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College Algebra | 1st Edition | ISBN: 9781938168383 | Authors: Jay Abramson
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For the following exercises, solve the application problem. The weight of an object

Chapter 5, Problem 47

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QUESTION:

For the following exercises, solve the application problem.

The weight of an object above the surface of the earth varies inversely with the distance from the center of the earth.If a person weighs 150 pounds when he is on the surface of the earth (3,960 miles from center), find the weight of the person if he is 20 miles above the surface.

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QUESTION:

For the following exercises, solve the application problem.

The weight of an object above the surface of the earth varies inversely with the distance from the center of the earth.If a person weighs 150 pounds when he is on the surface of the earth (3,960 miles from center), find the weight of the person if he is 20 miles above the surface.

ANSWER:

Problem 47

For the following exercises, solve the application problem. The weight of an object above the surface of the earth varies inversely with the distance from the center of the earth.If a person weighs 150 pounds when he is on the surface of the earth (3,960 miles from center), find the weight of the person if he is 20 miles above the surface.

                                                            Step by Step Solution

Step 1 of 3

We will write the relationship between the weight of the object and the distance from the center of earth as follows:

Here “F” is the weight of the object(Note that weight of the object is actually the gravitational force applied on the object by the earth.

“d” is the distance of the object from the center of the earth.

Now:

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