One end of a 2.00 kg rope is tied to support at the top of a mine shaft 80.0 m deep. The rope is stretched taut by a 20.0 kg box of rocks attached at the bottom. A geologist at the bottom of the shaft signals to a colleague at the top by jerking the rope sideways. What is the speed of a transverse wave on the rope?
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- A string with a mass of 0.036 kg has a length of 4.50 m. If the tension in the string is 65.00 N and a sinusoidal wave with an amplitude of 2.25 cm is induced on the string, what must the frequency (in Hz) be for an average power of 130.00 W? 94.975 X HzA string of mass 9 grams is stretched to a length of 0.4 meters and fastened at both end so that it can freely vibrate. The tension on the string is 2000 Newtons. What is the linear density of the string? kg/m Submit Answer Tries 0/2 At what speed would a wave propagate on this string? m/s Submit Answer Tries 0/2 What is the wavelength of the first harmonic (also called the fundamental frequency) of standing wave created by the vibrating string? Submit Answer Tries 0/2 What is the fundamental frequency of the vibrating string? HzWhat is the speed of a transverse wave on the rope if the mass were increased to 3.00 kg? What is the wavelength of a transverse wave on the rope if the mass were increased to 3.00 kg?
- A rope has a density of 7.5 g/cm^2 and a cross-sectional area of 2.0 cm^2. When the rope is subjected to a tension of 100N, and one end is vibrated up and down with a frequency of 25 Hz, what is the (a) velocity of the transverse wave in the rope an (b) wavelength in the rope?A phone cord is 4.89 m long. The cord has a mass of 0.212 kg. A transverse wave pulse is produced by plucking one end of the taut cord. That pulse makes four round trips (down and back) along the cord in 0.666 s. What is the tension in the cord? Hint: Four round trips is a total distance of eight lengths of the cord.A string is under tension and has a mass of 0.2 kg. The string is 2 meters long and is fixed at both ends. A transverse wave is produced on the string, and its frequency is 100 Hz. The wave travels with a speed of 20 m/s along the string. Determine the wavelength of the wave.
- The wave function on a taut string is described by y(x,t) = 0.05 sin(2Ttx - 30Ttt - Tt/2), where x and y are in meters and t is in seconds. At what time would an element on the string located at x = 1 m have a maximum positive transverse velocity for the first time. 1/60 sec 1/20 sec O 1/37 sec 1/15 sec 1/12 secThe amplitude?A steel wire is 5.00 m long and is stretched with a tension of 1400 N . The speed of propagation of a transverse wave on the wire is 800 m/s. a)What is the mass per unit length of the wire, μ? b)What is the mass of the wire?
- A wire is stretched between two posts. Another wire is stretched between two posts that are twice as far apart. The tension in the wires is the same, and they have the same mass. A transverse wave travels on the shorter wire with a speed of 206 m/s. What would be the speed of the wave on the longer wire? Vionger Vshorter -Lshorter" -LiongerTransverse waves traveling along a string have the following properties. Amplitude of the wave = : 2.40 mm Wavelength of the wave = 0.150 m Speed of the wave = 348 m/s Determine the time for a particle of the string to move through a total distance of 1.50 km. 4.0 67.3 S If the string is held under a tension of 1022 N, determine its linear density 4.0 118497 X g/mTwo transverse waves travel through a taut string. The speed of each wave is v = 30.00 m/s. A plot of the vertical position as a function of the horizontal position is shown below for the time t = 0.00 s. (a) What is the wavelength of each wave? (b) What is the frequency of each wave? (c) What is the maximum vertical speed of each string?