# 1051test1answersW10 - Circle instructor: Yethiraj or Morrow...

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Unformatted text preview: Circle instructor: Yethiraj or Morrow 1 Name: Lab period: Student Number: MEMORIAL UNIVERSITY OF NEWFOUNDLAND DEPARTMENT OF PHYSICS AND PHYSICAL OCEANOGRAPHY Physics 1051 Winter 2010 Term Test 1 February 12, 2010 INSTRUCTIONS: 1. Do all questions. Marks are indicated in the left margin. Budget time accordingly. 2. Write your name and student number on each page. 3. You may use a calculator. All other aids are prohibited. 4. Write answers neatly in space provided. If necessary, continue onto the back of the page. 5. Do not erase or use “whiteout” to correct answers. Draw a line neatly through material to be replaced and continue with correction. 6. Assume all information given is accurate to 3 signiﬁcant ﬁgures. 7. Don’t panic. If something isn’t clear, ASK! SEE LAST PAGE FOR SONIE POTENTIALLY USEFUL F ORMULAE AND CONSTANTS For ofﬁce use onl : 3 ‘Circle instructor: Yethiraj or Morrow 2 Name: Lab period: Student Number: [10] l, A 0.3-kg mass attached to a spring is oscillating on a 5 I _’ _’ , J V horizontal frictionless surface with amplitude 2.7 em. if"! {few-fit»)? _“ The maximum speed of the mass is 0.153 m/s. L..r~.l' ‘ x2 0 (i) What is the total mechanical energy of the system? (ii) What is the force constant of the spring? (iii) At t z 0 s, the position of the mass is x = 0 cm and the velocity of the mass is positive. Assuming that the position of the mass is written as x : Acos(a)t + (a), what is the phase constant to ? (iv) What is the speed of the mass when x = —2.0 cm? 2 r 7” \ Riki : l vex/fa, (ti) g, 4- (WV :r 2 2 ‘ j i l a '3 Q a 3 SXID’ _‘ i y V"”_ 3 O. 007 g C 21ch r ‘ 5/ c é (out) \«fﬂ ( A5 I L J 6‘] _ f”) q« in) t 7 ‘gmvim , {:5 ; ML a W N/W \ AL AL (eioe7 m) : , *3l (“‘5 x AA” 9‘ 0 '* to“ r ;> ¢ 5 0/ TV2 " ‘ /2 7 T/2 ’ {o ’ ,r ~ ’” “’ K5: Sit/\(th'l’ng \l‘ ; “At/Osiwd Li :5 OO<C>>< m ijryL ) (QSQé‘i‘O, f>ir\¢:"l => 60):» VI yer 523:Ab7i/7 I to I glh¢gvl Two ross‘telf _ \ ‘_ /_:— :2 (3* O ‘/ E" k “MSMP/nj to (151 35/2 , muse *0 r 3"“6 > °> 1 + oMers el‘ ‘ /V 7‘ kt >’ 0 ‘ ldol’ , 7 saw, it D o<° Mulllt’ 1? CC‘ 3“/1 / “5% 0’ ’ 71V. Use \$491 (but hothia‘lW’d) ﬁt. A eosCuﬁ 41/7,) : l”) chu 3) 5m (‘m’t-K/L) 5 LosaCLOt ’ K/2) ‘“ 2;. 2°? »At¢sm(est-K/L) = »omx gambit/7.) ——(o.e7)(\;ve9 (es-<83) “xi/female: [{fbﬁatﬁmyz l/Z-’(Jl[-A(‘) m/S W 7m” 3 - 763nm) 5 (pg/'0} 5g 7/: W 63” Kr 'r 2 0“ m Pusi ODmS‘VuCl’Luf Mk aft-9t (Tao 3’5 1/ <5 ’ lzbrz’vtl : Name: Student Number: ‘Circle instructor: Yethiraj or Morrow 3 Lab period: [10] 2. (a) Two tubes, of different length, are both open at both ends. Tube A resonates at the 2'“I harmonic for the frequency of a particular tuning fork. Tube B resonates at the 3rd harmonic for the same frequency. ><>< Ob< >< ><>d©< a C (1') Which of the diagrams above best illustrates the pattern of displacement nodes and antinodes corresponding to the 2"d harmonic of a tube that is open at both ends? (ii) Tube B is 0328 m longer than tube A. What is the wavelength of the sound generated by the tuning fork? (iii) If the speed of sound is 343.2 m/s, what is the frequency of the tuning fork? LB~LA = i :5 ), 2Co~azs\= g: 4/ at 13212 7/ (in) (b) Two speakers, located along the y—axis as shown, , sound waves in phase. Speaker 1 is at the origin. An ‘5 l observer is 24.0 m from speaker I along the x-axis as shown. Assume the speed of sound in air is 343.2 m/s. (i) Assume that d is the smallest non-zero separation for which waves from the two speakers interfere constructively when the frequency emitted is 310.0 Hz. Find d. (ii) If d remains ﬁxed at the value found in part (i) while the frequency is halved, what is the resulting phase difference between the waves from arriving at the observer from the two speakers? (Hint: how does thcep wavelength Change?) :' 2 ((7 w 2.1": ({z~{tl g 2W >\ 74.0 m 1— ng'Z-v 7" Enos 2 "\T 1:} 52 it a ll N \_/ it A is} N 3/ /\ 3 44 \../ H (A) o (OJ L o~£5£ M C ' A ‘Clrcle instructor: Yethiraj or Morrow 4 Lab period: Name: Student Number: [10] 3. (a) A sinusoidal wave propagates along a very long string in the positive x—direction. The (’ in) linear density (mass per unit length) of the string is 0.0057 kg/m and the tension in the string is 9.5 N. The penod ofthe wave is 0.041 s. (i) What is the speed of propagation for this wave? (ii) What is the wavelength of this wave? (iii) If the amplitude of the wave is 0.032 m, what is the maximum transverse speed of a point on the string? (Hint: take the wave function to be y a A sin(kx — (at) .) o: I : “5 a (£464)? = 4"“ W/5 (M toes? Parked} 7;: 00M s 5?: t/r : Zueﬁ H2 >\ 3 ‘3: : L'o‘ga .._ "(97; M— 5 2+3") \j __— Aw 53:2“? ‘2 L53 2 (b) A string with a density of 0.0045 kg/m is stretched between two ﬁxed points separated by 1.5 m. What is the tension if this string vibrates at 220 HZ in its ﬁmdamental mode? ‘FQK&QVH€VVQ‘QA 1-: L. > a 2L = 3‘0 w _ 2 U" U’ f I 5‘; : 220 Hz : a. = {C : ’27: ILL “T : (L2L)§> /[,L 5 ~3 'X 4.5%10“ N 11.3% M0 N Woo-Z M b ‘Circle instructor: Yethiraj or Morrow 5 Name: Lab period: Student Number: [10] 4‘ (a) One charge, qA : +3 tiC , is located at the origin of an x—y system as shown. Point P is located on the y-axis at y = 0.25 m. (i) What is the electric ﬁeld at point P due to charge A. Give your answer in unit vector notation? (ii) A second charge, q,3 = —5 pic , is now placed on the x—y plane in a location such that the total electric ﬁeld at point P, due to charges A and B, is 0. What are the coordinates of the location ot‘charge B on the plane? ~ “.4- ll) E“? = Q9, it’s-2;“? 1'? g ‘1 A " 83‘iﬁi0xuxio A (01:31” 2 List 5' )(io‘% N/C (“1) ETQTAL 5 EU, rt EB? : O ' 4. E5? : helical x w (84‘) XIDq )(sxm Y‘ YLz (+9qu Lyiéiintoz The f>m}km" L3 +€Mx+mz (+0‘2 (b) The ﬁgure to the right shows electric ﬁeld lines around two charges, A and B. (i) What is the sign ofcharge B? M86361 H u? (ii) At which of the locations, labeled C, D, E, and F, is the magnitude of the electric field largest? E. (iii) Of the locations labeled C, D, E, and F, identify any where a small negative charge would feel a force to the right. C and. D r E ‘ ‘Circle instructor: Yethiraj or Morrow 6 Name: Lab period: Student Number: Some Potentially Useful Formulae and Constants: dzx (ozr ‘2‘ ‘ ‘ ' ~ 9 q - dt R21k2 :22 12 Fx = —kxpmx (Hooke's Law) a E = hi; _ 1k 2 1 , r E —-2- qmgx +377“! E = keg—g; 272' z a) 2 ~F (angular frequency) m k Vm=33lWS+O.6S'OCXT0C C02 : sering "1 a q (DE = j E ~dA w: = é: L (DE : qmsnde a (I): ‘ m d O I Vzﬁi 27: r k = 7- (angular wave number) V = ke 3'— : r;- v 2 f2 (wave speed) 4 Vspha'e :gﬂr3 T v: — # Awm = 47er 55’ _ L92 6x2 1/2 at? Physical constants: l k = =8. 9 N- 2 2 9 47:50 99”) m /C e=l.60x10"9C 80 =8.85x10"2 C’/N~m2 8:931m/52 ...
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## This note was uploaded on 03/08/2012 for the course PHYSICS 1051 taught by Professor Michaelmorrow during the Winter '12 term at Memorial University.

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1051test1answersW10 - Circle instructor: Yethiraj or Morrow...

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