HW1 - 3w 1. A race horse can travel down a 2000 m...

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Unformatted text preview: 3w 1. A race horse can travel down a 2000 m straightaway at a speed of 0.9c. a) How long does it take the horse to run the straightaway according to a timer sitting in the grandstand? . b) From the jockey's perspective, the length of the straightaway appears to be less than 2000 In. What is the apparent length? c) How long does it take for the horse to run the straightaway according to the jockey? d) What would the jockey calculate for the speed of the horse‘REtATIVfi T0 TTl‘E WWW) 7; 2. High-energy particles are obServed in laboratories by photographing the tracks they leave in certain detectors. The length of the track depends on the speed of the particle and its lifetime. A particle moving at 0.995c leavesha track 1.25 mm long. What is the proper lifetime of the particle? 3. Start with the result for the total time At which we have obtained in class: At=L(c+v)/[(v-u)(c+u)] , and find the relativistic-velocity addition law. (Hint: apply both time dilation and length contraction.) 4. Two spaceships approach the Earth from opposite directions. According to an observer on Earth, ship A is moving at a speed of 0.753c and ship B at a speed of 0.851c. What is the speed of ship A as observed from ship B? Of ship B as observed from ship A? 5. Elephants have a gestation period of 21 months. Suppose that a freshly impregnated elephant is placed on a spaceship and sent toward a distant space jungle at u=0.75c. If we monitor radio transmissions from the spaceship, how long after launch might we expect to hear the first squealing trumpet from the newborn calf? . 7 / WM? CL Sam/mm a“ a F 2% f =w? ® Mqu = 2000 M ) M 2 03 c km) 2000 M q) M : Lo “ 2000 M h J; M {91087;} M ‘ ULS L>) L = LOW : Zooom‘rlfgfltcf— : god m C) Tm; Wu“ E = o = 4 = - L ‘ 2m - )M ‘1ch 81m > AJCO__4:‘M:__SZ£S W LL 1 M1, > lAflzL :17 A'h): A+i|—M%a = Wlo‘és “@3692 = 3.2.10‘53 A) L M: _ _ W M gw — = 2‘ = 0‘ M0 “fits % g :3 A: Exfficnéfl Mam vg LQL WW {5% 3 ’ 1.23M». _ ‘V ‘ _,2 At» 0&ng - HMS [D S Ma 1 M $sz =-— (DI‘HX'Io‘HS)W : ler- 10"3S L5) *3* [If-Mutt)- ‘Z [O ' H / [W QNLWV Whljr) ZIP(0 : LO Q +1; @ l ‘U c, @ .= @ '0' f _ tug C'VU L C'IFMCC‘HL) ‘ /"’Z L0 U’c 2 L:Lo l- “,4 Wm CWAHW (V M701) C—M)’ __ c+\y/__ W—m (Mk) V C ‘ \/;,_4 C2 “M CC—M (cw) C1 C1 LC~M (cur) F C+V{ I (1PM) LL ’ (WC :1) CC—u)(c+1¥)U = QC+v/)(1f-u)c / / I (W + cm} —vLLv/— mm 2 CZ‘U - czu + 0ch -U/LLL / "U [ 'WLV — c1]; -‘ CQR ~ crawl c(1 C u 4—17,) (0: - MU’JrCZ : ‘U+’lL _, =15 V: 2 “90‘” = 93mg 6 (0.73%)(0‘KSIC) LL,qu :- l+ ‘—T~ C 96m 6? m B ‘71: NEHvEJD PM W? A: I 2 fig; 5: 5 "AT Mag” AH OWL DISK fl'fl’ESc ) 6/:—0KS]4 9'17 U,m : ,LW : _0_6H%¢ 3 P H mm c?” LL : M:D-°r§c/ 3 W DISWE 'wA’c J9me Ivfirw‘ (Ml \awL Ah? m u. ‘ 4+1, = 2! WWJM g GU mrfi‘ M: - 2'1-ngf = 9.36“ WW5 USWLE lewv mm M Ettaqu (AT Twist: mam): WE!) a e 6% ms my fiQQJvE 4T WWKS A‘k ’\ 2 LumfitS-fzg‘gl [Vtme :1: SS« S “1% ...
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This note was uploaded on 07/15/2010 for the course MATH 521 taught by Professor Metcalfe during the Spring '10 term at University of North Carolina Wilmington.

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HW1 - 3w 1. A race horse can travel down a 2000 m...

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