A pulse traveling along a string of linear mass density ? is described by the wa
ID: 2237998 • Letter: A
Question
A pulse traveling along a string of linear mass density ? is described by the wave function below, where the factor in brackets before the sine is said to be the amplitude. y = [A0 e -bx] sin (kx - ?t) (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)=Explanation / Answer
y = A0 e ?b x sin(k x ? ? t) ,
where A0 = 0.0032 m, b = 0.68 m ?1 , k = 0.57 m ?1 and ? = 44 s ?1 .
What is the power carried by this wave at
the point x = 2.2 m?
Answer in units of W.
Part b
What is the power carried by this wave at the origin?
Answer in units of W.
Part c
Compute the ratio P/P0 .
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