1). Correct option: neither i nor ii.
2). Correct option: y= f(x-vot)
3). Following the formula:
Correct option: The speed of the wave increases.
Which of the following about a wave pulse traveling down a long spring is true? i....
1) A square energy pulse traveling to the right with a speed v-2 m/s is given by the equation: f(x,t)-E if Ix-vtl<a f(x,t)-0 if lx-vtla where E is an energy constant and a a length constant. i) Plot this pulse as a funtion of x at t-0. ii) Plot this pulse as a function of x at t-4 s. iii) Expand this pulse as an infinite superposition of harmonic traveling waves of the type cos(ot-kx) where co/k-v.
1) A square...
Waves
The figure shows a 2em-wide (non-dispersive) wave pulse traveling to the right with speed 2cm/s. At the instant shown the pulse's peak is at x-2em. At this instant, are any segments of the string moving to the right? (Convince yourself no!!) Which segments of the string are moving up? Which are moving down? Is there any segment of the string (beside the flat sections) that is momentarily at rest? 1) v 2 cm/s X (in em) Hint: Sketch the...
The equation of a transverse wave traveling along a very long string is y = 3.96 sin(0.0444πx+ 7.89πt), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 1.05 cm when t = 0.843 s?
The equation of a transverse wave traveling along a very long string is given by y = 6.1 sin(0.018πx + 3.1πt), where x and y are expressed in centimeters and t is in seconds. Determine the following values. (a) the amplitude cm (b) the wavelength cm (c) the frequency Hz (d) the speed cm/s (e) the direction of propagation of the wave +x−x +y−y (f) the maximum transverse speed of a particle in the string cm/s (g) the transverse displacement at...
6. (20 pts.) A wave traveling along a string stretched along an x-axis has the form y(x, t) = (10 mm) sin(107x – 5nt). (a) What direction is the wave traveling (to the left or right)? (d) What is the wave's frequency, wavelength and speed? (e) What is the minimum, finite length the string must have in order to have standing waves, in it, with this waveform bouncing back and forth along x? (f) If the string has that length,...
(8110 The wave function for a traveling wave on a taut string is in SI units) y(x,t) = 0.400 sin 8tt - 57x + 4) (a) What are the speed and direction of travel of the wave? speed 8/5 m/s direction positive x-direction (b) What is the vertical position of an element of the string at t = 0, x = 0.138 m? X Your response differs significantly from the correct answer. Rework your solution from the beginning and check...
The equation of a transverse wave traveling along a very long string is y = 6.28 sin(0.0223πx+ 3.63πt), where x and yare expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 4.95 cm when t = 0.876 s?
Chapter 16, Problem 010 The equation of a transverse wave traveling along a very long string is y 6.77 sin(0.0229x 4.31t), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) what is the transverse displacement at x = 2.50 cm when t...
t = 0 ms (a) (4 marks) A sinusoidal wave moving along a string is shown twice in the figure at time t = 0 (top) and time t = 4t (bottom). After At = 4.0 ms, the crest travels d=6.0 cm in the positive x direction. The equation for the wave is in the form 8 mm H HHHx y(x, t) =Ym sin(kx = wt). t = 4 ms What are (i) ym, (ii)k, (iii) w, and (iv) the...
15 marks) ) A rectangular wave pulse is traveling to the right on a string as shown in gure If the string-2 is twice as heavy (per unit length) as string-1, and the knot joining them is massless, then calculate the length and height 151 of the reflected aud transmitted waves, and show the on the figure 5 cm Knot String-2 String-1 2 cm ) The eleetrie feld of a plane monochromatic electromagnetie wave going in free space is given...