W (r) = (R+x)²' where Wo is the person's weight (in Ibs) at sea level (i.e. r = 0) and R is the earth's radius (in feet). (a) Determine the differential dW. (b) Suppose that a person weighing Wo = 200 lbs at sea level is flying in a commercial airplane at 52250 ft above sea level. If the earth's radius is R= 20900 000 ft, use the differential in part (a) to approximate their change in weight. Interpret your result.
W (r) = (R+x)²' where Wo is the person's weight (in Ibs) at sea level (i.e. r = 0) and R is the earth's radius (in feet). (a) Determine the differential dW. (b) Suppose that a person weighing Wo = 200 lbs at sea level is flying in a commercial airplane at 52250 ft above sea level. If the earth's radius is R= 20900 000 ft, use the differential in part (a) to approximate their change in weight. Interpret your result.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Newton’s theory of gravitation states that the weight of a person x feet above sea level is given by:
Transcribed Image Text:W (x) =
(R+x)²'
where Wo is the person's weight (in Ibs) at sea level (i.e. r = 0) and R is the earth's radius (in feet).
(a) Determine the differential dW.
(b) Suppose that a person weighing Wo = 200 lbs at sea level is flying in a commercial airplane at 52250 ft above sea
level. If the earth's radius is R= 20900 000 ft, use the differential in part (a) to approximate their change in weight.
Interpret your result.
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