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Physics Pp Presentation Ch 11

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This document provides instructions for navigating a presentation on vibrations and waves. It begins with directions for viewing the presentation as a slideshow and advancing through it. It then lists the chapter contents which cover topics like simple harmonic motion, wave properties, and wave interactions. Sample problems and objectives are provided for each section. The document concludes with multiple choice questions related to simple harmonic motion.

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How to Use This Presentation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Chapter Presentation Transparencies Sample Problems Visual Concepts Standardized Test Prep Resources
Table of Contents ,[object Object],[object Object],[object Object],[object Object],Vibrations and Waves Chapter 11
Objectives ,[object Object],[object Object],[object Object],Section 1 Simple Harmonic Motion Chapter 11
Hooke’s Law ,[object Object],[object Object],Chapter 11 Section 1 Simple Harmonic Motion
Hooke’s Law, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 1 Simple Harmonic Motion
Hooke’s Law, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 1 Simple Harmonic Motion
Spring Constant Chapter 11 Section 1 Simple Harmonic Motion
Sample Problem ,[object Object],[object Object],Chapter 11 Section 1 Simple Harmonic Motion
Sample Problem, continued Chapter 11 Section 1 Simple Harmonic Motion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Sample Problem, continued Chapter 11 Section 1 Simple Harmonic Motion 2. Plan Choose an equation or situation: When the mass is attached to the spring,the equilibrium position changes. At the new equilibrium position, the net force acting on the mass is zero. So the spring force (given by Hooke’s law) must be equal and opposite to the weight of the mass. F net = 0 = F elastic + F g F elastic = – kx F g = – mg – kx – mg = 0
Sample Problem, continued Chapter 11 Section 1 Simple Harmonic Motion 2. Plan, continued Rearrange the equation to isolate the unknown:
Sample Problem, continued Chapter 11 Section 1 Simple Harmonic Motion 3. Calculate Substitute the values into the equation and solve: 4. Evaluate The value of k implies that 270 N of force is required to displace the spring 1 m.
Simple Harmonic Motion ,[object Object],[object Object],[object Object],Chapter 11 Section 1 Simple Harmonic Motion
Simple Harmonic Motion Chapter 11 Section 1 Simple Harmonic Motion
Force and Energy in Simple Harmonic Motion Chapter 11 Section 1 Simple Harmonic Motion
The Simple Pendulum ,[object Object],Chapter 11 Section 1 Simple Harmonic Motion The forces acting on the bob at any point are the force exerted by the string and the gravitational force. ,[object Object],[object Object]
The Simple Pendulum, continued ,[object Object],[object Object],Chapter 11 Section 1 Simple Harmonic Motion ,[object Object],[object Object]
Restoring Force and Simple Pendulums Chapter 11 Section 1 Simple Harmonic Motion
Simple Harmonic Motion Chapter 11 Section 1 Simple Harmonic Motion
Objectives ,[object Object],[object Object],[object Object],Chapter 11 Section 2 Measuring Simple Harmonic Motion
Amplitude, Period, and Frequency in SHM ,[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 2 Measuring Simple Harmonic Motion
Amplitude, Period, and Frequency in SHM ,[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 2 Measuring Simple Harmonic Motion
Amplitude, Period, and Frequency in SHM, continued ,[object Object],Chapter 11 Section 2 Measuring Simple Harmonic Motion ,[object Object]
Measures of Simple Harmonic Motion Chapter 11 Section 2 Measuring Simple Harmonic Motion
Measures of Simple Harmonic Motion Chapter 11 Section 2 Measuring Simple Harmonic Motion
Period of a Simple Pendulum in SHM ,[object Object],Chapter 11 Section 2 Measuring Simple Harmonic Motion ,[object Object]
Period of a Mass-Spring System in SHM ,[object Object],Chapter 11 Section 2 Measuring Simple Harmonic Motion ,[object Object],[object Object]
Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 3 Properties of Waves
Wave Motion ,[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 3 Properties of Waves
Wave Types ,[object Object],[object Object],[object Object],Chapter 11 Section 3 Properties of Waves
Relationship Between SHM and Wave Motion Chapter 11 Section 3 Properties of Waves As the sine wave created by this vibrating blade travels to the right, a single point on the string vibrates up and down with simple harmonic motion.
Wave Types, continued ,[object Object],[object Object],[object Object],Chapter 11 Section 3 Properties of Waves
Transverse Waves Chapter 11 Section 3 Properties of Waves
Wave Types, continued ,[object Object],[object Object],[object Object],Chapter 11 Section 3 Properties of Waves
Longitudinal Waves Chapter 11 Section 3 Properties of Waves
Period, Frequency, and Wave Speed ,[object Object],[object Object],[object Object],Chapter 11 Section 3 Properties of Waves
Characteristics of a Wave Chapter 11 Section 3 Properties of Waves
Period, Frequency, and Wave Speed, continued ,[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 3 Properties of Waves
Waves and Energy Transfer ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 3 Properties of Waves
Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 4 Wave Interactions
Wave Interference ,[object Object],[object Object],[object Object],Chapter 11 Section 4 Wave Interactions
Wave Interference, continued ,[object Object],Chapter 11 Section 4 Wave Interactions
Wave Interference, continued ,[object Object],Chapter 11 Section 4 Wave Interactions
Comparing Constructive and Destructive Interference Chapter 11 Section 4 Wave Interactions
Reflection ,[object Object],[object Object],[object Object],Chapter 11 Section 4 Wave Interactions Free boundary Fixed boundary
Standing Waves Chapter 11 Section 4 Wave Interactions
Standing Waves ,[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 4 Wave Interactions
Standing Waves, continued ,[object Object],[object Object],[object Object],[object Object],Chapter 11 Section 4 Wave Interactions
Standing Waves Chapter 11 Section 4 Wave Interactions This photograph shows four possible standing waves that can exist on a given string. The diagram shows the progression of the second standing wave for one-half of a cycle.
Multiple Choice ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 1. In what direction does the restoring force act? A. to the left B. to the right C. to the left or to the right depending on whether the spring is stretched or compressed D. perpendicular to the motion of the mass
Multiple Choice ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 1. In what direction does the restoring force act? A. to the left B. to the right C. to the left or to the right depending on whether the spring is stretched or compressed D. perpendicular to the motion of the mass
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 2. If the mass is displaced –0.35 m from its equilibrium position, the restoring force is 7.0 N. What is the spring constant? F. –5.0  10 –2 N/m H. 5.0  10 –2 N/m G. –2.0  10 1 N/m J. 2.0  10 1 N/m
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 2. If the mass is displaced –0.35 m from its equilibrium position, the restoring force is 7.0 N. What is the spring constant? F. –5.0  10 –2 N/m H. 5.0  10 –2 N/m G. –2.0  10 1 N/m J. 2.0  10 1 N/m
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 3. In what form is the energy in the system when the mass passes through the equilibrium point? A. elastic potential energy B. gravitational potential energy C. kinetic energy D. a combination of two or more of the above
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 3. In what form is the energy in the system when the mass passes through the equilibrium point? A. elastic potential energy B. gravitational potential energy C. kinetic energy D. a combination of two or more of the above
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 4. In what form is the energy in the system when the mass is at maximum displacement? F. elastic potential energy G. gravitational potential energy H. kinetic energy J. a combination of two or more of the above
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 4. In what form is the energy in the system when the mass is at maximum displacement? F. elastic potential energy G. gravitational potential energy H. kinetic energy J. a combination of two or more of the above
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 5. Which of the following does not affect the period of the mass-spring system? A. mass B. spring constant C. amplitude of vibration D. All of the above affect the period.
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 5. Which of the following does not affect the period of the mass-spring system? A. mass B. spring constant C. amplitude of vibration D. All of the above affect the period.
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 6. If the mass is 48 kg and the spring constant is 12 N/m, what is the period of the oscillation? F. 8  s H.  s G. 4  s J.   s
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A mass is attached to a spring and moves with simple harmonic motion on a frictionless horizontal surface. 6. If the mass is 48 kg and the spring constant is 12 N/m, what is the period of the oscillation? F. 8  s H.  s G. 4  s J.   s
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A pendulum bob hangs from a string and moves with simple harmonic motion. 7. What is the restoring force in the pendulum? A. the total weight of the bob B. the component of the bob’s weight tangent to the motion of the bob C. the component of the bob’s weight perpendicular to the motion of the bob D. the elastic force of the stretched string
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A pendulum bob hangs from a string and moves with simple harmonic motion. 7. What is the restoring force in the pendulum? A. the total weight of the bob B. the component of the bob’s weight tangent to the motion of the bob C. the component of the bob’s weight perpendicular to the motion of the bob D. the elastic force of the stretched string
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A pendulum bob hangs from a string and moves with simple harmonic motion. 8. Which of the following does not affect the period of the pendulum? F. the length of the string G. the mass of the pendulum bob H. the free-fall acceleration at the pendulum’s location J. All of the above affect the period.
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A pendulum bob hangs from a string and moves with simple harmonic motion. 8. Which of the following does not affect the period of the pendulum? F. the length of the string G. the mass of the pendulum bob H. the free-fall acceleration at the pendulum’s location J. All of the above affect the period.
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A pendulum bob hangs from a string and moves with simple harmonic motion. 9. If the pendulum completes exactly 12 cycles in 2.0 min, what is the frequency of the pendulum? A. 0.10 Hz B. 0.17 Hz C. 6.0 Hz D. 10 Hz
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A pendulum bob hangs from a string and moves with simple harmonic motion. 9. If the pendulum completes exactly 12 cycles in 2.0 min, what is the frequency of the pendulum? A. 0.10 Hz B. 0.17 Hz C. 6.0 Hz D. 10 Hz
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A pendulum bob hangs from a string and moves with simple harmonic motion. 10. If the pendulum’s length is 2.00 m and a g = 9.80 m/s 2 , how many complete oscillations does the pendulum make in 5.00 min? F. 1.76 H. 106 G. 21.6 J. 239
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 A pendulum bob hangs from a string and moves with simple harmonic motion. 10. If the pendulum’s length is 2.00 m and a g = 9.80 m/s 2 , how many complete oscillations does the pendulum make in 5.00 min? F. 1.76 H. 106 G. 21.6 J. 239
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 11. What kind of wave does this graph represent? A. transverse wave C. electromagnetic wave B. longitudinal wave D. pulse wave
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 11. What kind of wave does this graph represent? A. transverse wave C. electromagnetic wave B. longitudinal wave D. pulse wave
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 12. Which letter on the graph represents wavelength? F. A H. C G. B J. D
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 12. Which letter on the graph represents wavelength? F. A H. C G. B J. D
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 13. Which letter on the graph is used for a trough? A. A C. C B. B D. D
Multiple Choice, continued ,[object Object],Standardized Test Prep Chapter 11 13. Which letter on the graph is used for a trough? A. A C. C B. B D. D
Multiple Choice, continued ,[object Object],[object Object],[object Object],Standardized Test Prep Chapter 11 14. What is the amplitude of the resultant wave if the interference is constructive? F. 0.22 m G. 0.53 m H. 0.75 m J. 1.28 m
Multiple Choice, continued ,[object Object],[object Object],[object Object],Standardized Test Prep Chapter 11 14. What is the amplitude of the resultant wave if the interference is constructive? F. 0.22 m G. 0.53 m H. 0.75 m J. 1.28 m
Multiple Choice, continued ,[object Object],[object Object],[object Object],Standardized Test Prep Chapter 11 15. What is the amplitude of the resultant wave if the interference is destructive? A. 0.22 m B. 0.53 m C. 0.75 m D. 1.28 m
Multiple Choice, continued ,[object Object],[object Object],[object Object],Standardized Test Prep Chapter 11 15. What is the amplitude of the resultant wave if the interference is destructive? A. 0.22 m B. 0.53 m C. 0.75 m D. 1.28 m
Multiple Choice, continued Standardized Test Prep Chapter 11 16. Two successive crests of a transverse wave 1.20 m apart. Eight crests pass a given point 12.0 s. What is the wave speed? F. 0.667 m/s G. 0.800 m/s H. 1.80 m/s J. 9.60 m/s
Multiple Choice, continued Standardized Test Prep Chapter 11 16. Two successive crests of a transverse wave 1.20 m apart. Eight crests pass a given point 12.0 s. What is the wave speed? F. 0.667 m/s G. 0.800 m/s H. 1.80 m/s J. 9.60 m/s
Short Response Standardized Test Prep Chapter 11 17. Green light has a wavelength of 5.20  10 –7 m and a speed in air of 3.00  10 8 m/s. Calculate the frequency and the period of the light.
Short Response Standardized Test Prep Chapter 11 17. Green light has a wavelength of 5.20  10 –7 m and a speed in air of 3.00  10 8 m/s. Calculate the frequency and the period of the light. Answer: 5.77  10 14 Hz, 1.73  10 –15 s
Short Response, continued Standardized Test Prep Chapter 11 18. What kind of wave does not need a medium through which to travel?
Short Response, continued Standardized Test Prep Chapter 11 18. What kind of wave does not need a medium through which to travel? Answer: electromagnetic waves
Short Response, continued Standardized Test Prep Chapter 11 19. List three wavelengths that could form standing waves on a 2.0 m string that is fixed at both ends.
Short Response, continued Standardized Test Prep Chapter 11 19. List three wavelengths that could form standing waves on a 2.0 m string that is fixed at both ends. Answer: Possible correct answers include 4.0 m, 2.0 m, 1.3 m, 1.0 m, or other wavelengths such that n  = 4.0 m (where n is a positive integer).
Extended Response Standardized Test Prep Chapter 11 20. A visitor to a lighthouse wishes to find out the height of the tower. The visitor ties a spool of thread to a small rock to make a simple pendulum. Then, the visitor hangs the pendulum down a spiral staircase in the center of the tower. The period of oscillation is 9.49 s. What is the height of the tower? Show all of your work.
Extended Response Standardized Test Prep Chapter 11 20. A visitor to a lighthouse wishes to find out the height of the tower. The visitor ties a spool of thread to a small rock to make a simple pendulum. Then, the visitor hangs the pendulum down a spiral staircase in the center of the tower. The period of oscillation is 9.49 s. What is the height of the tower? Show all of your work. Answer: 22.4 m
Extended Response, continued Standardized Test Prep Chapter 11 21. A harmonic wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 30.0 s. A given crest of the wave travels 425 cm along the rope in a period of 10.0 s. What is the wavelength? Show all of your work.
Extended Response, continued Standardized Test Prep Chapter 11 21. A harmonic wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 30.0 s. A given crest of the wave travels 425 cm along the rope in a period of 10.0 s. What is the wavelength? Show all of your work. Answer: 0.319 m
Hooke’s Law Chapter 11 Section 1 Simple Harmonic Motion
Transverse Waves Chapter 11 Section 3 Properties of Waves
Longitudinal Waves Chapter 11 Section 3 Properties of Waves
Constructive Interference Chapter 11 Section 4 Wave Interactions
Destructive Interference Chapter 11 Section 4 Wave Interactions
Reflection of a Pulse Wave Chapter 11 Section 4 Wave Interactions

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Physics Pp Presentation Ch 11

  • 1.
  • 2. Chapter Presentation Transparencies Sample Problems Visual Concepts Standardized Test Prep Resources
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  • 8. Spring Constant Chapter 11 Section 1 Simple Harmonic Motion
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  • 11. Sample Problem, continued Chapter 11 Section 1 Simple Harmonic Motion 2. Plan Choose an equation or situation: When the mass is attached to the spring,the equilibrium position changes. At the new equilibrium position, the net force acting on the mass is zero. So the spring force (given by Hooke’s law) must be equal and opposite to the weight of the mass. F net = 0 = F elastic + F g F elastic = – kx F g = – mg – kx – mg = 0
  • 12. Sample Problem, continued Chapter 11 Section 1 Simple Harmonic Motion 2. Plan, continued Rearrange the equation to isolate the unknown:
  • 13. Sample Problem, continued Chapter 11 Section 1 Simple Harmonic Motion 3. Calculate Substitute the values into the equation and solve: 4. Evaluate The value of k implies that 270 N of force is required to displace the spring 1 m.
  • 14.
  • 15. Simple Harmonic Motion Chapter 11 Section 1 Simple Harmonic Motion
  • 16. Force and Energy in Simple Harmonic Motion Chapter 11 Section 1 Simple Harmonic Motion
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  • 19. Restoring Force and Simple Pendulums Chapter 11 Section 1 Simple Harmonic Motion
  • 20. Simple Harmonic Motion Chapter 11 Section 1 Simple Harmonic Motion
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  • 25. Measures of Simple Harmonic Motion Chapter 11 Section 2 Measuring Simple Harmonic Motion
  • 26. Measures of Simple Harmonic Motion Chapter 11 Section 2 Measuring Simple Harmonic Motion
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  • 32. Relationship Between SHM and Wave Motion Chapter 11 Section 3 Properties of Waves As the sine wave created by this vibrating blade travels to the right, a single point on the string vibrates up and down with simple harmonic motion.
  • 33.
  • 34. Transverse Waves Chapter 11 Section 3 Properties of Waves
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  • 36. Longitudinal Waves Chapter 11 Section 3 Properties of Waves
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  • 38. Characteristics of a Wave Chapter 11 Section 3 Properties of Waves
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  • 45. Comparing Constructive and Destructive Interference Chapter 11 Section 4 Wave Interactions
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  • 47. Standing Waves Chapter 11 Section 4 Wave Interactions
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  • 50. Standing Waves Chapter 11 Section 4 Wave Interactions This photograph shows four possible standing waves that can exist on a given string. The diagram shows the progression of the second standing wave for one-half of a cycle.
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  • 81. Multiple Choice, continued Standardized Test Prep Chapter 11 16. Two successive crests of a transverse wave 1.20 m apart. Eight crests pass a given point 12.0 s. What is the wave speed? F. 0.667 m/s G. 0.800 m/s H. 1.80 m/s J. 9.60 m/s
  • 82. Multiple Choice, continued Standardized Test Prep Chapter 11 16. Two successive crests of a transverse wave 1.20 m apart. Eight crests pass a given point 12.0 s. What is the wave speed? F. 0.667 m/s G. 0.800 m/s H. 1.80 m/s J. 9.60 m/s
  • 83. Short Response Standardized Test Prep Chapter 11 17. Green light has a wavelength of 5.20  10 –7 m and a speed in air of 3.00  10 8 m/s. Calculate the frequency and the period of the light.
  • 84. Short Response Standardized Test Prep Chapter 11 17. Green light has a wavelength of 5.20  10 –7 m and a speed in air of 3.00  10 8 m/s. Calculate the frequency and the period of the light. Answer: 5.77  10 14 Hz, 1.73  10 –15 s
  • 85. Short Response, continued Standardized Test Prep Chapter 11 18. What kind of wave does not need a medium through which to travel?
  • 86. Short Response, continued Standardized Test Prep Chapter 11 18. What kind of wave does not need a medium through which to travel? Answer: electromagnetic waves
  • 87. Short Response, continued Standardized Test Prep Chapter 11 19. List three wavelengths that could form standing waves on a 2.0 m string that is fixed at both ends.
  • 88. Short Response, continued Standardized Test Prep Chapter 11 19. List three wavelengths that could form standing waves on a 2.0 m string that is fixed at both ends. Answer: Possible correct answers include 4.0 m, 2.0 m, 1.3 m, 1.0 m, or other wavelengths such that n  = 4.0 m (where n is a positive integer).
  • 89. Extended Response Standardized Test Prep Chapter 11 20. A visitor to a lighthouse wishes to find out the height of the tower. The visitor ties a spool of thread to a small rock to make a simple pendulum. Then, the visitor hangs the pendulum down a spiral staircase in the center of the tower. The period of oscillation is 9.49 s. What is the height of the tower? Show all of your work.
  • 90. Extended Response Standardized Test Prep Chapter 11 20. A visitor to a lighthouse wishes to find out the height of the tower. The visitor ties a spool of thread to a small rock to make a simple pendulum. Then, the visitor hangs the pendulum down a spiral staircase in the center of the tower. The period of oscillation is 9.49 s. What is the height of the tower? Show all of your work. Answer: 22.4 m
  • 91. Extended Response, continued Standardized Test Prep Chapter 11 21. A harmonic wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 30.0 s. A given crest of the wave travels 425 cm along the rope in a period of 10.0 s. What is the wavelength? Show all of your work.
  • 92. Extended Response, continued Standardized Test Prep Chapter 11 21. A harmonic wave is traveling along a rope. The oscillator that generates the wave completes 40.0 vibrations in 30.0 s. A given crest of the wave travels 425 cm along the rope in a period of 10.0 s. What is the wavelength? Show all of your work. Answer: 0.319 m
  • 93. Hooke’s Law Chapter 11 Section 1 Simple Harmonic Motion
  • 94. Transverse Waves Chapter 11 Section 3 Properties of Waves
  • 95. Longitudinal Waves Chapter 11 Section 3 Properties of Waves
  • 96. Constructive Interference Chapter 11 Section 4 Wave Interactions
  • 97. Destructive Interference Chapter 11 Section 4 Wave Interactions
  • 98. Reflection of a Pulse Wave Chapter 11 Section 4 Wave Interactions