lec03 - RELATIVISTIC KINEMATICS: A. COMPREHENSIVE EXAMPLE A...

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Unformatted text preview: RELATIVISTIC KINEMATICS: A. COMPREHENSIVE EXAMPLE A spaceship of proper length 100 or moves at 0.?c relative to earth. A woman at the rear of the ship fires a bquet towards the front at a speed of 0.9c relative to herself. (a) Hovlr fast is the bullet relative to earth? (In) What is the length of the ship according to the woman, the bullet, and (iii) earth observers? (e) Hos.r long will it take the bullet to reach the front of the ship, according to the woman, the bullet, and earth observers? FAIfil—‘f STRMé‘HTFflRUFlfiDJ EXCEPT FDR Farr (CJUEE) wmcy Is ,4 8H TNCK'I'. a) LET K: anew, 1:“: 9mm “when” -.= ELM-LET. 'rwgu THE mm: Cauleus FIRE: 'v'r— fi-Tc, ux == +.‘?c. "X " H W: = Manx-"Le 5 25.3 '35 H a: it Jr) 5) WHEN: 5th HT REST] 50 Lufilm’ Wu! ii)Bu1.LE-r:smr's arse}: 15 .‘fc, so Lgr- madlv-C-fi“ = ~'-=) I) woman: L --= 7 I00 " -" —--"' = Tax}!!! 5] IS .‘Ic, so t”... A: 3 ‘ ' 54553 ‘9 BULLET: Lsfirli-SJ N Am: SHIPS P ReLMJva 1'5: guuear Is .‘f‘cJ 55 ?t =-"- .=-' 3 fig: vi. I fine": 3 if?) EHR'TH: 5mg LENETH Lei 7mm HM}: Bung-r35 SPEED —..= .63.: F’an Paar (m)! 5,3 .. 7f. - 59‘“ MB 59‘! :L‘E 1: a!“ 1: 2.9‘3mfn Ts No wnw syn-2.6%! 33:1: -:- 7!.4 + .TctE a _, 7m. I —-7 j} :5? fig - '23: vs SULFS'IIO 5, use Lemur-x Tfififls mam-raw! HMOTHER $93!: no surr's Heme- K’J We» BULLET Rennie: BULLe-r 592.4 MR5 THEN 7L4“, f: 3.79 Mai-3'5, HCCOFIIM n:- EHRTH weakens} a ancesflif fixes 2.9 mm 1'9 maven. Hem EHRTH To H CERTMM STHE. ficcaglamg: 7-,, aESERVEKS m THE sun: aw LON; Jul: THE "rmr TAKE? :1.) I»:an THEN :25: 959.25 43 L555 THHM 2c? fangs HMSMEK= E. EVE-H i: LEAUE Efllfl. EVEIJTR: figmvg arr s—rax, E‘fEMTS ARE fig]: W SflfiE Lficflflfiu m Eann‘s EEFgggucE FMHE, Eu-r In: SHIPS FRHH‘Z‘, IT'S n-r 3657; an EHR‘TH M1: was ME fit—WM 3?. EVENTS. l Rm 1 . PE, occur. n-r same Em LflflflTrDflJ “new ET “I 'T'Jl'é 5M!“ ITSE!’ f so SHIP measure“ FMPER Tune 1;. Eflfifi' magmas mars}: rm; 1-,; 317;: PW) Tth, SML‘E gpl‘ DOPPLeK EFFECT FM um?- JJIFFEREHT floLflRS of LM'H‘I cokaesfafl: 1'9 DIFFERENT FREéLUEn-MIES, MEAWAED m crews PEER swam?!) pf. "HEJE'TE" (Hg). SUFPnse Pt SOUR-CE ear-rs LMHT of FREQUEHCV 15,. IF sauace 9ND Maw»: ME IN RELRTJVE firm-HawJ REcEJI/éfi (ma-z. assent; Pr mFFERWT RENEW-CY: 1). M LET v =2 KELRTIVQ $1966.13 OF mama?» mu: v figcgweh. MFME (35:: E— 1? 5001252 M1: RECEIVER REE RE=EDIM6: [Hz IF sauna? Mb Recmve'x HR; hrfxoncww: l-i' wrflv J’— O lwrg >115. DOPPLER EFFECT FOR LIGHT A physicist was arrested for running a red light. He pleaded innocent, claiming that since his car was APPROACHING the red trafiic light, the light un- derwent a Doppler shift and looked green to him. The judge made a quick calculation, and then ac- quitted the physicist of running a red light. However, she found him guilt}r of speeding, and assigned a le- nient fine of only $1 for each mph that the physicist exceeded the speed limit. What was the fine? Average frequency of red light: 4.84 x 1014 Hz Average frequency of green light: 5.56 2»: 10” H z .r A! CM HFFRuHcfli-s LMH-g in 3):)? —-— fl rifle, I 90% "DEED :2 +.34-:jp*fl'3. .. __ x M- .” g: PGREEH "" 5'56 f” H}- H-g v 1 6.55m” 1: 13: “HP #(yfi) H H-jl-wmm 9.32 3 I+f$ = L31 "J‘.'33P $135 fit .3. Sgt-E" SD V5f3c:(,f33X3:-rm$w¢) .7 @ vs. wwa" "Pi/5 .-: ‘LEHp MPH. so far: we £5 $‘13 mmzm_ MINUS 'T'HE SPEEJJ LIMIT Df‘" 55. 5 F551; 'T'Rn rs Ponce can M REST EMJTS n swam. 13F ya =2snn NH} FIT an HFPRaflCHfué cam TS DFF VideM‘s am: an}; SIFHAL R EFL Em: “mm-r Mgfis M55 fiEwRus To DDFFLER ugh-r, REFL65T€fi FRe‘flUgucr JAM“: 25oa_ was HH3_ Fm]:- Cfifl's steam, 5TB? I: *____+ .. PDLIcE ls flflfice‘ 1):: yo wcwm :s RECEwéR, ’ 5-115? 2: am: Rena-rm} 7;}... WHIM 15. 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THE} Fag, SHocK emu 5:9 No FASTEK ’I'h‘f’rN THE SPEED 91‘ LMH-r' RUNNER'S Ream FERME: Baku IS fifiHTRfithED? _" so rr 5mm: My“ HRU E-I EWEL a (“51+ Tue me "e “'1'” WW6"; THE LEFT em M" T1955 Pane STRRTS mpww; -1'.a THE may-I; flLflNF mm 1193' MW. BUT THE Rum—r 6m 0F THE PflLE maasm’T "FEEL," THE rmpnc'r JMSTflMffldfi-"DUSLT’ FM 24 so 11' Remws n-r REST MILE! _. :% Basal ENVELOPS THE swims} mm THE Em: Péfisw was 5:05.? THE 30.9121. 55mg; of we: FoLE THEM THE mm ‘FEHHLLY FEELS fig :MPflcT... ...
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lec03 - RELATIVISTIC KINEMATICS: A. COMPREHENSIVE EXAMPLE A...

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