31. Find a resultant wave for the two waves shown in Figure P11.31 at the instant they are traveling through the same medium. FIGURE P11.31 AP (N/m²) AP (N/m²) 0.002 f=200 Hz 0.001 А

A copper wire has a density of =8920 kg/m3, a radius of 1.20 mm, and a length L. The wire is held under a tension of 10.00 N. Transverse waves are sent down the wire. (a) What is the linear mass density of the wire? (b) What is the speed of the waves through the wire?

A wave is described by y = 0.020 0 sin (kx - t), where k = 2.11 rad/m, = 3.62 rad/s, x and y are in meters, and t is in seconds. Determine (a) (he amplitude, (b) the wavelength, (c) the frequency, and (d) the speed of the wave.

(a) At an air show a jet flies directly toward the stands at a speed of 1200 km/h, emitting a frequency of 3500 Hz, on a day when the speed of sound is 342 m/s. What frequency is received by the observers? (b) What frequency do they receive as the plane flies directly away from them?

(a) What is the speed of sound in a medium where a 100-kHz frequency produces a 5.96-cm wavelength? (b) Which substance in Table 17.1 is this likely to be?

An airplane moves at Mach 1.2 and produces a shock wave. (a) What is the speed of the plane in meters per second? (b) What is the angle that the shock wave moves?

A string on the violin has a length of 23.00 cm and a mass of 0.900 grams. The tension in the string 850.00 N. The temperature in the room is TC=24.00C . The string is plucked and oscillates in the n=9 mode. (a) What is the speed of the wave on the string? (b) What is the wavelength of the sounding wave produced? (c) What is the frequency of the oscillating string? (d) What is the frequency of the sound produced? (e) What is the wavelength of the sound produced?

A sound wave traveling in air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?

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 excited 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?