Concept explainers
At 45° latitude: the gravitational acceleration as a function of elevation z above sea level is given by
(a)
The height above the sea level where decrease in the object weight is
Answer to Problem 31P
The height above the sea level where decrease in the object weight is
Explanation of Solution
Given Information:
The gravitation constant function is
Write the expression for the weight of the object above sea level.
Since there is a
Write the expression for the gravitational acceleration as a function of elevation.
Here the constant are
Substitute
Since at the sea level the elevation is
Write the expression for the weight of the object.
Here mass of the object is
Substitute
Calculation:
Substitute
Substitute
Conclusion:
The height above the sea level where decrease in the object weight is
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