# 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. Saving yam: Luv-Ff; Pause ls Reamer. = 1; mi [J trig ' H’ 3} 5, 5:: FE : Rm. 1: 259.9. my 5 Loaﬂmm ya REEF _ . 0090002. f in; I =3? 3— 2.0009951 L" 8 H V (.Maaaoa 3:“: A) 59 '- 3: :5 2.090003): == 30% we 67 mFH_ '- POLE -* Mb * BEEN FHKRbDX [Hui fawn. ﬁm. g; 393 (mall PﬁoFEn LEHE-TH 0F Frill-E 15 HEBTER “THPIN Fﬁof'Eﬁ LENE'TH 0F REM-J4. mrs .IDE EM: rd, 5-H 59551:... HT REST, FEM—E wau‘w' Fr—r BUT mm} Runs M vex? Ht :é‘fﬁ/ POLE f5 LENGTH‘CﬂN‘YﬂﬁdTEJJ 5.9 r-r mm. Fm- was THE 39w! ﬁENHRKﬁBLV 3m; Pensau ﬂu EVIL. PEasau (31.0355 THE BM» I'D-9“: TRﬁf'anJG— THE RWUMER mains," POLE CHME'S T0 Res-rJr 59 H5 Lﬂéﬁ,‘ In; THE Pal—5*HND- BﬂRM PARADDXJ .‘DV VDU ‘THWK 001146 My Cor-12\$ smaswar 007' “THE ﬂay—r may}? or THE may“; was THE PDLE HITS THE Back. DF' Tue BARNJ THE SHME 0F )MFﬂCT Is New: TRANS raw-rem. nus-m N-mugwsc y ﬂLaNé THE L6N¢9TH 0? 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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