SOLUTION: Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the obje

Question 139782: Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular the weight of an object follows this equation: w=cr^-2, where C is a constant, and r is the distance that the object is from the center of the earth. Use 1 mile = 5,280 feet.
Question: Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular the weight of an object follows this equation: w=cr^-2, where C is a constant, and r is the distance that the object is from the center of the earth. Use 1 mile = 5,280 feet.
:
Question: Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.
:
Using the given equation w = c*r^-2, substitute 100 for w and 3,963 for r, find c:
:
c * 3963^-2: = 100
:
Same as
c = 100
:
c = 100 * 3963^2
:
c = 1.57(10^9)
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