Phys_213_Midterm_1_-_Spring_2007

Phys_213_Midterm_1_-_Spring_2007 - NAME (AL L CAPITALS) Q1....

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Unformatted text preview: NAME (AL L CAPITALS) Q1. CIRCLE THE CORRECT CHOICE. THERE MAY BE MORE THAN ONE. 1. ( 20 points) Consider a 4H6 nucleus consisting of 2 protons and 2 neutrons. The mass of a neutron is denoted by Inn and the mass of a proton is denoted by mp. The mass of the 4H6 nucleus is denoted by mHe. Ignore any effects of the electrons-we are only concerned here with the nucleus. Which of the following statements is true (Circle all that apply. Points are taken off for incorrect answers) [AlmHer—Z mn +2 mp ' {[EfinH52 mn +2 Inp [C]mHe>2 mn +2 mp [D]In order to break up the nucleus into its constituent parts we need to supply energy E: [mHe~(2 mn +2 mp)]02 [E] n order to break up the nucleus we need to supply energy — [(2 inn +2 mp)— mHch [F] Zero energy is required to break up the nucleus. 2. ( 20 points) Consider the following 3 particles all moving in free space: a 2.0eV photon, a 0.4 Mev electron and a 10 MeV proton. Which is moving the fastest? :f; Electron Proton Which is moving the slowest? Photon Electron Proton Which has the greatest total energy ? Photon Electron Proton Which has the least total energy? Photon Electron Proton NAME (AL L CAPITALS) 0.2. ( 30 points) The elementary particle the positive kaon (K) has an average proper lifetime of 0.1237 MS. (Remember that hrs—~10"6 s). Positive kaons are produced in a lab with a speed of 0.990 relative to the lab frame. How far will they travel in the lab frame during their lifetime? W} DISTANCE TRA VELED= NAME (AL L CAPITALS) (2.3. ( 40 oints) An Armada of s aceshi s that is 1 km long in its rest frame is movin P P P , g with speed 0.800 c with respect to ground station S. A messenger travels from the rear of the Armada to the front with a speed of 0.95 0 relative to ground station S. V=0.8c ARMADA D V=0.95c Time taken M NAME (AL L CAPITALS) (b) How long does the trip take according to the messenger? a , . E g xklééjéxkjg Xxfiw/gfl v “ii/fv’\§«€w¢§kfi I {w _ I ( {I >.-" V Kw, 4,, 6 r x ," / L M“ x. w" “ / WA”) diuwiéwv’kmjfl‘xz”! 5V u (if i ‘k fax» , ‘r E . l 1/ x / N ‘ {j E I? . (I, ( )5 53$ Jay 5/”? E0 /' j Tlme taken W“? * ‘ {:3}??? HO W“ NAME (AL L CAPITALS) (2.4. An observer S sees a big flash of light 1200 meters from his position and a small flash of light 500 m from him, 5.00 us later. A second observer is in reference frame S’ moving with velocity 0.5c. (A) ( 25 points) Draw the spacetime diagram. Place the on gin at the center of the graph. . Show the calibration of both axes in both reference frames and indicate how the calibration was done. Indicate the coordinates of the big flash and the little flash in BOTH reference frames. “ ‘ i (if ‘ \ X4 , , <2; _/ I, 3 a x- » mmw‘wm Mm MM ,9 m aw ,i m. WNW / ’ z “ 1 . ,3 i w, a .s M N am V ‘ WW A / N fl H 9 . , r / .iwuwu M i , (MW a \ ,o NAME(ALLCAHTALS [B] (15 points) Calculate the time interval measured by an observer in S’ between these two flashes. Please indicate which will occur first. Do your answers agree with the coordinates obtained in your spacetime diagram? Are the 2 events spacelike or timelike? M ml limit/Kw fit"? W/ Time interval in S’ ’ i it; “It Time order in S’ {I’é'kfl/v’b p;in , Spacehke ot£mel1ke2§ s vmmmww M XXXXXXXXZ —————— «THEEND ——————— «XXXXXXXX ...
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Phys_213_Midterm_1_-_Spring_2007 - NAME (AL L CAPITALS) Q1....

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