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Suppose you create a pulse by moving the free end of a taut string up and down once with your hand beginning at t = 0. The string is attached at its other end to a distant wall. The pulse reaches the wall at time t. Which of the following actions, taken by itself, decreases the time interval required for the pulse to reach the wall? More than one choice may be correct. (a) moving your hand more quickly, but still only up and down once by the same amount (b) moving your hand more slowly, but still only up and down once by the same amount (c) moving your hand a greater distance up and down in the same amount of time (d) moving your hand a lesser distance up and down in the same amount of time (e) using a heavier string of the same length and under the same tension (f) using a lighter string of the same length and under the same tension (g) using a string of the same linear mass density but under decreased tension (h) using a string of the same linear mass density but under increased tension
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Chapter 13 Solutions
Principles of Physics: A Calculus-Based Text
- By what factor would you have to multiply the tension in a stretched string so as to double the wave speed? Assume the string does not stretch. (a) a factor of 8 (b) a factor of 4 (c) a factor of 2 (d) a factor of 0.5 (e) You could not change the speed by a predictable factor by changing the tension.arrow_forwardA pipe of length A has two open ends. Another pipe of length B has one open end and one closed end. The frequency of the first harmonic of both pipes is the same. What is (A/B)?arrow_forwardA heavy stone is hung from the ceiling by a wire mass of 8.35g and length 70.7 cm. When you pluck the upper end of the wire, a pulse travels down the wire, taking 3.89ms to reach the lower end. Find the mass in kilograms of the stone. Use at least three significant figures.arrow_forward
- Horseshoe bats use the Doppler effect to determine their location. A Horseshoe bat flies toward a wall at a speed of 15.0 m/s while emitting a sound of frequency 19.6 kHz. What is the beat frequency between the emission frequency and the echo? The speed of sound at T = 20°C is v = 343 m/s. (See Appendix B Table B.5.)arrow_forwardThe windpipe of one typical whooping crane is 5.00 feet long. What is the fundamental resonant frequency of the bird’s trachea, modeled as a narrow pipe closed at one end? Assume a temperature of 37°C.arrow_forwardA telephone cord is 4.0 m long. The cord has a mass of 0.20 kg. A transverse pulse is produced by plucking one end of the taut cord. The pulse makes four strips down and back along the cord in 0.800 s. What is the tension in the cord?arrow_forward
- You are exploring a newly discovered planet. The radius of the planet is 7.20 * 107 m. You suspend a lead weight from the lower end of a light string that is 4.00 m long and has mass 0.0280 kg. You measure that it takes 0.0685 s for a transverse pulse to travel from the lower end to the upper end of the string. On the earth, for the same string and lead weight, it takes 0.0390 s for a transverse pulse to travel the length of the string. The weight of the string is small enough that you ignore its effect on the tension in the string. Assuming that the mass of the planet is distributed with spherical symmetry, what is its mass?arrow_forwardTwo identical strings, of identical lengths of 2.00 m and linear mass density of μ = 0.0065 kg/m, are fixed on both ends. String A is under a tension of 120.00 N. String B is under a tension of 130.00 N. They are each plucked and produce sound at the n = 10 mode. What is the beat frequency?arrow_forwardA 2.0-meter long rope is hanging vertically from the ceiling and attached to a vibrator. A single pulse is observed to travel to the end of the rope in 0.50 s. What frequency should be used by the vibrator to maintain three whole waves in the rope?arrow_forward
- A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?arrow_forwardA horizontal, cylindrical iron wire is attached to a spring on one end and to a wall on the other end. The spring constant is 200 N/m and the spring is stretched an amount 20 cm. The wire is then quickly pulled up at one end and released, producing a pulse that travels the length of the wire. The radius of the wire is 1 mm, the length of the wire is 18 m, the density is 7.874 kg/m³ and Young's Modulus is 2E11 Pa. Calculate the speed of a pulse travelling along the wire. Number m/sarrow_forwardIf you stretch a rubber hose and pluck it, you can observe a pulse traveling up and down the hose. What happens to the speed of the pulse if you stretch the hose more tightly? O increases O decreases O stays the same What happens to the speed if you fill the hose with water? O increases O decreases O stays the samearrow_forward
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