Intro phys exam - Friday Apn‘l tt 1003 PHYS 121 — Final Exam 2003 Marks#1 Three point charges Q1 = 32.0 ttC Qz =-103[AC and Q = 35.0 LLC at(x y

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Unformatted text preview: Friday. Apn‘l tt, 1003 PHYS 121 — Final Exam. 2003 Marks #1. Three point charges Q1 = 32.0 ttC , Qz = -103 [AC and Q; = 35.0 LLC at (x, y} = (3.00, 4.00} m are lccated as shown in the ececmpanying diagram. 4 3) Calculate both the mgfl't‘ude land gm mint; ofthe electric field at thaofigin due to the three point charges. J EE'J‘WO (52-93“ch _. (£003? n-fi' 5 “g t..- 0 4103 In 3 :(,-+_Gr1.l\) iEwizlg-xneqz 7-!‘15’ ,5 E J.._—-———-—p-—"" admit VMJW e 4mg.- 4.62 9,“:st (gar-6") —5.001.LC cfmass 4.503(10'a tag is placed at the origin. Calculate both a the original three 3 b) A point charge Q4 = the Law'er and directign or" the electric fence on the point charge Q4 due to J POinghmges. I 3 '3 N {Flaws}: (5m; )(1q_3rro_}__ qqm a '1: ca '1 )3: 9:: Q +igflfl: f n-._.---II"""-'---_II #—-I--'-"'—-— 1'. c] Calculate the absolute electric potential at the origin due to the three point charges Q1, Q; L... andQ3- Eat k 52: It .535} q fl £~I£€J+E “.6 U9: “Ii-Ulri-Ub 1‘- ?! f '3'? #3 :( 1 (p L V (J ; Qt|03[?4(-IE)+1I) .~ flanme 1/ PHYS. 122 —Fi.nal Exam, nan Friday; April 11, tour 2 d) The point charge {2; is released at rest at the origin. Calculate the speed nt‘the point charge 1% I an 'afinit '31 fr the ' ' . -v Q” 1 m m "m mm 4, r (:2 at -rxm ‘ dawn” APE 5 a mafia afl HOMO? has been removed to an infinite distance from the origin. Then a point charge Q; = 20.0 L“: is placed such that the net electric field at the origin is zero. Calculate the distance of Q: from the origin. (q x i 0 r3} wx [ 0-4 3- ‘Elatgag; mama - “a 5 (€xlflqlllf20el0h‘) I 4'" : l‘i.€x!03 ‘ 2 e) The point charge Qt #2. There is a uniform electric field E = lS,llDD MC. between the plates of a charged parallel plate capacitor. The distance between the plates of the capacitor is 3.06 m. A proton is launched at time t=CLDU sec at 1.0:) m alcove the lower plate with an initial speed of 1.2. = infilirtliil6 misec at an angle of53. l°ahone the horizontal as 511.0th in the aecannpanpingr diagram. Neglectgravity. 2 a) Calculate the acceleration ofthc proton. F - LE 'Lfl’L—"QWWQ {Swag} - Hair to"? W: a": m' M ' LeaHG'HHS “' S ta E7: Q 0’ .. |.Lllt.£l0 I"4/5? E b) Calculate the maximum vertical height reached by the proton above its launch point. PHYS 122 — Final Exam. ZCIUZ Friday, April II, 2003 4 c) Calculate the x and y coordinates of the location ofrhe proton at time t=2.flflxlfl“ sec. 2 (model’er €3.I°)rra-oosre") 4- LEO»: a]? Hot? 91.. 55.1")(2rto'g) ..(|.I:Iu!c'9(¢.anrm 2. _. [fag-t u- j : uajt— age" =(I.SO B: "0-H9M (201) = LL90, —0.lr8)m #3. Five resistors are connected to an 18.0 'v‘ battery as 4 shown in the accompr diagram; Calculate the equivalent resistance of the five resistors. .J_ .L 4' =g‘gJIszl [216?5 #4. A copper wire of resistance 3.5!] fl and cross sectional area A=2.00x 1 CI" tn2 is connected to a. 11.0: ‘it‘ battery. The resisfivity of copper is p = 1.1'lelfl'it fl-m at 20111 “C. 2 :1) Calculate the power lost in the copper wire at 201:: “C. ?_ “2. 1?: 11R 5w 2 b) Calculate the length ofthe copper wire at 20.13 “C. _£ 2=§pf 3 2 tree. 15W:th It E T ‘ LWKHD'E 13"“ PHYS 121 — F‘mel Exam, 2003 I5 I' #5. Cansider the accompanying electric circuit. a] (Stalemate the unknown currents II, [1 and 1;. Use the currents with their assigned directions as shown in the diagram. {53.1 b: lCL -157 50 L @J 60 +rs—Isl'z -1 L2 (3;) *IS—IO ~55 “$1,150 LIJI 35952;; 15:50 ".5174 : “:5 fl I51; 353“ 15;;4'53—3 =6 5135 15+ v51; 3:4 = '7 5351:: 35 I Ii: 5.— :‘1 .15: —5-'=:la_ Iai-étrifiéej :3: 13-55 " 153* :(5—:&)_(.5+333 Egg-13 I; imp-1:9; 51.1 b} Catculate the voltage fi'em point a to point I: in the potential. (gwufi b - C... -- fit.- PM‘H') Vqflub : -IC' -5[I') = —l.‘:: U “157% ’3 ,I 3, '5':L I»? l 5J1 C.- cireuit. Which point, a or b, is at the higher PHYS £12 - Final Exam, 2003 Friday. April 11. 2003 #6. Two resistors R1 = 1000 H and Ba, = 3000 [l 5| 5s and a capacitor C = 100 LLF arc connecth to a ] 100 V hattcr’g.r as shovm in the diagram. The I m h, --- switches 53 and S: are both initially 0pm and R _.. fawn the capacitor is initiain uncharged. At time i t= 0.00 soc: switch 51 is closed. 2 a) What is the charge on the capacitor immediately after time t = 0.00 scc. O (25:20) 1 b) What is the ciectric current passing through resistor R] immediately aficr time t = 0.00 Sec. "' " {001.} [‘4 .1: : hug——-—'\- : 0|! [000-52 2 c) Calculate the charge on [he capacitor at time t = {LOSE} sec. 1 é“? 1‘..- Etta-t5 (its): G‘me ' t ._ 0. “‘1’ 62(19): am “'3 %?_)§_m" W W - ~2- 2' : _Qtu:oc: 0'0]; iii-“0.05) .- 510? (f i I 53 d05cll Li). L d} What is thc clcctric current passing through rcsistor R. after switch 5. has bccn closed For a very long time. i 0 ZERO 1/" Aficr the capacitor can be considered to be fully charged, switch 5; is opened and then switch 52 is closed. 3 e] Calculate ths voltagc across resistor R, immediame aster switch 5: has been (:10sz 1 ‘ f ‘ tH csruucsmcttotz It Pr 5 1'r M I00” : [El—#:00er Limos _,_A lw : “14-21 J U:Iw~fl~' ifs-v i, z 2 PHYS 122 —Final Exam, 2003 Friday, April 1 l, 2003 2 t) Calculate the electric current passing through resistor R: when 0.100 sec have elapsed inee th‘hS-zhasbeefldostd. .t. (E = Giulinz) :(lmim-fl)(cm) r v 1a, 2p Itt‘);lw€’ 0,90 L I(o,|ee): Janna, @— “"’° = aim “,4 L: L15 I 1. g) Calculate the voltage across the capacitor alter a very long time. or 0 ( ZEQO> IL ‘ #7. Three infinitely long straight paralch _ _ wires cal-r3.r electric contents Ii=4flfl A, TI Fqfi Tit-‘25 TIB- 3A t=2.oo Aand 13=a.oo a T5: 53 . . SJ 9 2 a} Calculate the magmtude of the net magnetic a field at the location of I; dueqto 11 and I}- .1‘ a II _ “i if “9" Y _ _ i ! 3| = fl ‘ ~ LII”? r @ 1I+€—~—gm-—+ -r-In—-.-E l | i JITJL mi ,2 {I} "" la a; -:I «.1 52 =- if?! t in: ft? we? ' [E'er T. 6) a 2.11" (I) '6 Lil-r10 T 5' J" liq-l" K 0I -&I i-1 I“ Fa TL 0 r ‘11. -.I H t h) What is the direction of the net magnetic field? Circle one ofthe following: into the paper towards the right towards the top of the page out of the paper towards the left towards the bottom of the page 2 c) Calculate the magnitude of the net magnetic force per unit length on 1: due to I i and 13.. " 3 F :- E)! L F u; u 12!? F E= E) if : 62m? T)(E4): .2th0 a“: 0—.) L M l .2 hard-6 H E’ ‘ ‘55 l d) What is the direction of the net magnetic force? Circle one of the following: into the paper towards the top of the page out ot'the paper towards the left towards the bottom of the page 7 4r PHYS 122. — Final Emil-rt= 1003 Friday, April 11. 2003 #3. A single loop of r.irire of side lengths 0.100 m and 0.200 m moves at constant speed it into a region of uniform magnetic field B = 0.200 T that points out of the page. The resistance of the loop is 0.00 51. At time I = 0.00 see, the loop is just about to enter the region of uniform magnetic field. and at time t = 0.250 see, the loop is halfway into the region of unifom‘: magnetic field. ‘ 1-20.00 sec 1"" Digger: l a] What is the direction of the induced current in the loop of wire. llilircle one ofthe following possible answers. counterclockwise 2 b] Calculate the “ha-“Se in Ina-30303 flux Ihfflugh the loop from 0.00 sec to 0.250 sec. Mllzeiez— of, _- on?» f7.({9.i/)(0J) c. 0 0 : QKl0‘3 3007* 0-0“: 2 0) Calculate the magnitude of the induced voltage in the loop From 0.00 sec to 0.250 sec. ~3 lab _ 5; £53, 2"”? . nglO-sl/ of 0.2505 ' 2 0) Calculate the induced current in the loop from 0.00 sec to 0.250 sec. .. '5 L; __ I: :5 .u 3%- .- Lot- ro x4 ‘3 2? r2 2 e} Calculate the speed it ot'the loop. 6-3—4": :- {j— 05' g '5 E) L U :5 U M e 9’- 0 M v- __ _._...— .‘P ____________.i-- all“ 0.255 : 0'9 W5 CI-GQM/f 8/? PHYS 122 — Final Exam, 2003 thy', April 11. 2003 #9. A cube of copper of Side length 10.0 cm sits at . I: the bottom of a tank of water as in the accompanying ‘flh diagram. The density ofoopper is same L:ng and the 7 density of water is 1000 kgfma. 1 :3) Draw a fine body diagram of the copper cube. I Cu l L} F” mg 2 b) Calculate the net force exerted on the cube of copper. IU 253 0. F- ra- “‘5 1 c) A cube of wood of side length 10.0' cm floats at the surface of' the tank of water, The density of the wood is 40:] 143/1113. Draw a free body diagram of the cube of wood. U _ 5 FE MT Fb= “43: FM if 2 d) Calculate the depth D of the bottom of the wooden euhe below the surface oftht: water. PHYS ll? — Final Exam, ill-['13 Friday. April I], 10133 #113. A U-shaped tube ufunifonn cross sectinnal area. initially contains only water as sham in the accnmpanying diagram. Oil is then poured into thc right—hand side of the lube and the 011 floats as a 2.00 m tall column above the water. The height ofthe water in the: left hand side nfthe tube is h = 4.00 m. The density of water is p = 100:) 1:3me and the density :1me oil is p = 300 @121? 2 a] Calculate the pressure in the water at paint A. .. := 5 . a: fmojbn‘ lflméf/Nxfiffi/f“ q'fl‘ $2 2 b) What is the pressme in the water at point B. ‘llu: SM M ‘1‘“ AF 2 (1) Calculate 11:13 height ha 0f the water in the right hand side of flu?» tube. ' 3 EH30 (9-K) = 539,-; +2 995:30 “' X31430 ~= 230ml. 1E! PHYS 121 — Final Exam, 2003 Friday. Ami] ll, 2003 #11. Water is flowing through a pipe efvarying Va Qua. ._ Cross section and elevation as shown in the aeeempanying diagram. Water is flowing at paint A in the pipe at a speed :3va =15.0 mi’s. The diameter ofthe pipe at paint A is 0.600 em. WI The water emerges inte the air at paint B at a speed v“. The pipe at point B has a diameter {if 0.500 cm and is located 15.0 tn below point A. _ The pressure at point B is 1.00 athISpl'leTe. B 2 3) Calculate the speed v.3 ef the water at peinl B. 0,5 = U A s n. a e a Vail» '30 ‘fi/m'em’) — flight/5 u: .- r Path 2 b) Calculate the pressure in the water at point A. a t '5 5’ VB: 0; +€3ht+£€hi = Pytflfl ' L: Pa = 'Pe " ‘3'(“e‘hn) tiffuez'uflvr' 205110 Pm” /L/ LDI nor 4- t- Lamar) + i. an a no 5' 4 #12. A marble is located 2.00 m heiew the surface of a pool I i... ofwater. It is viewed by an observer at an angle 0f35.0° te q the vertin as shown in the diagram. Calculate the apparent depth :1 measured vertically of the marble below the Surface of the water. The index efrefiaetien efwater is n = 1.33 and. the index {if reflection of air is r1 r 1.00. .0 lat = I figuresfl 1.1—: ' ‘5' 5.: laws? 2:: =4m25.5s‘ PHYS [22 —Final Exam. 2003 Friday, April I l. 2003 #IS. A small toy bee: labeled 0 of height 2.00 em is placed 3.00 cm to the lefi of a thin converging 15. The focal length of the converging lens is E = 4.00 cm. A thin diverging lens is located 12.0 cm to the right of the converging lens. The focal length of the diverging lens is f: = 4.00 cm. The points labeled F1 and F; in the diagtam are the focal points of the thin lenses. 2 3) Draw a my traoe in the diagram abet-e to find the position of the image fanned by the converging lens. Label-1th. 2 1]) Calculate the pesitien of the image It formed by the converging lens. +r- We _ J. _ J. = J— . J.— ‘é’r ' .f' ft (1.00 3.00 I sir- 3.005» 2 0) Calculate the magnification of the image I. produced by the converging lens. Ml..- _i—I-=' Fig—=- "'"i P. 5’ == PHYS 111 -- Final Exam, 2903 Friday, April 11,2131} 2 d) Draw a ray trace in the diagram above to find the positien of the image formed by the diverging lens. Label it 1;. 2 e) Calculate the pusltien of the image I; with respect to the diverging lens. P2... lz'go— 9.09;- ‘1.a0 cw .L..J——J—.- J——- —_E. q; ' {a P2 fame) 4m: 2 1‘) Calculate the height efthe image [2. M3: 115% “(433) infilas P-a mane? HM = MI “43: (—l):(+0_33)~— — 0-35 -cflééaq he : MML :4 h: (2.00)“ «(—51. ave-7 mg, 3 g] Circle all of the correct ehareeteristiee ofthe final image I; in the following list: E hug—Elna in front ofthe diverging lens 3 image in back of the diverging lens 4: real image virtual image ...
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This note was uploaded on 04/18/2008 for the course PHYSICS 123 taught by Professor Wrzesneski during the Winter '08 term at The University of British Columbia.

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Intro phys exam - Friday Apn‘l tt 1003 PHYS 121 — Final Exam 2003 Marks#1 Three point charges Q1 = 32.0 ttC Qz =-103[AC and Q = 35.0 LLC at(x y

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