1) A square energy pulse traveling to the right with a speed v-2 m/s is given by the equation: f(...
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 string is y = (0.11 m)sin[(0.78 rad/m)x - (14 rad/s)t] (a) What is the displacement y at x = 2.6 m, t = 0.27 s? A second wave is to be added to the first wave to produce standing waves on the string. If the wave equation for the second wave is of the form y(x,t) = ymsin(kx + ωt), what are (b) ym, (c) k, and (d) ω (e) the...
The equation of a transverse wave traveling along a string is y = (0.21 m)sin[(0.71 rad/m)x - (13 rad/s)t] (a) What is the displacement y at x = 3.5 m, t = 0.14 s? A second wave is to be added to the first wave to produce standing waves on the string. If the wave equation for the second wave is of the form y(x,t) = ymsin(kx + ωt), what are (b) ym, (c) k, and (d) ω (e) the...
The equation of a transverse wave traveling along a string is y (0.24 m)sin[(0.87 rad/m)x (14 rad/s)t] (a) what is the displacement y at x ? 3.5 m, t 0.17 s? A second wave is to be added to the first wave to produce standing waves on the string. If the wave equation for the second wave is of the form y(x,t)-ymsin(kx + at), what are (b) ym, (c) k, and (d) ? (e) the correct choice of sign in...
(m/s) A car is traveling to the right. The equation of velocity of the car is given as V=25t+21 Show the formulas and How you find your answer. Find the following a) Acceleration of the car. b) Initial velocity c) Equation of the position as a function of time d) What are the position, velocity, and acceleration at 1 =1.0 S. e) What it initial positon of the car? f) At what time velocity of the car is zero? g)...
F(x)=2/(x^4+1). Write the equation y(x,t) for a wave traveling in the -x direction with velocity v=20 m/sec and pulse shape f(x)
A sinusoidal wave is traveling on a string with speed 28.0 cm/s. The displacement of the particles of the string at x = 8.3 cm is found to vary with time according to the equation y = (1.3 cm) sin[1.6 - (5.4 s-1)t]. The linear density of the string is 6.4 g/cm. What are (a) the frequency and (b) the wavelength of the wave? If the wave equation is of the form y(x,t) = ym sin(kx - ωt), what are...
1. A 3-kg ball traveling to the right with a speed of 6 m/s collides with a 5-kg ball traveling to the left with a speed of 6 m/s. What is the total momentum of the two balls after they collide? a. 13 kg"m/s to the right b. none of the mentioned c. 3 kg"m/s to the right d. 0 kg"m/s e. 12 kg"m/s to the left 2. Which of the following will cause the largest change in the momentum...
Two waves, yı = (2.9 mm) sin [(22.1 rad /m)x – (540 rad/s)t] and y2 = (1.3 mm) sin [(22.1 rad /m)x + (540 rad /s)] travel along a stretched string. (a) Find the resultant wave y = y1+ y2 as a function of t for x = 0 and 1/2 where is the wavelength. Omit units. (b) The resultant wave is the superposition of a standing wave and a traveling wave. In which direction does the traveling wave move?...
Question 1: As you work through the parts of this question you are going to show that the Maxwell equations naturally contain electromagnetic waves. In a region of space that is void of all charges and currents, p=0 and J = 0 the Maxwell equations come out to be: Y E = 0 7.B=0 7 x Ē = -1 1 x B = Poco a) Using the same idea as I did in the lecture, derive the Wave Equation for...