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FInalDec08W0

# FInalDec08W0 - Die 0 00143 Question 2 — Ranking...

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Unformatted text preview: Die 0% 00143 Question 2 — Ranking Questions (12marks) Question 2a Damped harmonic oscillator A has an initial amplitude of 5 cm and a damping constant b/m = 0.01 s". Damped harmonic oscillator B has an initial amplitude of 20 cm and a damping constant b/m = 0.02 s". Damped harmonic oscillator C has an initial amplitude of 30 cm and damping constant b/m = 0.03 3". After 100 5 their amplitudes are respectively XA, X3 and Xc. Rank these amplitudes from smallest to largest, indicate any equivalencies by using =. Smallest Largest Question 2b An automobile is traveling at 10.2 m/s and sounding its horn. Observer A, running at 3.4 m/s in the same direction as the car, but behind it, hears a sound of frequency fA. Observer B, running at 3.4 m/s in the same direction as the car, but in front of it, hears frequency f3. Stationary observer C in front of the car hears frequency fc. Rank these frequencies from lowest to highest, indicate any equivalencies by using = (Take the speed of sound as 340 m/s.) O78>V CW1 \$l>i3>v 4% Lowest Highest Phys 101 08W Page 7 00143 Question 2c. Three cubical blocks of equal volume, V, are suspended from strings. Blocks A and B have the same mass and block C has less mass. Each block is lowered into a ﬁsh tank and they hang at rest. A is at the same level as C and B is at a greater depth. i) Rank the blocks according to the force (F A, F3 and PC) on the top surface of the blocks due to the water, indicate any equivalencies by using =. Smallest . , . Largest ii) Rank the blocks according to the buoyant force (BA, BB and Bc) acting on the blocks, indicate any equivalencies by using = , Smallest ' ‘ . Largest iii) Rank the blocks according to the tension (TA, TB and Tc) in the strings supporting the blocks, indicate any equivalencies by using =. Smallest .Largest Phys 101 08W _ Page ' 8 x- 00143 Question 33 (4 marks) Scuba equipment provides the diver with air at the same pressure as the surrounding water. At absolute pressures greater than about 1.O><106 Pa, the nitrogen in air becomes dangerously poisonous. At what depth in water does nitrogen become dangerous? (the density of the ocean—water is 1030 kg/m3). Question 3b (8 marks) Water in a main pipe at the street level is at a gauge pressure of 170 kPa and is moving with negligible speed. A pipe connected to the main pipe is used to deliver the water to a kitchen located on the third ﬂoor of a building, at a lS-m height from the street level. What is the maximum possible velocity with which the water can emerge from an open kitchen faucet? \$‘)w%‘01 (“We wove, (”Co Phys 101 08W Page 9 a 00143 Question 4 (12 marks) A Phys 101 student observes that, when a mass of 2.0 kg is attached to the end of a vertical spring, the spring is stretched by 10.0 cm. The student then pulls the mass down 5.0 cm from its equilibrium position and releases it at time t = 0. Assuming that there are no damping forces, a) What is the amplitude of the motion? b) What is the frequency of the motion? 0) Assuming that the upward direction is positive, deduce the equation of motion for the displacement, y, from the point of equilibrium. Evaluate all constants. d) What is the kinetic energy of the system at y = 3.00 cm? e) If you took two springs identical to that above and connected them in series and then hung a mass of 2.0 kg on them, how much would you stretch the combined spring? worn to ’ Stasvo w QL*R§ES)9°°<WSO‘®‘- mg’w Co , “2."; t3“ {Ci‘ W0§O\Q «‘0 Phys 101 08W Page 10 00143 Question 5a (7 marks) Consider two tubes, sealed at the bottom end and 34 cm high. You then blow over the top of Tube 1 to produce a note. i) Draw the displacement diagram showing the nodes and antinodes in the tube for the ﬁlndamental frequency. ii) Using the speed of sound as 340 m/s, determine the three lowest frequencies for Tube 1. iii) Tube 2 contains some water and has a ﬁmdamental frequency of 375 Hz, what is the depth of water in Tube 2? Question 5b (5 marks) A piano tuner is working with a wire which she wishes to vibrate with a ﬁJndamental frequency of 500 Hz. The string has length, L, of 0.400 m and has a mass, m, of 3.00 g. i) What must be the tension in the wire to achieve this frequency? ii) Sketch what the wire would look like if it vibrates at its third harmonic frequency. {xx o’oom (”m9 wown K7775 2“ oseg'I/OSvL/ 081; (“7 “953 Phys 10] 08W Page 11 l I 00143 Question 6a (6 marks) Yellow light is viewed by reﬂection from a thin vertical soap ﬁlm (n=1.33). large darkarea yellow area dark area yellow area i) Why is there a large dark area at the top of the ﬁlm? Which of the following is the best explanation? a) no light is transmitted through this part of the ﬁlm b) the ﬁlm thickness there is N4n c) the light reﬂected from one of the ﬁlm’s surfaces undergoes a 180° phase shift d) the ﬁlm is too thick in this region for thin ﬁlm formulae to apply ii) In terms of X, by how much does the thickness of the ﬁlm change in going from the top yellow area to the yellow area below it? Question 6b (6 marks) Two speakers are separated by a distance of 2.0 m as shown. The speakers are in phase and you are standing 4.0 m directly in front of one of the speakers. Assume the speed of sound is 340 m/s and the range of hearing is 20 to 20 kHz. 0 2.0 m C 4.0 m x What are the two lowest frequencies that you will hear a minimum signal (destructive interference)? YAHOSQl [09\$ Wotan 1? O (7 “pl Phys 101 08W Page ...
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FInalDec08W0 - Die 0 00143 Question 2 — Ranking...

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