Physics P201 D. Baxter/R. Heinz. FINAL EXAM December 10, :00 10:00 AM INSTRUCTIONS

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1 Seat # Physics P201 D. Baxter/R. Heinz FINAL EXAM December 10, :00 10:00 AM INSTRUCTIONS 1. Sit in SEAT # given above. 2. DO NOT OPEN THE EXAM UNTIL YOU ARE TOLD TO DO SO. 3. Print your name (last name first) and blacken in the letters on the answer sheet with a #2 pencil. 4. Print your student number (identification number) and blacken in the numbers on the answer sheet with a #2 pencil. 5. Use the fronts and backs of the question sheets for scratch work. Do not use any other scratch sheets. 6. This is a multiple choice exam. Blacken in the answer to each question on the answer sheet. Fill in one and only one answer to each question. 7. Keep your eyes on your own work. 8. You have two hours to complete the exam. When you finish, please show your picture ID as you turn in your answer sheet. Please leave quietly so others are not disturbed. 9. THERE ARE 24 QUESTIONS. PLEASE ANSWER ALL OF THEM. THERE IS NO PENALTY FOR GUESSING! You may use a calculator and four self-prepared sheets of formulas. You may also consult the appendices in the front and back of the book.

2 1. A simple pendulum has a period of 2.0 s. What is the pendulum length? ( g = 9.8 m/s 2 ) a m b m c m d m e m 2. A hockey puck moving at 7.0 m/s coasts to a halt in 75 m on a smooth (but not frictionless) ice surface. What is the coefficient of kinetic friction between the ice and the puck? a. µ k = b. µ k = c. µ k = d. µ k = e. µ k = A sinusoidal wave travels on a string and is described by yxt (, ) 1 2cm sin(4cm x 1 12s t) This wave has a velocity of a. 1 cm/s b. 2 cm/s c. 3 cm/s d. 4 cm/s e. 8 cm/s =. 4. If the tension in a guitar string is tripled the ratio of its new fundamental frequency to its original fundamental frequency will be: a b. 1.0 c. 1.7 d. 4.2 e. 9.0

3 5. A picture is to be hung from the ceiling by means of two wires. Order the following arrangements of the wires according to the tension in wire B, from least to greatest. a. I, II, III b. III, II, I c. I and II tie, then III d. II, I, III e. all tie 6. The G string on a violin has a fundamental frequency of 196 Hz. It is 30.0 cm long and has a mass of g. While this string is sounding, a nearby violinist effectively shortens (by sliding her finger down the string) the G string on her identical violin until a beat frequency of 6.00 Hz is heard between the two strings. When this occurs what is the effective length of her string? a cm b cm c cm d cm e cm 7. A 5.0-ton freight car, moving at 4.0 mph, collides and couples with an 7.0-ton freight car, which was initially at rest. The common final speed of these two cars is: a. 1.3 mph b. 1.7 mph c. 2.1 mph d. 2.5 mph e. 2.9 mph

4 8. Consider the curve y= Acos ( 2 πx/ λ) shown in the figure. The amplitude of the wave is y A 0 x 1 x 2 x 3 x a. the distance y = 0 to y= A. b. twice the distance y = 0 to y= A. c. the distance x 1 to x 2. d. the distance x 2 to x 3. e. twice the distance x 2 to x Consider two wave pulses on a string. The first pulse has twice the amplitude and is inverted relative to the second pulse. Suppose the first pulse reaches the fixed end of the string and is reflected back and then meets the second pulse. The figure below represents the situation before the reflection of the first pulse. When the two pulses overlap exactly, the superposition principle predicts that the amplitude of the resultant pulses, at that moment, will be what factor times the amplitude of the second pulse? second a. 0 b. 2 c. 3 d. 4 e. 5 first

5 10. Waves propagate at 10.0 m/s along a stretched string. The wavelength of the waves is 5.0 m. What is the frequency of the waves? a. 1.0 Hz b. 2.0 Hz c. 3.0 Hz d. 4.0 Hz e. 5.0 Hz 11. A sound source with 1000 Hz frequency moves at 50.0 m/s toward a listener who is at rest. What is the apparent frequency heard by the listener? (velocity of sound = 345 m/s) a. 950 Hz b Hz c Hz d Hz e Hz 12. Three books (X, Y, and Z) rest on a table. The weight of each book is indicated. The force of the table on book Z is: a. 0 b. 4 N c. 9 N d. 14 N e. 19 N 13. A simple pendulum has a mass of 0.25 kg and a length of 4.0 m. It is displaced through an angle of 30 and then released. After a time, the maximum angle of swing is only 10. How much energy has been lost to friction? a J b J c J d J e J

6 14. A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 4.0 cm. If a timer is started when its displacement is a maximum (i.e. x = 4.00 cm when t = 0 ), what is the speed of the mass when t = seconds? a m/s b m/s c m/s d. 1.2 m/s e. 1.5 m/s 15. What is the phase difference between two waves, traveling in the same medium, when they undergo constructive interference? a. 270 b. 135 c. 90 d. 45 e A 0.2 kg object is oscillating a spring with a spring constant of k = 15 N/m. What is the potential energy of the system when the object s displacement is 0.04 m from equilibrium, exactly half the maximum amplitude? a J b J c J d J e J 17. A spherical sound wave is emitted by a point source. Relative to the sound level 4.0 m from the source, the sound level 20.0 m from the source is about: a. 0 db b. +3 db c. 7 db d. +10 db e. 14 db

7 18. Organ pipe Y (open at both ends) is twice as long as organ pipe X (open at one end) as shown. The ratio of their fundamental frequencies f Y :f X is: a. 1:1 b. 1:2 c. 1:3 d. 1:4 e. 1:5 19. Two small identical speakers are connected (in phase) to the same source. The speakers are 3.0 m apart and at ear level. An observer stands at X, directly in front of, and 4.0 m away from, one speaker as shown. The sound he hears will be least intense if the wavelength is: a. 1 m b. 2 m c. 3 m d. 4 m e. 5 m

8 20. The transverse wave shown is traveling from left to right in a medium. The direction of the instantaneous velocity of the medium at point P is: a. b. c. d. e. no direction since the transverse velocity of point P is zero at the indicated time. 21. A horizontal force of 12.0 N pushes a 0.50-kg block against a vertical wall. The block is initially at rest. If µ k = 0.6 and µ s = 0.80, the frictional force is: F=12N 0.50kg a. 0.0 N b. 1.2 N c. 2.3 N d. 3.0 N e. 4.9 N

9 22. A mass M is suspended from a wire of length 2.5 m. Pulses having a wavelength of 3.5 cm travel at a frequency of 2.0 khz on the wire. If the wire has a mass of 50.0 g, what is the mass of M? 2.5 m fixed end M a. 2.0 kg b. 4.0 kg c. 6.0 kg d. 8.0 kg e kg To measure moderately low pressures oil with a density of kg/m 3 is used in place of mercury in a barometer. A pressure change of 1.0 Pa produces a change in the height of the oil column of about: a. b. c. d. e m m m m m 24. A 0.2 kg object is suspended from a spring with spring constant k = 10 N/m, and moves with simple harmonic motion with an amplitude of 0.20 m. At the instant it is displaced from equilibrium by 0.05 m, what is its acceleration? a m/s 2 b. 40 m/s 2 c. 0.1 m/s 2 d. 2.5 m/s 2 e m/s 2

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