mae obJEA-l' Imme&?q*e\y mics 0:5: {n ax SHMSH RN. 4M3qu ’fo 'HAG OHBIM‘ (‘chulqr (,q-H‘. , S ' Ce» )N‘Qeq}q\ $0rce~ Causes Hm J Nuanihzle DY [I'LL-Hon c? Q“ Objficps VCJO‘LN’ +9 (Jan. 5 - Hg 'ere value?“ does no+ Chan e. Do no+ incluée. “cmhx'PaJrql borne I. as p. Corae VOann appfihg 2F=mq. P1475;qu agenk Suck 0.5 si—flnaé proJuce Pans! or PVSL‘ES HM} “r5 CouMeJ in ZF . ML [‘5 m, auelerQJ—poy‘ and Lalongs on +an Ma. 5&1: 0? We UJDUCH'fon, R 6. Examp‘e A 4600 k ‘nwmol-u‘ug +rawek m4. 160 km/k ov‘ a hack WCUA rQJCus 0—? Cum/AWN; 360 M. w ad Inmm‘J QWe does +ke «track eer- an we (Ogomanva. 3 F: mv‘ = L4600)(16¢ __ mm 36005 , 3900N M__ R 8'60 7- Exa (H. MP A Mass on Hm. zné a: a shine have“. M q Lom'gonlwd cn-de I 9‘; rqus R. L I M = 5.0 k3 ; L: 2.0m _£_ R ‘ -90 M ‘14 ‘4‘. (0.) Who." is We —l—ers$§on in 4L”). 54-h} ? a “"f U) How Mama rawhide.“ fer mu'mA-e clues Jrlw M055 MARE ' 2 F, 10 TOMS-HM =0 =9 1-: M3 = mg a m L h: Lsmmmo) 3 (1059 (If-2' ELK-Q" :. _ a i Fx = Ma M (2.0) (.90) -r m9 = u‘ —_- 55:! a 2 L ) t z -> Tang: 17931:. 3') $, 513mg L '{r 9 m‘,%(zna)z, 41: (Mg 3 ,/ 47:22 N, R .4 v R 3 ‘ x —‘__._ From 4N. diagram, Tan9~fi ? 3‘- R gr 2 3 l 5 rev. ‘05 =2Z£V Lz-R‘ 27: {LL R2 5% Min mm 8. 2 wk“!- ;5 41“ Minimum rohxkon Path {5‘ 44a: Mass Joe; ncl- slir L 30..» 4h: wan o: Hue codou'ner Answer in rev/sen. coz<§€cien¥ 0Q s-koJ-Ic gfi‘d’bn {s .10 R I.2 M Z Fx: M0. (—i F~=M_v7~‘m(z7rgg)‘= 4~1|‘2'MR$3z R R F, 2F,=o F; — M5 :0 ‘8 AF~=Mfl:/M(4filmg$l) a=,u4n‘ R‘r“ 1F: ‘L = L 9‘8 1W K Nae Hm Hug “at as 44“ I‘M 21B (.zo)(l.z) Govfiruiner‘s “Adam 4025 Ad 2 "0 fEV/S Jepend on +‘AQ mass 0‘? +ke Objec" hell bu Hue wall. 6‘2 MoHon in a. V1f+;co.“c;rclfi K . C:rc.u\a.r Mo‘Hon CA Far’ride up“ 1. The parpenA§cu\a.r 0: acneJaroAx‘on Spud ckamgcs‘ sped up on Pamflel (+Qmjenlr) +0 44“. ‘ooAvL‘ as. we“ a vcr-L-‘cal circle, 6:. no} unqu-M circular mokon We. way clown and slow clown on we way up. sun ‘15. Th . R 3'5 |5 0t Compenan-l- ) S‘M—e ~H\z pqu‘clg': Lat-c ause +1"; coupnnufi o: encoder-0330“ Cs 3. parauel ugdawéion Fr' MSSM9= Ma! F" afgsing 9“)“ nor-Mad amalerakon 1 11:, T‘ FN = Ma." z ‘ "a T- case: '13 Rock “kirk; in M3 R vet-4‘ka {role d T: V1 4““:sz (Logo; m(%cose+ Sl'rmé 0-: u»: low‘tsl- romt} 9:0 5° T: “‘(31. 0‘ we M‘al‘efi foln+ I 9 =(80. 50 T t M 4- Cri-\-§co.\ Speecl :37 MW seed is less Jinan v q++ . _ a“ M “A “w Joe-w with 22* x;§t‘f*n::m:'“:° o; *‘Ae’ I T - O - m Vain _‘ r “F _ a Q Q =7 V0111 : V 5‘ Examvh, A p‘urhc Lo'\'u!. co-«Jrafns w¢¥gr. Thug Mass OS: dag L°+Lle and Wed!" "6 ti) K3. The boH-le (a wkirlel in o. var“ch cx‘rde a," +143 and of a. 5+“)? .80,“ Lug IQ 44‘9- 5!’“‘°‘ D; ‘Hfle IMH'U‘a is {2 M/S 4+ “Ac IgoH-ow- up H“; Swing Mann “N; “we +Cw5Vom in +Lxe firm q} 4443 lao+kOM 0‘: 4kg §wn'n. Ufi chd is “As minimum Speecl o? 4149, E20445 DJ 44m +09 0; Has; SW‘“; S no under gyms 00+ 0: we Laurie? (M T= m<3Cose+§J 7‘ Qz'of) : I90 N M if = . 9.8 (ya) (ION + (.80) U5 ch= JRfl = ((-80H7‘8) =- 2.9 m/s 6V Examp‘a _ . (3 An amwSUW—N\ 9"“ “45 ‘0"5'53‘5 °¥ 9' Car 0" We, Emil o? a, n' {J heaM.T\rxr, car {Toads In a. circu‘ar PocHn cg fuel;st R: 5.0M 0;} 4w, conficm’t sPeeA 8.0 mls. A 56 kg Nqu sHs In “‘5 car. (a) How muck upwou—J Cora: 405$ We cox ace!" on “At “Jar “it We, lad-HM 0: We Ch‘C‘E ? U“ How mock éownwarJ SOFLE 3085: “at: car eater" DVV Hag VJ‘nen {ML is upside Aoum a+ «We 41:? c? He cu‘vcle? r\~Jer “‘3 FN~Mtj=WiA=MVL _) F": Mj+fl2: (55)(9.8)+ (so)(8.o)1 FM 5 = HooN R R 5.0 PM L 2 2. I, _ _ v = _ _. ‘ . _. L) a} Fu*M5-W\Q.-MT —7 F" M; Mg_ (50)L80) fitsouag): ‘50“ 5.0 I A rock 35 whirlu‘ in a. Vgrlrlha] (nu-d5, The, Spec; Y +L k + o e rot; Hag ins-kanth skown I5 4-0 M/s- K=L5m “A 9:46°.wkq+ a 35 ‘HM. mnanfiude a? 4‘“ rock‘s agce\e,fo.¥fon 7 them‘otr, “mere is a unarmed (LOMponQvVL a"; accent-chow and 0» I""".°‘“d ¢°"‘P°“9-""'- I _a I F? ‘ Mar I 9:40 Magh‘g = Ma? =7 09: 35"«9 2 , a.“ : V— / R 4 ‘ a an \ . 1 x“ )‘H — a: + a? °e I! K" 70! N v p + JR 1/] S (D .._, N H ll 5 3 \ (n N 6‘3 New’lonls Law as anv;“¢.";°l'\ M I. WGJSVW - got-(,9. “914-0.; on an obiac} ‘03 “at, arm-Mn or aAeH‘er L013 . 1- NtN'Lon'fi kg» 9: rm]; +a§$on - Ever 9A4”); °¥ mad-hr M U»; universe cad-hack e c. ow" garnet; Wm. a You JAM i: thee“ ("PMMM‘ b u“ "(Add o: Vf’ masses 0: Hue pnrJrIrJOs Am; hex-wech “A Mverselg eworkoml 4-0 We S‘bvare a: +l¢e 4.3+“,‘05 em. F: GMIMg r2 The direckon 0: “gm ravHoAiond rorce on eiHaer par-Heir; f: 0J0." e 5£mCJk+ lu‘ne wind? «HM, (mu-Mel“. Th9. Song afiukl L3 Par-Rd: 1 on far «J! 2 “two.” erbuak Hue or“. mark“! L 9.3.4th 2 cm lacflh‘de i ) even uu‘nmn “an Masses o$ 44m Puf’n‘du are WWW)qu The e%°a$ “ml opfosiJre armvi+ou*|‘onql Spree: LL+uJ¢¢n Lao boAius $or- M nuke.“- reackok 9001‘. 3- Vr.‘ag;9\e o"; Swutosghoy‘; 1? Jun, Mass” each exed a for“ m a Uru‘rJ "as; Hum ‘umt kkal {force on We. Han-J mass {5 “he Mach? sum 03 44nd 53 AM: $46" +wo quse5_ 4’ H’ mm be S‘nouivx Mag-F +k6 armvfiokionad S-‘orce. axed-2.4 on or sp‘n-rfi :5 +ke SnMe as #oogk Hue edirc mass 0? Mom seLere were PM; ash i’cs (Le-n+1!” inJ§u(Juq\ you“ exer- *EJ La :2. unx‘vorM aoncen+rq¥evl 0~‘('- 0 5. THE, lad S¥o~¥emen¥ is has. II“ “he L013 Hm"; H“ 5"“7'” WH’N'LLS “‘5 Dahlia t H“; sekere- F: GM” car 1 r g o. 1‘ OS mass M. Iaeflée um can-Ha, H‘s Verse 0‘; 3"“‘17 J‘Lr‘“se$‘ IAS‘IJE “Ne earn" SOME a; 4km zen-kw: mas is on We “1!. 9‘; 4kg boéfl °PP°5""“ wt tar‘Hx'J ceyd'er. This Mass was “M! O‘DAQCA you“! 9.0.“ “Re “rugs war) rac‘ucma +ke gen—e od-Lracln‘ n 4L2 LO“; *0 ‘\'\\¢ earux‘a can‘t" A’f We unhr cg “"2 “PM” H“ gm.“ 0: Emma? on 44...; boA1 woulA be zero. 6. C, is gourd prgrimen*n\\v Nassau-{A3 HM. $0.15 La*u)um 504:9» Mass Jul- at Known “ken o. {a H“: raJhJa a? “A: splnerz as known swam-hon. Tkg <:oree Echoeva moiu¢¥dy SN!“l bun“ ‘3 5M0.“ ; \u‘r cam \n. Measureé vam A Seeded balamoe- Cavenéisk $054 Me‘surecl G vb‘mg «H‘L': ‘polmnce, Two Ian-3e masses lure-t 3H dose +9 «H‘s Metal T cams: H- ho hum!- A-krouak q SmaH angle. Tk‘é changu +ke Jaregkon a We beam rflleJeJ 0:: Hm Mu'rror. 5 Mac +Lu. Scale 5'5 Var Slum “"3 M;l'|'°") ‘an :Mo.\\ Duns” com L; uncured-e1 measured. TL“ “‘3‘! is proporhoncd +0 +44: arav{+o:l-{OV\AJ yer“ F. G= 6.672 xto'quma ‘ K52 1- Examplo. wing" Come dots :- T-DN app“ end-4- on Mac ear-Ha as. H- 91le 4-ou-Iaré “We Lad-W? 83 Nwlron‘e Hun-A 1m», as 'Hna ¥orcc Mae, ea ’u Eianelt V Aim fora. 4'an apple, axed-5 on “w; eqr+L is “we Same. I"Hr\ «mark on Mae app\e —> 7-0N . Threw. 1600 K3 Mmhseé we oJc Ha; “Mg. Fina We go“); vcr Fees 0? an £$u;lm*uut +fiq'\ale whose siJes Are end. no». 0mg +wo a? Hue. Masses excfl' on We Mira. Ad» $orce II FM 7-: 2-Vl-r'HLAI comronand' o? F (The kofiigvd-cd gnaw-sneak 0: Has hug F's qr: e-Bunl cum! opposd'e and so cancel) M. OM F”: 2‘FC°59=Z'F‘EL-= EF=EGMM 2 - _ r2 = (Ji)(e.c7xlo ")(Io°o)2 : hum—«(N (LO): Tk‘ ¥°r°e (5 Ju‘rEd'eA Jomnwarl ' EV¢V\ 9" 44‘": sceeque ‘5 SMqH . 9. We13k+— 'Hu resuHan’r amuHaA-u'onu fi-‘oru. exec-+24 on a Man \Miverse - Nut" HA3 ear +135 sun-5%“, you can Aug evrhffikl *0 We eqr4—L ‘s oJ'Jr Pac‘Hon . 50A: We, we€3k+ a? an 0‘,‘ ’ J lar%e L301; - .o. Ignodna ‘Hrw. eWeds 0‘; HM. Mr‘uAIS DLJ. ad's; HA2 ‘Vorce or grqv§+m+fonal “+4” "Q‘-+“° H 19°43 5; «1‘ oner Lakes in aansidgr we; In}:- 0.5 (New om phand or 044w; large. «3- is Joe almos’r anhrely 4-0 +1“ qund' or ro+oJrCon I _ i (J M M 3 _ G M5 ‘" ‘ “"3 a: 7 ‘ 422 N911. “ad a CS Mae. SAMe $or 0-“ tr10‘1‘3351 (M comm“ m)”- H, You cam use = GM: .7 M. = 4:— "° Jehrmu'm. Hue Mass 0? “a: “FHA. L5 R1 12. Exqmflt 1h; mass o$ Hm; ecu-Ha Me: 538x01!“ The News as we emu 2L: e-ssxm‘ M Th; Mass 0? +1“; 5w. MS a (.99 x10“ MS The Affiomce d Vrom +kg. In“. +9 +1“, so» = L43xw“ M whaA is We rmho as N gmvHAI-ional $OFLe. 8)::th be Hy; 0(th ha H“. Wu $or am objcd on “W. EQH-kls Sun's:ch .7 Fa, GNN/R: M. ki)1‘ 5.98;: w“ <‘ [Alston )1 : 1620 t We. have ung rs éMsn /41 Ms R4 h99x1033 G-Sfixlo" J z d_gs ] ear“. ‘1: 4kg iravi'hkmad $0M rs. Exam Me. I: A“ 053“) wflskfi 7-5” on emu-An W» how «ugh would H- we; Muss cg moon M“: 7-36X‘0u' K3 MA mad ,4“ 6M“u/r; S _ Mu . NE 6 Me 31/ f? M! r“ :2 6 - M (“a ‘1 15 .3suo 6-38Mo : u) . ud _-\ _ a .3. ‘“ ‘ Mt. PM) 5.93on - 3 M 5—4 Gro-vHaHonoJ Fiehi 3“ on 4L", moon? Ms a? Mom r“: 1.74 xlobm . Mel 5.93xloz‘191 re v $.39no‘m 3 \. 1“ HM. rawHMionoA CCgH “napk, You Hunk oi a mass as cread~ «we sense Surrounéin W‘ The. eke. You uhsoda‘i‘e a. veg, r A 5 umHn an a. xterm. F=M ad- a, Ptau’. vJ are. 2. A small mass Can la: pkaceé a4 a cane! a. +555: Ma55) Is Brauflakovxa‘ fldd. 3' Ens'X-eml o; m‘w\o.¥in ‘13 a change o..+ eacL pm‘n‘l: in n a is mud a arwl+a+Komt .‘gld. To ngdln Ha! Cali, «a paid m seam. A ar4'ialg, a? mass “HA8 spawfafiono.‘ or“ £567.. poQ-H +0 measure 4-Lxe af‘GVII'l'u‘HOI’LQ.‘ 9.11:1. This Mass! 5M0.“ encodln +L‘a4 H- kns no significavd» £5?ng on “45 M afar-tum; 41M. :09“: beJ-wun 4mm LoJ-‘u Aired—l w; 4.L\;AL¢ 03? OM load: as crew‘s c. aranAHOAaA Qua. 1%... g .‘gLJ axed-s an gorge on #he 55mm! IaoJa. 4. gravdoJ-Ignad $iel$ 3. = f— - S‘m‘ce P" ‘H‘H‘ "4°55 M Mmanfl’dée 13$ 5 = 3: GM 3 H“; Jirac‘Fon o? l 5. Tkg <"o<\'o.\ aer1*a\'[om\ 95¢; 0A a Sub oi We, inAiuiduo.‘ Masses Hm; a vulva“ you com 3 ‘5 Mar-vi Mass M. pain-X 5: HM: vephr SUM 05‘ 44."; ravi+a+-onql Pro‘idce. Hm: STrelA. I? you know we :I‘PJA 11+ amv‘mkly coqubAc ‘HAC qrav§+&*“°"¢l gone cul- Hm“ pobdz. #- Carcwflqhoua.‘ “a” V°fi¢5 Cram out rold- Lo awn-“urn Grgn+atiomt {an - amok (ain’t in some has a vedor assoc§u+E¢l Wm]. (4:. 1- I¢ Mac. on‘ Sarge, Hun} auJb cm an aloe 09 HM. objec’r aaDuMé Hue amvHMvo-MJJ 8' . E xa-Mplc. JM A ring n§ raéidb R has mass M- is h'l—kg mm+ahanal . k Sielé a‘l’q. dn‘flance A gram Ha: PM 7 ' s a“ .5 "hand ‘I - _ _. — I _. ’x “dd J: a. Veal'or .5 graufimfionm game, Hm Hag acceleradn'o-A “MA. a. [+5 Ins+am+aneovs laced-(on. . 3 ‘ -‘ Wyn-lawm- 4. we . 9 Ha: I and l r f “a D - NOR “had HM- cuu has"? W“ 9 ms 61‘ 0.5!. Na “My 05“ no y umponeu+- The com onaM-s 09 ravflfimnd Sign! Act. 4» —— A —> P 5 Parl’u‘cJes on onosfl‘e siées oi {JAE (in a": e uql in w- m-hule 5"; DPfosde M Ail-taken? 1, a3 3,; Joe +o a furl-{ch 0v M065 AM on He rma (5 3‘: GM: cuse=6¢_~. J r R"'4‘ W The {"ohal $2.”:le loo. *0 a“ H“, AM‘: on we rma Eb — L— ’Md ( no+cz wkav‘ J {.5 pasJ-ch, 3 m'an .‘n 3 .. 1 t 3/1 \ ‘ k S (R +4 ) HA9. “230%.”. Aura; on L6 stPose, a 'Hn‘n skgll has $0401 Moss M. W: com Aiw‘Jo. Mm Ska“ :«b. w“ rinaé amcl a“ 4L: cod-rib...th +0 3 4w. #0 “wk HA3 M may {.0 $3an H"; gravibhnnd field ad' a poi/J r unC’Is gram We cen‘tr a? 44w; shell, 4% 3 ~ Gd (AM) (“1+ 61):]! J is “an. kahuna. grow: Una ring k Poi/vi P. A is {-0 We rigké o? +LW. HAS. x+4=r -; a: r—x:F-°~C°59 {5 posfkvg S P JM: (mass far on“ arag)( draumcerusce o? HASH mI'JH‘ of n‘ng) = Q (Ina 8M9) (046) =(%) (21Ta3fa9)(a49) : %S;neJQ ‘l M . gm: 5 ~a(r-acobs)(-2.sme 49) ° [ LQSine)1+ (r—aCose)‘] 2 ° [a‘Scn‘9+r‘-2arCose+Q'cps “er/l = GM 'lc (aSiuQCose‘ fs‘fle) ‘6 = (,M 5‘“ aSMQCoSQ 19 __ GM 7: rims JG 25 K T . 3 fi = & Stamenocose‘rfle ° E (L- Zar C069 +421,“ [rt-ZarCose +£3.13]: 1 a [r3_zarc°59+a1]5/l 1- __‘ls"fi_'\ec°5ede_ = is ( “rs;"e)( CMQJJG _ J-Jqu ‘ l— uv— .L VJU [r‘-ZarCose+a"|3/z '- [ru zorcose+a3~11h _ r — r Ff U: (.059 JV : L3 €n+¢3ra+fon fnr+$ , I " I! 2 [f‘- Zar C059 fa‘l z du= ~Scn9A9 V: ‘1 h— I/ ("-2arCosei-a13 ‘ 5 a, Sine C039 49 3/ ‘1 _ 1 ElsinQJQ x. _ -— E ['1‘ 2A: Cobe*°~l-l I. r [r"- Zm- C039 +191“ Zr [r‘- Zar C059 +o‘1'h I S 2 3M9 69 _ _ 1 g 24! SMQ 49 _ l l 1. V2 "‘ a. — —- x _ _ _ 2|“ [r1_21rCo:e+°‘]/z 2dr: ['1‘ 2‘“ use+a11yl 0:1 [ r zarcose 4.“ 1 GM “' «we CosO A9 - ‘ GM case " I, TC I a E ‘ —— \- . _ GM ; ; ' 2 j" ['1‘ ZKYCD$9+¢113I2 2!” [rt- 2m— C‘ose+a‘]l‘ > 2'? ( [rx- ZarCose +0. 1 ) a I7 = ‘GA 5—” _~ I GM 2'. J'z“' 2""5‘ I r"-an+a") 2"" "“h’q‘é — W) = GM ( I I ~ x + x 4,. GM " Hr-M‘ a?» (40%)“ ~ W) L 1‘ ' 9 fl ‘ I 15 4mg = _c.M zusmew = GM( 1‘ z -5 ) 2 ° [rx‘zm’g’efl‘zrh 4&- o [rfiamcosew‘l’l‘ 20; L‘- Za‘rcwel‘m] a 1 I GM " I; (Jr’fielari—a" ['1‘1°'+Qz) ‘ ' G"; W w- J“ ) 2 I l :GM IN _._ 6M {x GM( ~5) Th», 30’) 7:. (W + W )+ “27:1,L 0’4): " fun»): ) + ‘4" JCP+A)L (r-a)‘ u ll A) Now, suppose. r<a (P is insiAQ Hue she") U (,_a\1 = lr—a.\ : a-r M Q 1 I G_M. _ _ cm ‘ _~‘_) g 3 1r (4hr + o+r ) + ’lnr" (to, ') La+r)) + 27 q+r 0L_r ll GM. ((mrHtmr) ) + GM (-3) + GM ((o-d- (a-H‘) Zr (A-r)(a+r} zqu 24 gout-r) (a—r) fl GM 2a. 2r T) ‘Z‘L‘Q + M (“—3- a“ " 20.r 2a al_r& M ‘ L r "|' at a z_r1. 5M(QL)—GA_G_AA(9) 0. : GM (q! _(al_r1)_flrz) :0 On‘ Lm‘—r‘) Tkus’ $0,» rco, 3:0. The. aravC+oAfOnal Q‘elJ :5 zero gvuijerc, .‘nfiJe “we 5L1“. 8) Now , surges: rza. (P $5 on or mAsiJg «Hue ska“) \th-q)a z [r-ql : r-a 3m: M(_‘.+' y, GM f—a r+q zarl = g£((ma)+cr—M )+ GM (("Ql~(r+al)+ %_ (FIT- r17) (4“) + %‘§((~a)—('+=~)) ("‘“CH'O” Zaf” (r+al(r—a) = fl 2r )- GM Uh“. GM —24 Zr (1-0} zafz T ,L‘az = GM _. GM __ (,M , _. 6M r‘..al 77: r1_av. r1. Thus, when r20», ‘Hne ska“ kas Hui sump. gravfilrakonak e$§ed 9.5 a. Paid Mass ConcuA-mhé 0.} We Leah; c? We skeu- The minus sign .‘n «CM “Add”, um.) 'Fne Yaw Pom-‘5 in Hm Atrezl-ron *‘owarg HM. canhr a: We Ska“, r; The m’rk can in Naval“ +9 sou?“ :S on him”! noMLer I)c coma-xth skdls. DI: you are. no; and: 4-H. ear-W, and. 5L1.“ cud-s 0.5 0 :S‘ He Mass were concanlrrth a4 44w, ear-Hn‘s can-hr. The. +o’ccu mass OS a.“ skeHs is JAM MM; Me oi “at tar-Ha, so Mag ruvi*a‘\'ionad eff“); 0;: 44¢ GWAA‘ {5 “A: SQMQ. 0.5 a. Pan-l- Mass Me locn‘l’eA 0:} “at acuunls can-ter‘ '0 2.) 31¢ You are basil: 45mg, ear’rk) stalls $Ur-We; gram “In EON-Vs can-Lu Hun yew" lomkon \mwc no ravfla‘honw‘ EVVQLL We. Owl; skells WW? flow¥ribu5re *0 44¢ "Iw‘l'od‘foml 9‘03 03 90M“ Q are 4%: one; loud-d closer +0 C. ‘Hnam Q. Wken insige Mu. “LAM, :3: és as S +Le, MAM local-9,3 a." grain JCs+omce from ‘H‘e 69W“? 4&1“ exi‘sL The, araval'ional mdé at! Q {s 44“; Sang a5 44“ Qua ~Hna+ woulJ be. Frag!qu 5‘? 4kg ear-W Lad ranus r own! Q WM 0n HA3 Surface 0: -l~\m'5 Sumner ear+h« / 1 l 1 3 I J =om: fi=i=3m —>Mc=Me £3) 3 r1 a V c — GM 3-—‘ r Tkus, I: a. ku‘e coulcl Lg Jrilled *hfoualn Hag “ml.” Dg‘ “he. ear-H", {4‘ would be K8 9’0"“! “ML 3 Menus e: linfia't wH-k itshmgg Crown “‘3 em. 44‘ :5 °5 \lo" W": “5‘45 44'“ 9-0-"H" - Once ou-‘siJc 4kg cqruq) a Acct-eases umH‘ ACb'l'owxce Qam Mae, car-W's can'hzr. Tke mqank+u<le a? a .‘s Proporxlmnql +0 7'; 9w r326 C(vd'if (as [Chg I r'zc ' W ‘~ “Him W'— Wm-Nle. projedue MO‘W") 0"- OASOMQ, Hm} 4M2. nece‘cfonh‘ov‘ Am, {-0 grow“; is mask“; :or QM pair‘s on “we #rajad-or . chs assumpkon is Vaha {g to») Una pro‘iEJHe shy; dose 40 -\—\r\¢ god-Ha“ 5°V$°W€ (.5 A a““""’ “‘0‘ varies 0.6 in ) wkere f ‘5 'HAE Ais‘hmce groan We Carder o? +ke cow-H" 41; MM; Proseckk) “No Lb) -\-\,‘¢ Ashmge hm:ch b3 Hm, Prod‘que (a small (S H um"! Hun Hue mani‘dkL 0: a IRA-bk“ \u. OOMHxn’r, LU* We Au‘rarJ’ion O; 8 ckmnacsz J an» “) air resEs’mncz com ‘02 negleerJ 2. Um!“ a. £0"... Aim-t is Airecfi'eA Ewan; a (Lewd-er wH—k Maanflula Provor'l‘x‘onn.‘ +0 JP: ) HM. ProjgcA’Je‘s 'd—k may he am gnu)“, (LirdeJ Parabola or hjpubolm. 3. 1: . “gunk, has n circu‘ar or\ui" NH’M cows¥mn¥ valooM-s‘ v Hm“ Hm, SoA-L“;+B experiences t “n “ughxuhw. 1; éiruA-OJ *ommrtl Mae uvfier o: Hm orbfl. The, $30.14 Hm} Prow'deé 4M9, accderoA-Ion is HM. 3mvi-\—w\—ionq\ (ad—*radx‘on o?- ‘Hw. amt-HM 11.95 . GMM t M: mass 0: {AN-k F — r2 : Mn. = My m‘ mass ofi sflelh‘h r r = MAN: 0? orbH v: GM v: orbihu spuL \ r 4' V: L?“ = L1" =7 L“? : GM =3 4193': GM .7 1:1- 41r‘ r3 “"5 1" T ' 1‘." T ' W 3 This {a Kepbr‘s Suov‘A lam.) 'v 7510: F 5- Tke eobua¥fons Age-heel above, apphd *0 Mn mule Sa¥du+e¢ or naAural Loéie; (fit-ch3 amonr noukn-al 5013. Thus, Hue orLH‘fi a? We thdrs around ~er $0“ aP Iced-ark moons oU'OmAA Uuefier are. 3°“:va L3 Hag above physics. 4,. Ke9\er Juana-ed Hm}: Hue, orbi’rs 05 Ha: ptomds are menu-LA droulqr euu'pses and +kw~ we. PU'NJA OS on V‘qng'xls orb” :5 Propor<Hongl +0 ‘H'u. orLH-ql radius +0 Hue, 3/2 power. “‘“e Nscoveries wtre bud on Snake‘s obscrvakons. Ne.an skong Mud We, laws 0? €\O.V\e+a.r «when discoverecl b3 Keflu “NH 519, «Mound 056.3 hts \o-v-J 0‘ aI‘MHaAMA and laws 03‘ «no-lion- "l — E mangle, 2'1 Jupflu‘s mass "a \.89x m K}. CquM-o, one 0: Ju et'hr's Moons; kas mass "(.35 xmzz K3 - Camsh orLC’ts Jupiter L88xl09 M Yum +ke unhr or Jop‘hr. whaA is “at etc-{ml o? dmush's orbi-l- 3 G: 6.67xlo‘” DJ-M‘ ‘3 3 GMM - mv‘ m LU" Y .9 GM 411% 3 — ' " r — ' 3‘ =7 T: 1.11 l’ [-1 r 31’ r). ‘3 ~61“ '15: 21: (“33“”) H ._. I45 xxo‘s - IL 1 clays Lc.b7no"‘)u.88xlo ) {9 ...
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Ch 6C Notes pdf - V r.-v v Anflca’tion: as NWhmIS Lawn...

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