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Waves and Sound Dynamics: Problems and Solutions

Explore wave properties, sound wave dynamics, density changes, and force calculations with practical problem-solving explanations. Enhance your understanding of wave phenomena and charge interactions.

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Waves and Sound Dynamics: Problems and Solutions

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  1. Exam 1 review

  2. Chapter 15-Pb7 • 7. (II) A 0.40-kg cord is stretched between two supports, 7.8 m apart. When one support is struck by a hammer, a transverse wave travels down the cord and reaches the other support in 0.85 s. What is the tension in the cord?

  3. Chapter 15-Pb15 • 15. (I) Two earthquake waves of the same frequency travel through the same portion of the Earth, but one is carrying 3.0 times the energy. What is the ratio of the amplitudes of the two waves?

  4. Chapter 15-Pb24 • 24. (II) A transverse traveling wave on a cord is represented by where D and x are in meters and t is in seconds. For this wave determine (a) the wavelength, (b) frequency, (c) velocity (d) amplitude, and (e) maximum and minimum speeds of particles of the cord.

  5. Chapter 16-Pb 28 • 28. (II) If the amplitude of a sound wave is made 2.5 times greater, (a) by what factor will the intensity increase? (b) By how many dB will the sound level increase?

  6. Chapter 16-Pb 60 60. (II) A source emits sound of wavelengths 2.64 m and 2.72 m in air. (a) How many beats per second will be heard? (Assume T=20 ºC ) (b) How far apart in space are the regions of maximum intensity?

  7. Chapter 16-Pb 64 64. (II) Two automobiles are equipped with the same single-frequency horn. When one is at rest and the other is moving toward the first at 15m/s, the driver at rest hears a beat frequency of 4.5 Hz. What is the frequency the horns emit? Assume T=20 C.

  8. Chapter 17-Pb 11 • 11. (II) The density of water at 4°C is 1 kg/m3. What is water’s density at 94°C? Assume a constant coefficient of volume expansion.

  9. Chapter 17-Pb 15 • 15. (II) An aluminum sphere is 8.75 cm in diameter. What will be its change in volume if it is heated from 30°C to 180°C?

  10. Chapter 17-Pb 17 • 17. (II) It is observed that 55.50 mL of water at 20°C completely fills a container to the brim. When the container and the water are heated to 60°C, 0.35 g of water is lost. (a) What is the coefficient of volume expansion of the container? (b) What is the most likely material of the container? Density of water at 60°C is

  11. Chapter 19-Pb 13 • 13. (II) A 31.5-g glass thermometer reads 23.6°C before it is placed in 135 mL of water. When the water and thermometer come to equilibrium, the thermometer reads 39.2°C. What was the original temperature of the water? [Hint: Ignore the mass of fluid inside the glass thermometer.]

  12. Chapter 19-Pb 20 (done in class) • 20. (II) A 35-g ice cube at its melting point is dropped into an insulated container of liquid nitrogen. How much nitrogen evaporates if it is at its boiling point of 77 K and has a latent heat of vaporization of 200kJ/kg Assume for simplicity that the specific heat of ice is a constant and is equal to its value near its melting point.

  13. Chapter 21-Pb 13 • 13. (II) Three charged particles are placed at the corners of an equilateral triangle of side 1.20 m (Fig. 21–53). The charges are 7.0µC, -8.0µC and -6.0µC Calculate the magnitude and direction of the net force on each due to the other two.

  14. Chapter 21-Pb 15 • 15. (II) A charge of 4.15mC is placed at each corner of a square 0.100 m on a side. Determine the magnitude and direction of the force on each charge.

  15. Chapter 21-Pb 16 • 16. (II) Two negative and two positive point charges of 4.15mC are placed on opposite corners of a square as shown in Fig. 21–54. Determine the magnitude and direction of the force on each charge.

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