Practice problesm 16-17 (2)

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Oct 30, 2023

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Chapter 16 & 17: Oscillating Waves and Sound Practice Problems Chapter 16: 1. When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force constant of the spring? (b) Will the spring be compressed more when he hops down the road? 2. A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.00 s? 3. What is the period of a 1.00-m-long pendulum? 4. (a) What is the maximum velocity of an 85.0-kg person bouncing on a bathroom scale having a force constant of 1.50 10 N/m 6 × , if the amplitude of the bounce is 0.200 cm? (b) What is the maximum energy stored in the spring? 5. How many times a minute does a boat bob up and down on ocean waves that have a wavelength of 40.0 m and a propagation speed of 5.00 m/s? Chapter 17: 6. The warning tag on a lawn mower states that it produces noise at a level of 91.0 dB. What is this in watts per meter squared? 7. A spectator at a parade receives an 888-Hz tone from an oncoming trumpeter who is playing an 880-Hz note. At what speed is the musician approaching if the speed of sound is 338 m/s? Solutions: 1. Using the equation F = −kx, where m = 80 kg and x = −0.120 m gives: Yes, when the man is at his lowest point in his hopping the spring will be compressed the most. Solution #2
Solution #3 Solution #4 Solution #5:
Solution #6: Solution #7: v L = v s ( v + v L v − v s ) if moving towards velocity is positive, away is negative. 888 = 880 ( 338 + 0 338 − v s ) V s = 3.05 m/s, because the velocity is positive, means it is coming towards the spectator
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