Concept explainers
To find: The distance between the spark and the kidney stone.
Answer to Problem 57E
The distance between the spark and kidney stone is
Explanation of Solution
Given information:
A lithotripter machine uses an elliptical reflector to break up kidney stones nonsurgically. A spark plug in the reflector generates energy waves at one focus of an ellipse. The reflector directs these waves towards the kidney stone positioned at the other focus of the ellipse with enough energy to break up the stone as shown in the figure. The lengths of the major and minor axes of the ellipse are
Calculation:
As given, The lengths of the major and minor axes of the ellipse are
Use the formula for length of the major axis.
So, the value of
Similarly Use the formula for length of the minor axis.
So, the value of
Use the formula.
As per the formula the distance between the two foci is
So, the distance between the spark and kidney stone is
Therefore, the distance between the spark and kidney stone is
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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