A sound source is located somewhere along the x-axis. Experiments show that the same wave front simultaneously reaches listeners at x = - 7.0 m and x = + 3.0 m. part a) What is the x-coordinate of the source? part b) A third listener is positioned along the positive y-axis. What is her y-coordinate if the same wave front reaches her at the same instant it does the first two listeners?

Question

Andrews

Physics

3 October, 10:38

A sound source is located somewhere along the x-axis. Experiments show that the same wave front simultaneously reaches listeners at x = - 7.0 m and x = + 3.0 m. part a) What is the x-coordinate of the source? part b) A third listener is positioned along the positive y-axis. What is her y-coordinate if the same wave front reaches her at the same instant it does the first two listeners?

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Cara · Answer 1

As the source is situated on x - axis, it must be situated in between the two listeners.

So the x coordinate of source is

(-7 + 3) / 2

= - 2 m

The equation of the wave - front will be that o a circle having centre at (-2,0)

and radius = distance between - 2 and 3, that is 5 m

equation of circle

= (x+2) ² + y² = 25

It cuts y axis when x = 0

Putting x = 0

4 + y² = 25

y² = 21

y = + √21, or - √21