A pulse traveling along a string of linear mass density u is described by the wave function below, where the factor in brackets before the sine is said to be the amplitude. y = [A, e ¯DX] sin (kx - wt) (a) What is the power P(x) carried by this wave at a point x? (Use any variable or symbol stated above as necessary.) P(x) = (b) What is the power carried by this wave at the origin? (Use any variable or symbol stated above as necessary.) P(0) = (c) Compute the ratio P(x) / P(0). (Use any variable or symbol stated above as necessary.) P(x) P(0)

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 135AP: Consider two periodic wave functions, y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kxt+) . (a) For what values...
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A pulse traveling along a string of linear mass density u is described by the wave function below, where the factor in brackets before the sine is said to be the amplitude.
y = [A, e ¯DX] sin (kx - wt)
(a) What is the power P(x) carried by this wave at a point x? (Use any variable or symbol stated above as necessary.)
P(x) =
(b) What is the power carried by this wave at the origin? (Use any variable or symbol stated above as necessary.)
P(0) =
(c) Compute the ratio P(x) / P(0). (Use any variable or symbol stated above as necessary.)
P(x)
P(0)
Transcribed Image Text:A pulse traveling along a string of linear mass density u is described by the wave function below, where the factor in brackets before the sine is said to be the amplitude. y = [A, e ¯DX] sin (kx - wt) (a) What is the power P(x) carried by this wave at a point x? (Use any variable or symbol stated above as necessary.) P(x) = (b) What is the power carried by this wave at the origin? (Use any variable or symbol stated above as necessary.) P(0) = (c) Compute the ratio P(x) / P(0). (Use any variable or symbol stated above as necessary.) P(x) P(0)
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