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Final - Solutions (61940)

Final - Solutions (61940) - Name/Z—C Y PHY317K Signature...

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Unformatted text preview: Name: /Z—C Y PHY317K December 17, 2007 Signature: Final Exam Unique number 61940 Instructions: . No notes, textbooks, or similar aids are permitted. (You may use a calculator.) 0 Use the scantron answer sheet to provide the answers. Bubble in your name (last, first) and UTEID. Write your name (last, first), UTEID. course name, unique number. Sign and date it. Mark answers for all problems. Mark your answer sheet using #2 pencil. Mark only one answer per problem. If you need another scantron. ask the instructor. 0 There are 16 problems on the exam. Each problem is worth 100/16 = 6.25 points. An incorrectly answered problem is worth 0 points. 0 You will have two hours to complete this exam. 0 Any questions you may have about the test have to be directed to the instructor or a TA. No conversations and/or collaborative work are permitted. 0 You may use the hlank sides of the handout for notes and calculations. 0 Some equations and other information that may be useful on this exam are provided on the last sheet of the handout. You may not ask questions about it. You may detach it from the exam. but will have to return it with the rest of the exam handout at the end of the exam. 0 On this exam you may always assume g: l0 m/s2. 0 Sign the exam handouts and return them with the scantron form. Page i 1. For an oscillating mass on a spring with amplitude 1.0 m. the distance from the :D equilibrium position to the position where the potential energy equals the kinetic energy iS about: 4+. Punt WM Kinetic. aimls Pea-4.11M} {Lug A) 0.10 m B) 0.25m Potent?“ W33 97"“‘4‘ Ml: UK “‘04 LMJ C 0.50m (_ __l__ LHLE =l.Dwr .5 a“ w. A E) 1.0m r x c _....——- :3 $7441: 3} (3/ 4L>15 Xe“— “fifty?“ S 9 2. A volume of 300 cm3 of an ideal gas is initially at 27°C. It is heated at constant pressure to 177°C. It will now occupy a volume of: A) 340 CIT]3 Cm'stmt ¥rLssucr~¢ :3) \J __ VL | _.__.— B) 380 cm:5 T _ :3." C) 400 cm3 V] ._ 300L 3 ‘ '7- ..—. T12»; 125V (T) 2.:V. 11%- E) 500 cm3 a ' 300!— T": “Tc 1 (seac fichfik E = "lb‘om 3‘” ‘L‘ C 3. A moving source (S) emits a sound wave of frequency f The speed of the moving source is 1/4 the speed of sound. An observer (0) is moving toward the source, and is moving in the same direction as the source with speed 1/2 the Speed of sound. What frequency of sound does the observer detect? O -_’ O —D O U; ‘— ‘r/z. S vEur/«i F M. a...“ Loflmu. '5- v-«u- 6-»;ng 3)) £272 ;\_. ¥ 1:!" +U‘D \- fi “‘3 jay-“vim: “HQ-(AS 509"‘/f_v~\‘rfiup 1’" +&/ {(9- mGj alccmw 51 I“VJ-- tM‘n’i’tV—V‘ 5’44“? D) 4173 a Sr 3v”. 3 is w...v-..\ m K3- “sun! 1:) none of these ff 1’4 2: w j a FYL%)L‘Q/ net e7070uc o ‘ MUM) is 3“ 2 <9; A.‘ 6/ at.“ karma Ju-ZOKIZIWCj Page 2 '2; ob screw C 4. A block of material of unknown density floats on water. Recall. the density of water is 1000 kg/ma. If 40% of the volume of the block is above the water level, what is density of the block? , ._ 3 3 A) 300 kg/md flux)” k’a/W‘ F‘s-Ly“ ffiflt aha} B) 400 k_/m3 W3 l AK... (at .« a; HUD m t_ D) 900 kg/m C “Mid E) 1000 kg/n13 9M I T—‘T- |‘ OW V V l: mom -— W‘s ‘ ‘Ziwg Star , &teucs\ /HL° (01. )5 %" (OX/jg ‘IP‘LL C 5. The temperature of n moles of an ideal diatomic gas is increased by ATat constant volume. The energy Q absorbed as heat, change Min. in internal energy, and work W done b the as are iven b : t \ ~ _ - 7:“ A) Q: (S/Zgi’nmrgAElm =y0, “/20 c.\\ou*Lrw\..-c. Can-.5 2-7) hunt, ”-554 LT 3/2 nRAT, as.“ = (1/2 nRAT, W: 101%?" Ve my; :5 W 1 O C) O: (5/2) nRAT. an“. = (5/2)nRA7: W: 0 D Q=(5/2)nRAT,A 4m: 3/2)HRAT, W=0 E) Q = (5/2)!)RAT, AEW = 0, W: 7(5/2)nRAT ffy—s-L Lav-J 0% FTP-Wm Uc.\jV\°-|~I‘ic__) 54> ABM : Q 750 Agmt; Q :bAE-Ant: Q 3 gallAT fi 6. A simple pendulum (a mass m connected to a string of length L) is suspended from the ceiling of an elevator. The elevator is accelerating upwards with acceleration of magnitude 3. The period of this pendulum is given by: A) 27: L/g 41‘; ClfliflLwa acchr-att‘wx (ALA—L to B) 27rJL/(g+a) Brandt? blunt (‘LSA't-iu, Eccccm ogr C) ELM/(gma) -\-,\~_a_ e\e_¢c“c.»rls Matty-v; T3 ckfig'fm D) My”: w \smoct DE; 40‘; \xaewaum KS came“ F) (l/Bx),/g/L ””5 3,50%: “r:— m 14; 3T: 21“ L/(qeép W W WMCX S—Dv Z7£f}00[ Far )juwlL’lUH-fl [RWKE’M W‘ i... altvquw accruLLu-k‘u sUY'F'LLL u‘pwmrcl V} 7. Two blocks made of the same material are labeled A and B. Block A has five times the 6 mass of block B. Initially the temperature of block A is at 100 K and the temperature of block B is at 700 K. They are then placed in thermal contact. and the combination is isolated After a period of time both blocks reach the same temperature The final temperature of both blocks rs: Encwjj GwSLr‘VACFW: :7Httat case lpj )3- , Hurt gamut k’j A A 150 K B) 200K M6 (Ti T'=) g/MAU T5"r TD ”Fawn: ”L c 250 ' same f/mfi T‘ ==rooxc= 45?,“ D) 300 K “Amt.” '1‘?— ) t _ MT). m T“ E) none of these 9 M3? A A #5 fl — “AA—Tn. 'i' MaTa‘ : FV/fiTA‘ +y43[-{'T,;\ _: ’Z'TX : 2“: C MA’VMB S‘M’B’cwa/z ('9 22.05% 8. When a 2 kg mass is attached to a spring that is fixed to the ceiling, the spring stretches by 0.1 m to a new equilibrium position. If the mass is then pulled downward (i.e., the spring is stretched) by 0.05 m from this new equilibrium and then released. allowing it to oscillate up and down, what approximately is the frequency of the oscillations? (Renieniber.n=3.l4.) “—0.\w m 1 1: jg A) 0.80 Hz CL ’(° ‘2 ~l<>co W m B) 3.2 Hz C9 L? g (C) 1.6 HZ) C9 ‘1 w 2 ___, D) 0.32 HZ L9 Xe E) 0.051Hz t W0 - w _ t to Ms: # .7_Tr h (2.23 to"m 2 IO :_ '(D WU; 0.7,‘6 Hf: \ H& .r’ b. 9. The displacement of a string carrying a traveling sinusoidal wave is given by ‘y(X.t) =y,,.sin(lt)r — mt+ gfi). At time t: 0. the displacement of the string at X: 0 is — 3% (Le, a negative displacement equal to i times the amplitude), and the velocity of the string at this J? point is negative e(i. e. it is moving in the —y- direction). The phase constant ¢is: A) M4 9“”) ’st‘fii’ "fly/f; 394567); 2) 75 ”Z1 ”+04 B) m? C) Sir/4 13-1-0; “cask“kx oath!” D) 57:14 ‘1” )3 ‘3 LO.D) :-LaJfiHL,05?L’(-O '33 QD§¢>>O d4: ( ) cos ”/4 f'VEZ :1) 1T“- cmCTW/‘Q 3 VI: 9% 4 Pa0e4 E: 10. A particular system absorbs 500] of heat during a period when it does 200] of work on its environment. What is the change in the internal energy of the system during this 5;??ng st—oo: at: 2001“ B) 200] first LA..- «371‘ Mmbdefi-HTC-S C) 0 D) —300j AEM: Q -w E) noneo these __ E 11. Pipe Y (closed at one end) is twice as long as pipe X (open at both ends). What is the ratio of the fundamental frequency of pipe Y to that of pipe X (1.0.. what is Mi)? 4——- L. x __ _ __ \ z _ 33"... _ E “ x 2'1" "x‘xx‘ze U‘ U“ B) 2 M at. C) 1 1 12. A given system moves slowly from an initial state A to an intermediate state 13. and then @ moves slowly from state B to a final state C. The change from A to B is an isothermal process. with temperature constant at T = 400 K. During this isothermal process. heat Q = 200 j enters the system. The change from B to the final state C is an adiabatic process (i.e.. Q 2 0). The final temperature of the system (state C) is T = 350 K. What is the entropy change during the complete process from the initial state A to the final state C? A) zero AS _ O 5‘ mid? ‘C m Ax“ jg? :fB-sli +fc/ CAQ HR. | A. tc‘ 1.0 J/K («A Q 0) D) 2.0J/K E) none of these 2 (29°: 4002. 3 + 0 A5 = 0" T/L Ac. Page 5 \ 13. The intensity of a given sound wave is 500 ,uW/sz. if its intensity is lowered by 20 7 decibels. the new intensity (in yW/cmz) is: 1:339 1“»5'09/Aw/amz flwao as. i) C) 5.05 3 you, 3:): (5/10 /‘ 5ka ‘ \o =iz/I. E) 10 f > 3:2. : 1‘ ‘05/1025‘09mw/qfll567' __ Stu/CW1. A 14. A gas flows through a horizontal pipe. Pressure gauges are located at three positions (A, B, and C) in the pipe where the radius of the pipe has different values: m, Ta. and re. The three gauges show the following readings: gauge A shows 80 kPa, gauge B shows 70 kPa, and gauge C shows 95 kPa. Rank the radii of the pipe at points A, B. and C, from smallest to largest: PAV— lay-«St. AOL 05% wst =3 Av— iwt: 2‘) A“ L A r (f (f ( ll B A ('1) \ 1—- B I‘B<[C<['A ¥+-LPU —m3t. <>A L 5 LA " E P! C C) T(:<J'A<fn P54?&4?c3‘> Vé‘v UR>UZ D) Fe < l'n< TA L E) In < TC < n; ‘5 he, LC‘A 4T:— C 15. Initially, a U—tube contains a liquid of known density pg. Then. another liquid of unknown density p is poured into the left arm of the U-tube. The two liquids do not mix. The final situation is shown in the figure. The distances d, in, and fig are known. What is the value of the unknown density p? 17.3%. 17. W3 W1 1 l’ yam; 2 =5 flohil/Wdfl/Zflkfia/ A) Pu(r’?2+hr)/d [>01 : fl. Chili.) B) 0’ 0/052 7 hi) p: floCszMDAl D) [00112 din E) none of these Page 6 E 16. The speed of sound in a given medium is 1000 m/s. A sound wave of wavelength 4 m has what frequency in this medium? A) 3001-12 V:—‘\A VHOOOH/S B) 400Hz X“ C) 500Hz ' 4‘44 D) mom 5 ’U’“ --—~ A Page 7 ...
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