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.Com
Question 1033407: An astronaut r thousand miles from the center of the earth weighs 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(52778)   (Show Source): You can put this solution on YOUR website!
.
An astronaut r thousand miles from the center of the earth weighs 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 = .


RELATED QUESTIONS

The gravitational force, F, between an object and the Earth is inversely proportional to... (answered by ikleyn)
The gravitational force, F, between an object and the Earth is inversely proportional to... (answered by josmiceli,rothauserc)
The gravitational force, F, between an object and the Earth is inversely proportional to... (answered by ikleyn)
The gravitational force, F, between an object and the Earth is inversely proportional to... (answered by robertb,ikleyn)
The weight of an object varies inversely as the square of the​ object's distance from... (answered by ikleyn)
The weight of a body above the surface of the Earth varies inversely as the square of the (answered by vleith)
The weight of an object on or above the surface of Earth varies inversely as the square... (answered by ewatrrr)
The weight of a astronnaut. The weight W of an object varies inversely as the square of... (answered by scott8148)
The weight of a body w varies inversely with the square of its distance from the center... (answered by ikleyn)