A transverse pulse moving on a string is described by the time-dependent wave function f(x,t) = Ae^(-(kx-wt)^2), k = 2 m^-1 and w = 10 s^-1. a) Sketch the shape of the pulse as a function of position for t = 0 s and t = 10 s. b) Sketch the pulse as a function of time for x = 0 m and x = 5 m. c) Show that f(x,t) satisfies the wave equation. d) What is the wave speed of the pulse?
A transverse pulse moving on a string is described by the time-dependent wave function f(x,t) = Ae^(-(kx-wt)^2), k = 2 m^-1 and w = 10 s^-1. a) Sketch the shape of the pulse as a function of position for t = 0 s and t = 10 s. b) Sketch the pulse as a function of time for x = 0 m and x = 5 m. c) Show that f(x,t) satisfies the wave equation. d) What is the wave speed of the pulse?
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A transverse pulse moving on a string is described by the time-dependent wave
function f(x,t) = Ae^(-(kx-wt)^2), k = 2 m^-1 and w = 10 s^-1.
a) Sketch the shape of the pulse as a function of position for t = 0 s and t = 10 s.
b) Sketch the pulse as a function of time for x = 0 m and x = 5 m.
c) Show that f(x,t) satisfies the wave equation.
d) What is the wave speed of the pulse?
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