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Solved: The weight of bodies may change somewhat from one

Chapter 1, Problem 53P

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QUESTION:

Problem 53P

The weight of bodies may change somewhat from one location to another as a result of the variation of the gravita­tional acceleration g with elevation. Accounting for this varia­tion using the relation in Prob. 1–27, determine the weight of an 110-kg person at sea level (z = 0), in Denver (z = 1610 m), and on the top of Mount Everest (z = 8848 m).

        Problem: At 450 latitude, the gravitational acceleration as a function of elevation z above sea level is given by g = a - bz, whew a = 9.807 m/s2 and b = 3.32 x 10-6s-2. Determine the height above sea level where the weight of an object will decrease by 1 percent.

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QUESTION:

Problem 53P

The weight of bodies may change somewhat from one location to another as a result of the variation of the gravita­tional acceleration g with elevation. Accounting for this varia­tion using the relation in Prob. 1–27, determine the weight of an 110-kg person at sea level (z = 0), in Denver (z = 1610 m), and on the top of Mount Everest (z = 8848 m).

        Problem: At 450 latitude, the gravitational acceleration as a function of elevation z above sea level is given by g = a - bz, whew a = 9.807 m/s2 and b = 3.32 x 10-6s-2. Determine the height above sea level where the weight of an object will decrease by 1 percent.

ANSWER:

Solution

Step 1 of 5

The variation in the acceleration due to gravity (gravitational force) on the different locations on the surface of earth, is due to the change in distance between the earth’s center and the object. Also, due to bulged shape of earth.

This variation accounts for the variation of weights of a body at different locations measured on the surface of earth. In the given problem, we need to estimate such variation.

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