Intro physics exam answers 1

Intro physics exam answers 1 - NAME: K W (Print) Surname...

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Unformatted text preview: NAME: K W (Print) Surname Given Names STUDENT NUMBER: SECTION: CENTRE: OKANAGAN UNIVERSITY COLLEGE FINAL EXMHNATIGN PHYSICS 122 Section 01 3.: 01 - Kelowna Section 51 - Penticton Section 61 - Vernon Section T] - Salmon Arm Instructors: Daniel Kay Richard A Christie Christine Meiin Don O'Brien Brad Rickards April 19, 2000 Duration: 3 Hours READ INSTRUCTIONS CAREFULLY BEFORE COMMENCING EXAM Exam Booklets NOT required. INSTRUCTIONS: 1. You am pen-mined an equation sheet. Use 3 = 9.30 mfsz, c = 3.00 x 10‘I rnfs, eq = 3.35 x 10'12 szmml), 0.. = 41: 110'? T mfA. q, z 4.00 110'" c, m. = 9.11 x 10-3103, 10,, =10": x16“ kg, 1: = 9.00 x109 NrnszZ 2. Show all work in the space provided. 3. Read all questions earefiflly. 4. This exam consists of _1_1 questions. Marks for each question are indicated. You are to do ALL of the questions. The total marks for the exam 3. 5. All numerical results are to be done to THREE significant figures. 1. A small plastic bell. of mass 3.00 g. is givan a charge of +6.00 RC and suspended by a 20.0 cm long light string in a uniform electric field of magnitude 1.0:: x to“ we. as Shawn 1n the diagram. FH- [al Draw a diagram showing all the forces acting on the ball. [3} :3 .1- -I-r)f F: N (b) If the ball is in equilibrium. find the angle 9 that the string makes with the vertical. [4] M :M3 = (ca-Do} 336302;; e ZHIf-Km‘lN F'- = = (Ir-303%} (63,117: C) .1: sflffl'iN = " Tr '4 5“” = “.5. es 9 ' 41'“ (2.1exro“) gLuw 2. A parallel plate capacitor consists of two square plates. each 25.0 cm on a side. which are 3.00 mm apart. A potential difference of 20D V is applied across the plates. {a} Find the magnitude of the electric field strength between the plates. ‘2] E: E: 32.1 = $.$?xfaq_! c1 D.t}e3-nvx II“ Eb] Find the magnitude of the force on a +6.50 pC charge if it were placed between the plates. {21 _‘ _I F -.- E : é_$?flra*i ($.5nlfl C.) : LL33 3” N 3 c {c} Find the charge stored on the plates of this capacitor. _'fl m C= :4. A = (2.31xza"‘ c‘ 5 0——-—--‘15”““ °"“‘“ - teem F 1¥ REL: 0 .Glbl nut 3?:ch =(1.€enm"”F)(1°oU)= 3-653'0'EC [d] Find the energy stored in the capacitor. 1 .. [21 1 _ " .r ‘- _ l "" zeal!) 2-3.6?“9 5:: Qu- Q = ieu _ 11.1mm 2C .. When the capacitor is fully charged the battery is disconnected. and a sheet of polystyrene (dielectric constant e = 2.56) is placed between the plates so that it completely fills the gap. [e] State if the following increase. decrease, or stay the same. If there is a change. indicate by what factor. (1] stored charge; [ii] capacitance: [iii] potential difference between the plates: {iv} stored energy. H] k=1.'§6 1+3: SM II C Lame-.1: 1";6 V admits 1.5 E ‘i-V) E" Hewitt I.“ 2 T»! 3. [a] Find the equivalent resistance. Reg. for the circuit below. [3! 2.4 H 3.5 fl [b] What is the total current provided by the battery? I2] 3: =- _l£. =. Elili. i: '3..OI3 5! 9...? 1.11- {CI Hhat is the total power output of the battery? [2] p :Iu' =(3.ooA)(-u.ou) = $3.01.“! {d} What 15 the total power dissipated by the resistors? P=é.3.o W [2] 4. You aro given the following circuit to analyze using Kirchhoff's circuit rules: {a} Write an equation expressing Kirohhoff's junction rule for the junction at point a. You MUST use the current directions as giVen in the diagram. m __ _ J_‘ + II '- lb} write an equation expressing Kirchhoff‘s loop rule for the loop labeled #1 in the diagram. You MUST follow the direction indicated in the diagram. m “5134-2 -Ial.+6= O =13 “HI-[‘53 'E II {c} “rite an e nation ex ressi Kirchhoff's loo rule for the loo q. p “g p p labeled #2 in the diagram. You HUST follow the direction indicated in the diagram. [1} ..__ —4 +th «2. +515“: ==1>9I=+u3=é Ed] The current I2 is 0.3U0 amperos. Find the other two currents. I1 and 13. x = T = 0.301;.“ 9:“ '*+fi(°‘3)‘l+gli o [a] *1 -=o :3: com a) I. www- =» I, = New Le] Kirohhoff's Junction rule can be thought of as a conservation law. what conservation law? [1] : g (f! Kirchhoff's loop rule can be thought of as a conservation law. What conservation law? 3W 4 [l] 4* 5. [1] [1] [l] [2] [2] fl resistor. a 190 A 6.00 pF capacitor is connected in series with a sun The capacitor is V battery. and a switch 5. as shown in the diagram. initially uncharged when the switch is open. f? L_. 6 pF 100 V 500 Q What is the time constant. 1. for this circuit? {a} 5‘ s 2":- RC = 5005?.(53 “1‘5 F) 2 Eco Ho‘- 1 current on the capacitor immediately after the (bi “hat is the initia switch, 5, is closed? -I L‘i’ — 12:: _ Lone-m A F. Soon. {c} Hhat is the current in the circuit a very long time after the switch. 5, is closed? f—em 16%) -—~ 0A M what is the current in the circuit H.003 seconds after the switch. 5. is closed? i/t _' 1(3)'I.€-_ “ 019 {d} '= H (Obi-A lit}. in the circuit as a function of time. Be sure to label the maximum current in the circuit on the apprcpriate axis. the time constant. 1. on the appropriate axis. and the data point you calculated in part Ed] above, {e} Draw a graph of the current. 5. fluuhly ionized Uranium ions [q = +3.20 x 10719 C] have a mass of 3.92 x 10—25 kg. They are created at source S and then accelerated through a potential difference dv. The ions leave 5 with an initial speed of Va = D mfs and reach point A with a speed of vi = 4.0:: x 105 rule. {a} Use the work-energy theorem to calculate the magnitude of the potential difference 5V. [The effects of gravity may safely be ignored.} [3] w ._. .553; : imu: s. It: A“ ._. imun" = _J_ (i-qlxm—Hk) L4.naurur%)z = q_?alroq V i- 1" (3.1auo‘ficl After the ions paSs through slit h they enter a region VA unifGTm B with a uniform magnetic field r perpendicular to the page. The ions then travel in a semicircle h of radius r = 1.UD m, as shown. : 1 (Note: the uniform magnetic field I exists only within the upper an ;=" Va rectangle. Outside of that + rectangle the field is zero.) ‘ S [b] What is the direction of the magnetic field? indicate this on the diagram. ‘* r- " I11 l3 wt“ ["32 [cl Calculate the magnitude of the magnetic field. 4- A c...— [2] [continued on next page] 6. {continued} {d} The apparatus shown in the first part is modified by adding a set I of parallel capacitor plates. as shown on the right. what is the magnitude of the electric field I I _ a required in order for the ions to | __. "ulform 3 pass undeflected by the magnetic T 6? field? Show the direction of the electric field on the diagram. (Note: the magnetic field calculated 13] in parts [b] and It] still applies.} plates ‘; K .. -.-_ =— ‘fi .— 1 : III-Eh! M 133—:be ET} Fe. C “TE “.3 ail-“T; = l‘iL'DoojL c = mm" 3!. CL ,I. conducting rod is being pushed along horizontal, frictionless conducting rails with constant velocity 3‘ A uniform magnetic field of magnitude B = 0.80 T points out of the page everywhere In the diagram. The distanee between the rails is L = 1.6 m. and the rod has a resistance Br -— 1.0 $1. The load resistance is EL = 96 9. Assume that the resistance of the rails is negligible. la] If the induced emf is 6.4 V, what is the speed of the red? [2] EflVfi—r: <15? = = 5.00“: ‘Bi (germ-b» s Eb} Compute the induced current and indicate on the diagram in which direction a current H111 travel through the circuit. [2] I: <5) = 499W : gfiaxre'zfl 933 R134- (“51“”) (a) what are the magnitude and direction of the magnetic force on the red? E2] F6; 51,2 -.(o.gT)(e.et*er)(I-Bm) " :‘G‘L'a-L’L ‘ [d] Compute the power dissipated in the resistors HL and HT. Compute the power output of the feree needed to push the rod. Comment on your results in terms of the conservation of energy. [4} l p : I‘(aL+RT) =(o.ot=+A)‘(4:t+1txt) = no“; '4- DR. P‘ F's! '— 91‘!!!an :. mini-redid Q B. Eddy builds a rectangular uniform wooden raft of dimensions 2'00 m lgngl 2.00 m HideT and 0.100 m thick. The density of the woaden raft is pr = 400 kg/m3, and the density of water 15 pH = 1000 kglm?. Eddy places the raft in a pool filled with water and the raft floats as in the accompanying diagraml The diagram is not drawn to scale. [a] Calculate the weight of the raft, [2.1 __ - _ h w -mj -J3Vj — ‘tuo g1(2mi lmxa.ln\(q.€ 5;) {rs = 558:»! {b} Calculate the thickness 0 of the raft that is below the level of the water. ‘ '21 — - b 1.9:: :- F - V “SEE—foo: (2,“ F 2M- 3" y w B P j at 5 , M D = “(.00 xlo'LM to} A balloon filled with water is hung by a light [masslessj string (of negligible volume] from the bottom of the raft. The balloon is also of negligle mass and thickness. and contains a volume of 0.200 m3 of water. Calculate the height H of the raft that 15 submerged below the water level. [2! Hum h mu mom mire «Edd. £5444»; Md ‘1!“ "I? ma BF Lush. H : flaw—I‘M M c- l 9. NOTE: In each of the following problem parts. explain your reasoning concisely using Archimedes' principle or the equation of continuity or Bernoulli's equation. (a) A beaker filled to the brim with water rests on a scale. The Height of the water filled beaker is 2.00 N. A piece of weed smaller than the beaker is gently placed in the water contained by the beaker. The water that spills out of the beaker is carefully removed. Does the scale then indicate a weight greater than. equal to. or less than 2.00 N. Explain your reasoning. [2] 5m_ 'I'Cu— WIIJ‘ d‘iflnui /beflkefl I. awn—1‘5 I: *- +0 eta Ififirvk neeJhTLd‘. ____ [SERIE- v Eb] Water is being drained from a swimming pool through a cylindrical pipe that is connected to the bottom of the peel. The pipe has a uniform diameter except for a constrictinn at point A. Is the Speed of the water passing through the pipe at point A greater than. equal to. or less than the speed cf the water passing through the pipe at point B. Explain your reasoning. [2] cit {a fi21~ La gymnaitias Wen,- "U’b g...“- B_ h A,”- = At‘lj" :Ce—M'L-Jl 1 I {continuEd on next page] 10 {c} Hater is passing through a uniform cylindrical pipe as shown in the accompanying diagram. is the pressure in the water at point a greater than, equal to, or less than at point B. Explain your reascning. [2] {3 H10 \ 4 “$0 G) A. "U". =’ A1153. ET fifizo m5 LL!- 9, =' A1. "Ft-“‘- V :1}- ¢1r~'~ ' ?| 4'33“: + = LH‘LH‘I" fifflrz :3 m m" I." Jo in F.' ms+ ?.+A [d] A truck is driving down the highway on a day when there is no wind. The sides of the trailer are made of steel, but the tsp of the trailer is covered by a soft canvas. th does the canvas covering the trailer bulge upwards while the truck is moving down the road? Explain your reasoning. [2] 11 10. The diagram shows a beam of I light entering a plastic 5% block from the left at an angle of 51 = 53.0 degrees. The plastic block is surrounded by air having a fllr refractive index n = 1.00+ _ L The refractive index of the “1' plastic is n = 1.30. [3] Calculate the angle of refractiog 32 in the plastic blush. l2; M's 1...”. Mtfim‘e. 7-4115“. 91 :9: 1.0 s»... 52 9‘ = 403° ‘ {,3 5m :3, [b] The light beam then strikes the upper surface of the plastic block. Determine the angle of incidence 93 at this surface. [I] a 95 = “+1.3. [c] Calculate the angle of refraction s4 for the light beam passing back into the air. ‘21 M's LN MES-w. fiat-Me'siw'e.‘ “'5’ 'I-‘Sslm. ‘HJ‘ = like; -. 9*: 20.10 [d] For the light been travelling the path indicated, would it be possible for total internal reflection to occur for this air and plastic system for: [4] {i} the point where the beam enters the plastic block? Briefly explain) (thF :59 uflm' ‘C "‘1_ {11] the point where the beam leaves the plastic bleak? Briefly explain. 3;; ‘lb 4&3 12 11. An object 6.00 cm highgijaglace 120 cm to the left of a diverging lens having a focal length .0 cm. (NOTE: A seale drawifiE-Er-TEE object and lens is on the next page of this exam.) {a} Calculate the position of the image. [2] II' _[ 4_ J. ; J— =¢' 4- +- it} :. —£ =51l S :— ' 3H J} flav~ S S' 47 no 5 “he [bl Clearly state if the image is to the right or left of the lens and if it is real or virtual. [2] {-‘L1'+_ ii IUHCAsl‘AJ~1E {e1 Calculate the magnification and height of the image. 15 the image upright or inverted? [21 ‘flfr hyPJLL1Lh+ H: —sr __ -§'3°) =+0.U ‘5' no “k Vanish: Moe... {d} Draw a ray trace on the diagram on the next page to determine the image position. (NOTE: The ray trace should confirm your calculations abevel. E3] 13 ...
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Intro physics exam answers 1 - NAME: K W (Print) Surname...

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