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4. [5pt] A Lorentzian wave pulse is described by Suppose A- 3.0 cm,y5.0 cm, and v...
4. [5pt] A Lorentzian wave pulse is described by y(x,t) = Aγ²/((x−vt)²+γ²) . Suppose A = 3.0 cm, γ = 5.0 cm, and v = 4.0 m/s. a) Plot the function for t = 0.55 s. b) What is the speed of the particle at x = 2.00 m and t = 0.55 s? [ans. -0.19 cm/s] Question to be Graded Manually.
4. [5pt] A Lorentzian wave pulse is described by y(x,t) = Aγ²/((x−vt)²+γ²) . Suppose A = 3.0 cm, γ = 5.0 cm, and v = 4.0 cm/s. a) Plot the function for t = 0.55 s. b) What is the speed of the particle at x = 2.00 cm and t = 0.55 s? [ans. -0.19 cm/s]
5. [5pt] A fly impacts a spider's web and creates a wave pulse that alerts the spider to its presence. The fly impacts the web at point a, with the spider waiting at point c, as shown below. The distance between points a and b is 3.00 cm, the distance between b and c is 10.00 cm, and the distance between d and e is 11.80 cm. The linear mass density of the web is u 9.18106 g/m and the...
The position of a particle is described by the function x = 3.0 t2 + 5.0 t + 3.0 (m). Determine the average velocity (in m / s) for the time interval t1 = 2.0 s and t2 = 4.0 s.
A traveling wave is described by the equation: TT y(x, t) = (0.35 cm) sin ( 3173 107t + 4 Find: a. the wavelength of the wave; b. the period of the wave; c. the speed and direction of travel of the wave; Now consider the particle at x = 10 cm. d. Find the vertical displacement of the particle t = 0. e. Find the maximum transverse speed and acceleration of the particle. If the oscillator that is generating...
Find the phase speed v for the wave whose snapshot and history
graphs are given below. Show your calculations for the wave crest.
[ans. -1.5 m/s]
Please show work :)
5. [5pt Find the phase speed v for the wave whose snapshot and history graphs are given below. Show your calculations for the wave crest. [ans. -1.5 m/s] 3-1 211 t = 8 0 1 2 3 5 6 78 9 10 11 12 X (m) 2x7 m -3 0...
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 4 cm. The wave equation is to be in the form of y = ym sin(kx - ωt + φ). (a) At t = 0, is a...
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...
1. [1pt]
Consider a Gaussian wave pulse with amplitude 1 cm travelling on a
4 m long string with two free ends, as shown. If the wave travels
at 1 m/s, then what is the displacement y at x = 0 m and t = 6 s?
Make sure you can explain your reasoning in terms of the physics of
wave reflections and superposition.
1)
y (cm) -1
A sound wave traveling through water can be described by the following wave function: (x, t) = A cos (kx - omega t + pi/3) A = 0.040 m k = 1.11 rad/m omega = 1646.195 rad/s rho_water = 1.0 times 10^3 kg/m^3 a) What is the wavelength of this wave? What is the period of this wave? b) What is the amplitude of this wave? What is the phase of the wave when t = 3.0 s and x...