HELP PLEASE Spherical Sound Waves Problem

AI Thread Summary
The discussion focuses on a physics problem involving sound waves emitted by a jackhammer, modeled as a point source. The construction supervisor starts 63.5 meters north of the jackhammer and walks west, seeking to determine the distance required for the sound amplitude to decrease by a factor of 2.10. The relationship between amplitude and distance is highlighted, indicating that amplitude decreases with distance according to the formula A_0/r. The participants express confusion about applying the given relationships and numbers, particularly in deriving the necessary distance walked. The problem requires solving for the distance using the established amplitude-distance relationship.
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A jackhammer, operated continuously at a construction site, behaves as a point source of spherical sound waves. A construction supervisor stands 63.5 m due north of this sound source and begins to walk due west. How far does she have to walk in order for the amplitude of the wave function to drop by a factor of 2.10?

Could someone point me in the right direction on solving this please?
 
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i hope i right

take origin as place where jackhammer is
y_0 is where supervisor at the beggining.
you know that amplidute falls with the distance as \frac{A_0}{r}

assume that supervisor walks in positive x direction distance s
 
ok...but I'm still confused about what to do with these relationships and the numbers given in the problem
 
\frac{A_0}{r}=2.1
=>r=\frac{A_0}{2.1}

finaly

y_0^2+x^2=r^2=(\frac{A_0}{2.1})^2
 
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