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PLEASE SHOW WORK 1. A wave is sent back and forth along a rope 4 m long with a mass of 0.6 kg by exerting a force a force of 30 N. Calculate the...

1.    A wave is sent back and forth along a rope 4 m long with a mass of 0.6 kg by exerting a force a force of 30 N. Calculate the linear mass density of the rope (in kg/m).

1. A 3 Hz wave has a wavelength of 0.4 m. Calculate the speed of the wave (in m/s).
2. . A wave travels at 60 m/s and has a wavelength of 2.8 m. Calculate the wave frequency (in Hertz).
3. Calculate the wavelength (in m) of the note middle "C" (frequency = 256 Hz) in air at room temperature and pressure.
4. If the tension (i.e., force) on a string increases 2 times but the density of the string remains constant, the new speed of waves on the string will be how many times greater than the original speed?
5. If the length of a string increases 2 times but the mass of the string remains constant, the new density of the string will equal the original density multiplied by what factor?
6. Calculate the speed of a wave (in m/s) in a material if the frequency is 200 Hz and the wavelength is 0.5 m.
7. Calculate the speed of sound in a string that has a tension of 100 N and a linear mass density of 0.0001 kg/m

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