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1. Two children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 3 m long, its

1. Two children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 3 m long, its mass is 0.5 kg, and the force exerted on it by the children is 40 N.

(a) What is the linear mass density of the rope?

(b) What is the speed of the waves on the rope?

3. What is the speed of sound in air at the normal boiling temperature of water?

5. A 4-Hz continuous wave travels on a Slinky. If the wavelength is 0.5 m, what is the speed of waves on the Slinky?

7. A wave traveling 80 m/s has a wavelength of 3.2 m. What is the frequency of the wave?

9. Verify the figures given in Section 6.1 for the wavelengths (in air) of the lowest and highest frequencies of sound that people can hear (20 and 20,000 Hz, respectively).

11. The frequency of middle C on the piano is 261.6 Hz.

(a) What is the wavelength of sound with this frequency as it travels in air at room temperature?

(b) What is the wavelength of sound with this frequency in water?

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