At t = 0, the instantaneous position of two pulses moving along a taut string with a speed v = 25.4 cm/s are as shown in the diagram below. Each unit on the horizontal axis is 5.0 cm and each unit on the vertical axis is 5.0 cm. (The peak of pulse 2 is exactly on a half unit of the horizontal axis.) y pulse 2 pulse 1 (a) At what location will the resultant of the two pulses have maximum amplitude? 14 The amplitude of the resultant will be maximum when the peaks of the two pulses overlap. How far does each pulse move to get to this position? cm (b) At what time will the resultant of the two pulses have maximum amplitude? (c) What is the value of this maximum amplitude? cm

At t = 0, the instantaneous position of two pulses moving along a taut string with a speed v = 25.4 cm/s are as shown in the diagram below. Each unit on the horizontal axis is 5.0 cm and each unit on the vertical axis is 5.0 cm. (The peak of pulse 2 is exactly on a half unit of the horizontal axis.) y pulse 2 pulse 1 (a) At what location will the resultant of the two pulses have maximum amplitude? 14 The amplitude of the resultant will be maximum when the peaks of the two pulses overlap. How far does each pulse move to get to this position? cm (b) At what time will the resultant of the two pulses have maximum amplitude? (c) What is the value of this maximum amplitude? cm

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 2PQ: Two pulses travel in opposite directions along a string. One pulse is traveling to the right. The...

See similar textbooks

Similar questions

Two piano strings are supposed to be vibrating at 220 HzHz , but a piano tuner hears three beats every 3.3 ss when they are played together. By how much (in percent) must the tension be increased or decreased to bring them in tune? Express your answer using two significant figures. If there is more than one answer, enter them in ascending order separated by commas.
The equation of a wave in the international SI system, which propagates on a string, is given by the expression: y(x,t)=0.08cos(2π(2x-4t)) Determine the values of the velocity at the point located 2m from the origin at the instant t=5s.
A wire 26.0 m long and having a mass of 160 g is stretched under a tension of 410 N. If two pulses, separated in time by 60.0 ms, are generated, one at each end of the wire, where will the pulses first meet?
At time t = 0 and at position x = 0 m along a string, a travelingsinusoidal wave with an angular frequency of 440 rad/s has displacementy=+4.5 mm and transverse velocity u=-0.75 m/s. Ifthe wave has the general form y(x, t) + ym sin(kx - vt + f), whatis phase constant f?
If a wave has a period of 8 s, and a phase angle of 180 degrees, will it be at a peak, trough, or on the X-axis 6 seconds after it is emitted? (assume Sin is our base function, so with a phase angle of 0 degrees the wave would be starting on the X-axis)
Two waves, y1(t) and y2(t), have identical amplitudes and oscillate at the same frequency, but y2(t) leads y1(t) by a phase angle of 60◦. If y1(t) = 4 cos(2π × 103t), write the expression appropriate for y2(t) and plot both functions over the time span from 0 to 2 ms.
Two strings are attached between two poles separated by a distance of 2.00 meters as shown in the preceding figure, both strings have a linear density of 1=0.0025 kg/m, the tension in string 1 is 600.00 N and the tension in string 2 is 700.00 N. Transverse wave pulses are generated simultaneously at opposite ends of the strings. How much time passes before the pulses pass one another?
Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x+3s1t+3) and y2(x,t)=0.6msin(8m1x6s1t) . What is the height of the resultant wave formed by the interference of the two waves at the position x=1.0 m at time t=3.0 s?
A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.
Two pulses travel in opposite directions along a string. One pulse is traveling to the right. The other pulse is inverted, with half the width and twice the amplitude of the first pulse, moving to the left as shown in Figure P18.2. Sketch the shape of the string at the moment in time when the centers of each pulse are at the same location. FIGURE P18.2
Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x3s1t) and y2(x,t)=0.3msin(4m1x+3s1t) . What is the wave function of the resulting wave? [Hint: Use the trig identity sin(uv)=sinucosvcosusinv
A steel wire of length 30.0 m and a copper wire of length 20.0 m, both with 1.00-mm diameters, are connected end to end and stretched to a tension of 150 N. During what time interval will a transverse wave travel the entire length of the two wires?