TB_chapter13

# TB_chapter13 - Chapter 13 Vibrations and Waves CHAPTER 13...

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Chapter 13, Vibrations and Waves C HAPTER 13 Conceptual Problems C1. A mass-spring system on a horizontal frictionless surface is set in simple harmonic motion with amplitude A. The mass is then doubled and the system is again set into simple harmonic motion with the same amplitude. Which of the following is true about the total mechanical energy of the system due to doubling the mass? a. It has doubled. b. It has quadrupled. c. It has halved. d. It has not changed. C2. If a long spring with spring constant k is cut into 4 equal lengths, what is the spring constant of each of the 4 shorter springs? a. It is still k . b. It is k /4. c. It is 4 k . d. It is k /16. C3. When an object is moving in simple harmonic motion, which of the following is at a minimum when the displacement from equilibrium is zero? a. the magnitude of the velocity b. the magnitude of the acceleration c. the kinetic energy d. the total mechanical energy C4. A pendulum on the Earth has a period T . The acceleration of due to gravity on Mars is less than that on the Earth, and the acceleration due to gravity on the Moon is even less. Where would the period of an identical pendulum be the least? a. on the Earth b. on the Moon c. on Mars d. The period of a pendulum would be the same on the Earth, Moon, and Mars since the period depends on the pendulum’s length which is the same for identical pendula. C5. Two identical springs, each with spring constant k , are attached in parallel to a mass, which is then set into simple harmonic motion. What would be the spring constant of a single spring which would result in the same frequency of oscillation as the parallel springs? a. k b. 2 k c. k /2 d. k 2 13.1 Hooke’s Law 1. The SI base units for spring constant are which of the following? 194

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Chapter 13, Vibrations and Waves a. kg·s 2 b. kg/m 2 c. kg/s 2 d. kg·m 2 2. 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 3. 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 4. Tripling the weight suspended vertically from a coil spring will result in a change in the displacement of the spring’s lower end by what factor? a. 0.33 b. 1.0 c. 3.0 d. 9.0 5. Tripling the displacement from equilibrium of an object in simple harmonic motion will bring about a change in the magnitude of the object's acceleration by what factor? a. 0.33 b. 1.0 c. 3.0 d. 9.0 195
Chapter 13, Vibrations and Waves 6. A tiny spring, with a spring constant of 1.20 N/m, will be stretched to what displacement by a 0.005 0-N force? a. 4.2 mm

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TB_chapter13 - Chapter 13 Vibrations and Waves CHAPTER 13...

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