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A sinusoidal wave is sent along a string with a linear density of 2.42 g/m. As it travels, the kinetic energies of the mass elements along the string vary. Figure (a) gives the rate dk/dt at which kinetic energy passes through the string elements at a particular instant, plotted as a function of distance x along the string. Figure (b) is similar except that it gives the rate at which kinetic energy passes through a particular

A sinusoidal wave is sent along a string with a linear density of 2.42 g/m. As it travels, the kinetic energies of the mass elements along the string vary. Figure (a) gives the rate dk/dt at which kinetic energy passes through the string elements at a particular instant, plotted as a function of distance x along the string. Figure (b) is similar except that it gives the rate at which kinetic energy passes through a particular

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A sinusoidal wave is sent along a string with a linear density of 2.42 g/m. As it travels, the kinetic energies of the mass elements along the string vary. Figure (a) gives the rate dk/dt at which kinetic energy passes through the string elements at a particular instant, plotted as a function of distance x along the string. Figure (b) is similar except that it gives the rate at which kinetic energy passes through a particular mass element (at a particular location), plotted as a function of time t. For both figures, the scale on the vertical (rate) axis is set by Rs = 5 W. What is the amplitude of the wave? R₂ WW 0.2 Number 0.1 x (m) (a) Units t (ms) (b) 9 <> Equation 16-30 gives dK/dt as a function of x and t. From the first graph, can you find the wavelength? How is it related to the angular wave number? From the second graph, can you find the period? How is that related to the angular frequency? How is the wave speed related to the angular wave number and angular frequency?
Transcribed Image Text:A sinusoidal wave is sent along a string with a linear density of 2.42 g/m. As it travels, the kinetic energies of the mass elements along the string vary. Figure (a) gives the rate dk/dt at which kinetic energy passes through the string elements at a particular instant, plotted as a function of distance x along the string. Figure (b) is similar except that it gives the rate at which kinetic energy passes through a particular mass element (at a particular location), plotted as a function of time t. For both figures, the scale on the vertical (rate) axis is set by Rs = 5 W. What is the amplitude of the wave? R₂ WW 0.2 Number 0.1 x (m) (a) Units t (ms) (b) 9 <> Equation 16-30 gives dK/dt as a function of x and t. From the first graph, can you find the wavelength? How is it related to the angular wave number? From the second graph, can you find the period? How is that related to the angular frequency? How is the wave speed related to the angular wave number and angular frequency?
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