SOLUTION: An astronaut r thousand miles from the center of the earth weighs {{{2880/r^2}}} lbs, and the surface of the earth 4000 is miles from the center. (a) If the astronaut is h mi

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: An astronaut r thousand miles from the center of the earth weighs {{{2880/r^2}}} lbs, and the surface of the earth 4000 is miles from the center. (a) If the astronaut is h mi      Log On


   



Question 1033407: An astronaut r thousand miles from the center of the earth weighs 2880%2Fr%5E2 lbs, and the surface of the earth 4000 is miles from the center.
(a) If the astronaut is h miles above the surface of the earth, express r as a function of h.
r=


(b) Express the astronaut's weight w in pounds as a function of h.
w=

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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An astronaut r thousand miles from the center of the earth weighs 2880%2Fr%5E2 lbs, and the surface of the earth 4000 is miles from the center.

(a) If the astronaut is h miles above the surface of the earth, express r as a function of h. 


    r = 4000 + h.


(b) Express the astronaut's weight w in pounds as a function of h.

    w = 2880%2F%284000%2Bh%29%5E2.