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# 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 m moves at 0.7:: relative to earth. A woman at the rear of the ship ﬁres a bullet towards the front at a speed of 0.9c relative to herself. or D—s'ﬂc 4:743- (a) How fast is the bullet relative to earth? (b) What is the length of the ship according to (i) the woman, (ii) the bullet, and (iii) earth observers? (c) How long will it take the bullet to reach the front of the ship, according to (i) the mman, (ii) the bullet, and (iii) earth observers? FPIMLY STRHIEHTFQRURFEDJ EXCEPT Pas PART (QUE?) (amen Is ,4 Err TRICKY, a) LET Km: EHRTH’ K’s.- SHIP, "omen": BULL-E12 we» “THE mm: 1' commaus ME: 11': £3.79, ux :s +.?c. Ux'r'i'v “it: + 7:. Lu}: ”3“! W; = {ﬁg-.159 : 2.43 *‘55' H E: Jr) D WMHM: 5m? H1" gags-rJ 5:: Lu: m an, ii) BULLET: smr's grim: 15.?c so _- .. a L; - wadl m =— We Ens-rn- smr's srem- is .. I“: 55 —' I991" MI: Int-LE1“: SFEQ =3 '7 womnu- Lu, .- 7 :__q___a -l Terra-F s.) i5 .‘TC, So 1:” Tc. __ 3_ 1 i9 BULLET: LB 59-3 am My sums SPEEﬂ uf) EHR'TH: smr's LENETH Lei 7!.4‘w am» Farmer’s 51953;; := .‘H: Fﬂm PHLT (4-0, 5.9 73.1}- Cnﬂ Mi 58‘! ;t6 :— E; 1:: ﬂ.¥3KlD-?5 2. No my! TH6 sum mves A: VEH- As rug Bums-r1 BULLET goes WIRE THM 7! (ran Astute :1 71.4 + .Tctg =3» sta- -'- 3% '5 . I: use mam-r: TEAMS Fawawwf we» RULL‘E’T £69495. :- 3. Vﬁnﬂt 75, nmafﬂeﬁ Ha! I» surfs FRME 115’; THE rim“; x —..= zoom am: 7!: .— 3ch so Eff—m W ﬁﬁﬁuﬂlw Ta angry meagre-sag a EPHCESW THEE-*5 20 Vaﬂss Ta mqusa. FEM Eng-n: 1'0 n GGRTHW s-rﬂt. Mann)“: 1—; assesvexs m THE 5m; aw Low; IUD THE “FRI? TAKE? a.) make ‘THHN :20 VEﬂKS A} LESS Tim: at? ranks \$115963: 3. Ema-r r: LEHUE 53m. wan-r2: game m— s-rnx, evens an E23 IN same Lﬁd’ﬂﬂﬂu m gun's EngchE furry, BUT IN smris Fianna, IT'S n-r 3365?; an EHRTH M}: 51‘»: ME fit-WM 3‘1". Even-rs. I HAD 2 5 © FE, occur. 91' same :3 maﬁa”, NAMELH 31' we“ surf ifs-ELF f 50 3H1? “engages FMPER TIME? 1;, EMT" MEMUIGS JlLﬂTEl: rm; 1-,, 37;} PW) Taffy, 5mm V>L DIFFEREHT can“ of Lt“? conﬁrm.» w DIFFERENT Renew-ties, ”27:5qu {.1 CYCLES P62 salami) we ”HER'TE" 01;). SUFFnSe 3 Savage- ram-rs man-r of Fmaueucv 3),. rr' 5009.56 nu.» £942va an m RELRTJVE mm“; Reserveﬁ Lou-r— osseme R MFHREM Fﬁzauzmcv: a). RELATIVG Sﬂfﬁm 0F 59Vﬁ49 9N1?- JF SOURCE MU) RECEIVER REE REﬁgbiﬁér , 1—}: arrxoacmw : IF 59H“? M1: Recesve'x FIRE H'F 7) 5"— v0 ﬂ—IWE > I". 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 trafﬁc 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 guilty of speeding, and assigned a le- nient ﬁne of onl}r \$1 for each mph that the physicist exceeded the speed limit. What was the ﬁne? Average frequency of red light: 4.34 :s 1014 Hz Average frequency of green light: 5.56 x 1014 H .s '50 fHE FINE I5 \$ ‘13 M:LL¢9N, muus 'T'HB SPEEJJ LIMIT DF 55'_ s FEED TRH r5 Pal-WE CAR FIT RES-T EMJTs Fl SIGMAL 5F :25!” NH; A1" an HFFAoHCHrué can Si‘HﬁL REFLEﬁTS 9F? Warfms am: M.» Tu .‘DBFFLER um-r Lam-H MEASHEES Ran—ewe“; Fﬂsﬂue'uﬂ yum." 25m: ans H#3_ STE? ]: ___._.... PDLICE 15 saying, 3);: 3.: Jiiﬁ . VICTIM IS Rscﬁwék . STEP 2: ﬁF-ﬁiﬁ Renec'rmj -——--. HF “151"” *5 swat-\$6.: vREFL: vIV PF Poucf rs 3555M? - __ :2 HE _. a “73’ H- ” 9005' ED 1:"? :=- ﬂ = TEL—— -..-= Lﬂﬂﬂﬂﬂﬂl Hp REEF , cannon: v g _-_--—-—'-""_"" ---" I... '3? 2.309900: '5' a H V ( anaemia 3"“? “’5 5” ‘3‘ "' 2.9900002 POLE. " FWD "‘ BREM FHKRDDX can. fans. Fun. 331393(m;)j_ PRDFEII. LEJUE-TH DF Fat—E 15 51:23ng 'THM motes LENGTH 0F 39m, HT REST FﬂLE Maw-r FIT wsrbg grim} BUT Frau Ram's. n-r Vii! HIEFH SPEED. C ”:96 Pow rs LEM-rH-cmwmcfm, 5:: H taunt. FIT rustle THE 39w! ﬂENHRKﬁEl-V I’Bﬂb PERsaJ-J an iv“. FERsaM cwses THE man: .‘Donﬁ, Tﬂﬂfﬂnm THE ammga msme.’ POLE comes To MWJr so H‘s Le'wmﬂ w THE PMs-Hub: BHRM fARﬂMXJ DP Wu “FHMK 1.) H5 News ears mama we may Mama: A w an, REFEREAJCE ﬂames, —-I- K6“! T0 RESOLUTMH 0F mmDUX: u THE PDLE HI-rs “THE BMK 9F IAHE F051" :5 Tue BARN, THE aﬂoat: of IMF NM TRHNSMITTEI: ms-m NTANEpUSL'f F Maw 1112' Lemar-TH 0?" TM? PoLé'. sHacK can: 5:9 No fAsTER TWIN Tug sFEBp 0F LMHT, Rama‘s Rag-2.5T Fﬁnms: 13mm :5 tau-mama) ——I!‘ So if SHULJI :45ng Hﬁvé EWﬁLnPé-b Tue Pat-E '1.- PrHER mmc'r, THE LEFT EM.» .9? ﬁg PM? S'r'ﬂR-rs mwug; '11:! THE £2533 awn“: m-rH 1‘95 Emu), BUT THé mm em. 9F THE PQLE ‘ THE [Mﬁﬁﬂ‘r Jusfﬂﬂfwﬁmﬁg mags» ’1' ”FEEL' an IT REMAINS wume! ﬂ-r REST“ Fiﬁ A BAR» ENVELOPS THE xuwsg hm THE Ema P6512594) we: was; THE MM. THEM THE mm 5w;- 0F THE: fem Human! FEELS THE maﬁa-r... ...
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lec03 - RELATIVISTIC KINEMATICS A COMPREHENSIVE EXAMPLE A...

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