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exam1_makeup-ans - Physics 2306 Exam 1 Makeup(Arsenault...

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Unformatted text preview: Physics 2306 Exam 1 Makeup (Arsenault) Spring 2006 5L?” 9 ’ Name 1’ 18 gm I?! Student ID Check your (CRN) section number: I“ Students may also use there own two sided 8.5" X 1 1” formula sheet. Chapter 15 ( . . "7T 82 (13‘ “2' any, 2 a I k = z 2w = e 53— z 3— z: ‘> 31/169?” : \$UW U : {41 Power : 199/(3:3t)vy(m,t) PM, = év/LszAg %_ = 2%:— y(3:, t) 2 Aw, 81110813) cos(wt) 2 1 1 Chapter 16 ('9' :E, , , , _ F'- _,-. " p<fE,t) 2 “B yél L) pmazv :MBAA U _ \/% [U " V ZEIT [helvm :: TO + 27‘3'15 [U : \/% I : <p<m?t)vy(\$=t)>t I Z 2 ’OngAE 3 : (10dB)10g {a 10 2 1042;}; ,be = fa — fb fL = 315515 Chapter 21 F 2 #2321 = 1 L? 60 z 8.85 x 10-12 (33; k: = 8988 >< 109 V E = 17 1g? r a m C 47mg 7‘ pqu F=ﬁ><E Chapter 22 2 -’ (DE E f E - dA 35E . M : QM 60 Chapter 23 V = 13 —AV: Va 4/ = ij-Jz E: ~ (%%K +y%Z/+A%—) 471‘60 7" .55; 3 mm Physics 2306 Exam 1 Makeup (Arsenault) Spring 2006 1. A transverse wave traveling on a string is described by the expression y(x,t) = 3.2 mm sin (1.3 X / m — 10 t / s), where m=meters, mm=millimeters, and smseconds . What is the frequency, f, of this wave? 2.42 Hz ﬁrwwwmwmmm .3 2 Hz .: 3 3 a a»: , w W? f gm ‘T‘i w i. V0 , _ 3% 3:“ 3333 a 2‘: {3: g 3 M“ L! £1!» 3% 32 m”; g 3:: E; :3 1 0.314 H2 “:33 3?: m: é 4: ~ 7. .1 3:? :m U20 cu::> 3W”ww’mwﬂmwmw m“ 3 m,” ww—im 2W” :3 ? - 5 1A 0-15 EF 0.1595 1 “EM 1. ..... Em 1:; \$1.. 5:; LE: 1.) {it 3% ”:3? 3 Mg {\$53 :2} , : t M” if, if “‘ ‘ ?.W»-«-W B 10 s 1 7.69 s . ”i; m C 1.3 s H 76.9 s W 0.628 s 31 769 s I E f 62.8 s J 1 s J 3. For the wave in problem 1, what is the wavelength, 9», of the wave? 171— 1.33m W .F ; 3.2 mm l EB 2.42m Gr 0.13m 13m 31% 13 mm 0.769m I 2.6m 7.69m NE”? 4.83m } 5. For the wave in problem 1, what is the direction the wave is traveling? — z direction MM it's not moving cannot be determined . D + ydirection I 3 -ydirection E +zdirection J down :5; Physics 2306 Exam 1 Makeup (Arsenault) Spring 2006 6. For the wave in problem 1, find the transverse velocity of the wave at time t=35 and osition X=1m 2:2 p _ g 33:23 3 M g" 33.2 22 2332 ‘22“ 2 232:3; 33 §3W~i2 ;/ W 62132: naiﬁ 32252244 s§ :3 1%?“ 33; 92325222“ ”i 3 32 1 13 2 mm/s it“ 29313 32—23]: ‘B 10.2 mm/s c -10. 2mm/s :2: 2‘2 ' ‘c . 65.8 mm/s 1H -62 1 mm/s . .3..; .3 """"'"‘i“""'" 2 r2“! «g; £52,912 50 D 31.4 mm/s 21 -19. 4 mm/s r 3333 E 0 [J 3.14 mm/s ._ £3 3.. gemwk 35223222 . 22330325 2“ 2222.232 2222232 232222 7. A pipe of length L: 1m is open at both ends. Use V: 344 m/s for the speed of sound. Find the frequency of the first over tone (second harmonic). Bw”*‘~-2mw«--.-.3.,V AINMAM‘ m Men M ’ h 3%»: \$53 \ 2 2.33- .3,_ E 2 3 2323w2hinn333222 22:3 3 2 3 33 “323 a... 2 M 2222222222223 932 3 4: [F 688E175; .229Hz‘ 54%; Hz” ‘ 444 Hz WI; 344 Hz 8. A string of length 1 m and mass 0.01 kg is fixed a both ends. If the first harmonic resonant frequency is 30 Hz, then the tension in the string is: . 333.33 3 2:2! .21? 3242 M2 . 3.3. 3 33322, N“ “"3"” E24, .22 E”““i”’”" 2.2 2‘“ a3» 3” 2:; 4 523%; 23522 4-2» E” 2 37:. E2 2 3 3 2 \2. m. . , 2 2222f342§22 323422232 2'; 2 22232 2 2. 232 33 ’3 :2; 2 IT? ”3214 2' 3&3 2”“ ”E 2 2;! ’ w Eweww‘w’“ MIN” ”‘3' E 12.57m/sw Tidyosﬂm/s Physics 2306 Exam 1 Makeup (Arsenault) Spring 2006 9. The triangular wave pulse, 1 mm high and 10 cm wide with a peak 5 cm from the start of the pulse, illustrated below, moves on a string at a speed of 2 rule to the right. What is the transverse velocity of the string, vy, at the point on the string, at the forward edge of the triangle, labeled as P? A ‘WA ‘ zo’m/s , F 253/5 M 3% i; B 10 m/s G 2.5 m/s W, ELM 3:} 3 WM 2;, ”“2”“ ”if“: yimim '* 77M” W if?“ {If}: g {5:} :3,» ‘C 0.08m/S 1H, —0085m/s «3 V 0.04 m/s I l ~ 12.5 m/sm 10. Two sound speakers are driven in phase, by a single tone, and are separated by D:2 meters. An observer walking between the two speakers notices that the sound she hears becomes louder and softer as she moves. If she hears only two minimums, which are when she is between the speakers at 1/2 meter (1/4 D) from either speaker. What is the wavelength of the sound from the speakers? é Wwamewwxm gr “7,; h R ii, :3: e ”1 2r it w m, “i“ MM ‘3; W , N, «M We W“”"‘““:;,X 2W». WMMW‘ «w i 3532:; ”y §X6 1:. ”:43: “We“, Q? g“ ,, M m, ”,9; m 3;} w W in st: if i f w W , ”4., 5‘» E; Z % rag W E“ V7» W ,., ”a, 3, sin-sex, ,4» I? E k 2 8; as; F 3,5: g: 9:41;) ea, 33%,, y W i”! “ k is , , , _ MK 1%; 2 In F 1/2 m . 3% *W 77777;” if We ‘ ,2 C 10m Hi314m ,, ﬁgﬁg, ' r Viﬁgﬁ is g1 L W m , i 3 ’3‘ m We M 0‘ m, D 344m I , 8m W , W ,5” t E 172m J 16m WW‘ W K , W m i W 1.“ w J, "Kym” my» Physics 2306 Exam 1 Makeup (Arsenault) Spring 2006 11. Three charges: g at (-a, 0), q at (0, a), and -q at (-a, a) are shown in the figure act on a fourth charge, Q, that is at the origin. Q and q are both positive. So -»q < 0. Find the X component of the force on the charge at the origin. Use k = 1/(4 1:80). . ,1 .- .» 12"“ :5" -. ff“ 1;;- y it: 12.4%: g .- E31. 1:.» K ‘ M M f 1... “’3" “3?: A 3.837kqé/a2 F 17lkqQ/a . 11 1.783kqQ7/a2 c 0414kqQ/a ‘ :1. 5:637?tie—1:}Q/a2 H —.20414kqQ/a D -065kqQ/a 1 -0.293kqQ/a E 0.25kqQ/a ﬂjJ 0.2293kqQ/a 12. A spherical sound wave with 20 Watt of power is emitted from a point. What 13 the intensity of the sound in dB, that will be heard at a distance of 10 meters from this source? ,- 5351.1 1.11» 1. ‘1? §1' WNW”... {:3 2.: M} :15 1:1 3» s £13311“ w”; 48 dB 1 1B 02 dB 1 1 c 20 dB H 113 dB ;D 33115 ‘1 123dB is 41dB lJ 200dB 13. Two toning forks are ringing. One of the toning forks rings with a frequency of 256 Hz and the other is a little less. If the beat frequency for the two forks is measured to be 3 Hz, what is the frequency of the fork with the lower frequency? .... if} 11 ”3?: i M” 1“ .4. (it? 1 1111111” % “i - ,1- 5 . W 11 1.1., A 249 Hz F‘ 254 Hz 4. {a .1 . 1: .1... “1:. fig. ,1 £151 1... .1 w 11-» -. ' B . 250 Hz G 255 Hz :3} 1... .4 if 1 f 11112.? . ’ ,1.» E c 251 Hz H‘ 256 Hz .- .wwwws. 7"." ‘ ﬁll 9m WNW 5; 1% ‘DJ 252 Hz I 257 Hz ‘ »»::.. g 13: 11 if 11 :1. , . ‘ .-. .4. .5 1 {EV 253 Hz J 258 Hz ‘ é W.- W} Physics 2306 Exam 1 Makeup (Arsenault) Spring 2006 14. Consider the circular arc with total charge Q uniformly distributed over the arc. Q is greater than zero. The radius of the arc is a, with the angle of arc swing being 90". The arc is in the quadrant shown in the figure below. The center of the arc is at the origin. Find the direction of the electric field at the origin. X cw = clockwise ccw = counter—clockwise Xi; direction W 1E 450 cw from X B y direction ,, G none E: O W p _ g C 450 ccw from X H 550 ccw from X ,, @ 45° cw from X 90° ccw from X E 45° ccw from- X 1] i 55° cw from X ,, ,2: gag, 15 From problem \$5 in terms of k=1/(4 7r, 8-0) Q and a find the magnitude of the electric field ,2 . a ,, a, \$5 ~ I am F kQ/(na) 2ko/(na2) EZkQ/(ica) "H I kQ/(21/2 712232) kQ / (21/27Ea2) zl/ZkQ/(n a2) 77‘, 21/2kQ/(na2) 7 23/2 kQ /(7Ea2) Physics 2306 Exam 1 Makeup (Arsenault) Spring 2006 16. Two infinite parallel conducting plates have equal but opposite charge density with magnitude 6210'12 C/m2 on them. The plates are separated by a distance d=1 cm. An electron starts at rest on the negatively charged plate and moves to the other plate. You may ignore the effect of gravity. What is the speed of the electron when it reaches the other plate? [the mass of the electron 13 me: 1 9x10 31 kg, the charge on the electron 1s -e=—1. 6X10 19 C, 80:8.85X10 12 CZ/(N m2)] 1”; ,, A 11.1 m/s 19, 900 m/s T327713 4 m/s 5:11 43 600 m/s c 220 m/s , 1. 33x106m/s 1 D 234 m/s I 1. 9911108 m/s “E 14,100 m/s W J 3. 9711108 m/s 17. A spherical sound wave is emitted by a point source. How many decibels does the sound intensity level change when you move from 1/2 meter from the source to 5 meters from the source? , r1 1” ,4,1 1,1 1,4,1 , W, if: 324%. w W . W, we} ‘A- 1‘ 5? 77 ’ « £3 1%; 44. 1%.: 1i ,, 1 1 ,1 1 '14,, “1 / £3 1714 1433:: i4“ 2% ‘ 4 4444:? ’1‘} 1% ,4, E a, ":14 5 1:1 43:15 11:; 1:11”, . “"1 14 1 A — 407dB F 1 40 dB a: 1 1:} £1 _ _ G 100 dB ' c 0 dB H‘ 200 dB D 10 dB 1 400 dB 1W E 20 dB J 800 dB :4; .4. Physics 2306 Exam 1 Makeup (Arsenault) Spring 2006 For problems 18, 19, 20 consider the figure shown below. In these problems 7k is a positive number, and r is the variable radial distance from the center of these long concentric cylinders. There are two conducting, concentric, cylindrical shells, one between r=R and r=2R has a total linear charge density (charge per unit length) of -3 K on it, and the one between r=3R and r=4R has a total linear charge density of +2 7» on it. There is no charge within the inner conductor where r is less than of equal to R. The system is in static equilibrium. 4R +2?» 18. The radial electric field in the region 2R < r < SR is [positive r being radial outward]: W is ,2 WWWMWM *- m w amt. 7A} i/(Zimor) F —i/(4}ce§}) nn_wnnirn iBHt/(Icsor) Flak/(27mg) iczi/aan aE-3iu2nan ,D‘3im4nan i :3kﬂ4naﬂ Egiuxan ’J 0 «.3 a 3 Kw ! Physics 2306 Exam 1 Makeup (Arsenault) Spring 2006 19. The linear Charge density at r=4R on the outer surface of the outer conductor is: , I “awry: , m“ 1 m; 2 i [2&5 H — 3 we i’é’gﬁr’) ” 3 X/(4ueor) I — 3 k/(4 ne’er) ‘ Ewen LIL; ...
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