A long rope with a mass per unit length of 0.1 kg/m is under a constant tension

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A long rope with a mass per unit length of 0.1 kg/m is under a constant tension of 10N. A motor at the point x = 0 drives one end of the rope with harmonic motion at 5 oscillations per second and an amplitude of 4 cm.

(a) What is the wave speed?

(b) What is the wavelength?

(c) What is the maximum transverse linear momentum of a 1-mm segment of the rope?

(d) What is the maximum net force on a 1-mm segment of the rope?

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