Answered: 1-81 On the surface of the earth the…

1-81 On the surface of the earth the weight of a body is 200 lb. At what distance from the center of the earth would the weight of the body be 50 lb?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

1-81 On the surface of the earth the weight of a body is
200 lb. At what distance from the center of the earth would
the weight of the body be
50 lb?

Expert Solution

Step 1

Given:

Weight of the body at the surface, W=200 lb=90.7185 kg

Weight of the body at the d, W'=50 lb=22.6796 kg

The radius of the Earth, R_E = 6371 km

The variation of the gravity with respect to the depth of the Earth is given as,

$g' = g (1 - \frac{d}{R})$

Step by step

Solved in 2 steps

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