Weight Universal

It follows from Newtons Law of Universal Gravitation that the weight W of an object (relative to earth) is?

Inversely proportional to te square of te distance x between the object and the center of the earth, that is, W=C/x2. (a) assuming that a weather satellite weighs 2000 pounds on the surface of the earth and that the earth is a sphere of radius 4000 miles, find the constant C.
(b) find the weight of the satellite when it is 1000 miles above the surface of the earth.
Thanks!! It asks me to graph the satellites weight versus it’s distance from the center of the earth. Any help on how to do that would be great!

    Weight = C ⁄ x²
  2000 lbs = C ⁄ (4000 mi)²  …  weight on the earth’s surface
      C = 3.2 ×10^(10) lbs • mi²

    Weight = [ 3.2 ×10^(10) ] ⁄ x²
    Weight = [ 3.2 ×10^(10) ] ⁄ (4000 + 1000)²
    Weight = 1280 lbs

 BUT a satellite orbiting the earth has an apparent weight that is less due to the
         centripetal force acting on it.

Animal Cuts by Universal Nutrition – Breakdown (EXTREME Weight Loss)

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