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Unformatted text preview: Chapter 13, Vibrations and Waves C HAPTER 13 1. A large spring requires a force of 150 N to compress it only 0.010 m. What is the spring constant of the spring? a. 125 000 N/m b. 15 000 N/m c. 15 N/m d. 1.5 N/m 2. A 0.20-kg object is attached to a spring with spring constant k = 10 N/m and moves with simple harmonic motion over a horizontal frictionless surface. At the instant that it is displaced from equilibrium by 0.050 m, what is its acceleration? a. 1 000 m/s 2 b. 40 m/s 2 c. 0.1 m/s 2 d. 2.5 m/s 2 3. A 0.20-kg object is oscillating on a spring with a spring constant of k = 15 N/m. What is the potential energy of the system when the object displacement is 0.040 m, exactly half the maximum amplitude? a. zero b. 0.006 0 J c. 0.012 J d. 2.5 J 4. A 0.20 kg object, attached to a spring with spring constant k = 10 N/m, is moving on a horizontal frictionless surface in simple harmonic motion of amplitude of 0.080 m. What is its speed at the instant when its displacement is 0.040 m? (Hint: Use conservation of energy.) a. 9.8 m/s b. 4.9 m/s c. 49 cm/s d. 24.5 cm/s 5. An object is attached to a spring and its frequency of oscillation is measured. Then another object is connected to the first object, and the resulting mass is four times the original value. By what factor is the frequency of oscillation changed? a. 1/4 b. 1/2 c. 1/16 d. 4 158 Chapter 13, Vibrations and Waves 6. The kinetic energy of the bob on a simple pendulum swinging in simple harmonic motion has its maximum value when the displacement from equilibrium is at what point in its swing? a. zero displacement b. 1/4 the amplitude c. 1/2 the amplitude d. equal the amplitude 7. If one could transport a simple pendulum of constant length from the Earth's surface to the Moon's, where the acceleration due to gravity is one-sixth (1/6) that on the Earth, by what factor would the pendulum frequency be changed? a. about 6.0 b. about 2.5 c. about 0.41 d. about 0.17 8. A long string is pulled so that the tension in it increases by a factor of three. If the change in length is negligible, by what factor does the wave speed change? a. 3.0 b. 1.7 c. 0.58 d. 0.33 9. If the frequency of a traveling wave train is increased by a factor of three in a medium where the speed is constant, which of the following is the result? a. amplitude is one third as big b. amplitude is tripled c. wavelength is one third as big d. wavelength is tripled 10. What is the phase difference when two waves, traveling in the same medium, undergo constructive interference? a. 270 b. 180 c. 90 d. 0 11. Tripling the weight suspended vertically from a coil spring will result in a change in the displacement of the springs lower end by what factor?...
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