Reference Information Waves Mathematics ag = 9.81 m/s2 Simple Pendulum in Simple Harmonic Motion Hooke’s Law Felastic = –kx T = 2 Wave Equation v = fλ Mass-Spring System in Simple Harmonic Motion T = 2 1. If a mass of 0.75 kg attached to a vertical spring stretches the spring 5.0 m from its original equilibrium position, what is the spring constant? (A) 0.15 N/m (B) 1.5 N/m (C) 2.0 N/m (D) 2.4 N/m (E) 150 N/m 2. What is the length of a pendulum that oscillates with a frequency of 0.21 Hz? (A) 0.011 m (B) 0.33 m (C) 2.1 m (D) 4.8 m (E) 5.6 m Mathematics continued L ag m k 3. What is the period of a massspring system with a mass of 25.0 kg and a spring constant of 1.25 N/m? (A) 0.990 s (B) 1.40 s (C) 19.8 s (D) 28.1 s (E) 631 s 4. What is the period of a metronome that vibrates at a frequency of 4.0 Hz? (A) 0.25 s (B) 0.40 s (C) 2.0 s (D) 15 s (E) 240 s GO ON TO THE NEXT PAGE Name ________________________________ Class ____________________ Date _______________________ Questions 5–8 are based on the following illustration of a wave traveling in the positive x direction with a frequency of 33.3 Hz. 5. What is the amplitude of the wave? (A) 5.0 cm (B) 6.0 cm (C) 10.0 cm (D) 12.0 cm (E) 20.0 cm (E) 333 s 6. What is the wavelength of the wave? (A) 5.0 cm (B) 6.0 cm (C) 10.0 cm (D) 12.0 cm (E) 20.0 cm 7. What is the period of the wave? (A) 0.0300 s (B) 3.00 s (C) 33.3 s (D) 166 s Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor. Holt Physics: Chapter 11 2 Mathematics Name ________________________________ Class ____________________ Date _______________________ 8. What is the speed of the wave? (A) 0.0300 m/s (B) 3.00 m/s (C) 33.3 m/s (D) 166 m/s (E) 333 m/s 9. A sound wave has a frequency of 3400 Hz and a wavelength of 1.5 m in a certain medium. What is the speed of the wave in that medium? (A) 4.4 × 10-4 m/s (B) 2.9 × 10-4 m/s (C) 1.9 m/s (D) 2300 m/s (E) ____________________________________________ 5100 m/s 10. A wave of frequency 42.5 Hz travels at a speed of 3.5 m/s. What is the wavelength of the wave? (A) 0.082 cm (B) 8.2 cm (C) 12 cm (D) 150 cm (E) 15,000 cm Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor. Holt Physics: Chapter 11 3 Mathematics Name ________________________________ Class ____________________ Date _______________________ Fluids in Motion Every second, 1.20 m3 of water enters a heating system through a pipe of medium width, A, with a cross-sectional area of 0.200 m2. The water then flows into a wide pipe, B, with an area of 0.600 m2, and flows out through a narrow pipe, C, with an area of 0.100 m2. 1. What is the flow rate in each pipe? ______________________________________________________________ 2. What is the length of the segment of pipe A that contains 1.20 m3 of water? Sketch the marks on the diagram above showing the segments of pipes B and C that would contain the same amount of water. What is the length of each segment? ______________________________________________________________ 3. How much time is required for water to travel the lengths you found in pipe A? in pipe B? in pipe C? ______________________________________________________________ 4. What is the flow speed of water in each pipe? ______________________________________________________________ 5. Does the speed of water increase when it enters a narrow pipe? Does the flow rate increase? Explain. ______________________________________________________________ ______________________________________________________________ Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor. Holt Physics: Chapter 11 4 Mathematics Name ________________________________ Class ____________________ Date _______________________ Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor. Holt Physics: Chapter 11 5 Mathematics Name ________________________________ Class ____________________ Date _______________________ Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor. Holt Physics: Chapter 11 6 Mathematics