93. Gravity If an imaginary line segment is drawn between the centers of the earth and the moon, then the net gravitational force F acting on an object situated on this line segment is -K 0.012K (239 – x)² where K>0 is a constant and x is the distance of the object from the center of the earth, measured in thousands of miles. How far from the center of the earth is the “dead spot" where no net gravitational force acts upon the object? (Express your answer to the nearest thousand miles.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.4: Solving Quadratic Equations
Problem 93E
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Gravity If an imaginary line segment is drawn between the
centers of the earth and the moon, then the net gravitational
force F acting on an object situated on this line segment is

93. Gravity If an imaginary line segment is drawn between the
centers of the earth and the moon, then the net gravitational
force F acting on an object situated on this line segment is
-K
0.012K
(239 – x)²
where K>0 is a constant and x is the distance of the object
from the center of the earth, measured in thousands of miles.
How far from the center of the earth is the “dead spot" where
no net gravitational force acts upon the object? (Express your
answer to the nearest thousand miles.)
Transcribed Image Text:93. Gravity If an imaginary line segment is drawn between the centers of the earth and the moon, then the net gravitational force F acting on an object situated on this line segment is -K 0.012K (239 – x)² where K>0 is a constant and x is the distance of the object from the center of the earth, measured in thousands of miles. How far from the center of the earth is the “dead spot" where no net gravitational force acts upon the object? (Express your answer to the nearest thousand miles.)
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