Suppose the moon has a radius of r miles and a payload weighs p pounds at the surface of the moon (at a distance of r miles from the center of the moon). when the payload is x miles from the center of the moon (x ≥ r), the force required to overcome the gravitational attraction between the moon and the payload is given by the following relation: required force = f(x) = r2px2 poundsfor example, the amount of work done raising the payload from the surface of the moon (i. e., x = r) to an altitude of r miles above the surface of the moon (i. e., x = 2r) iswork = bf(x) dxa = 2rr2px2 dxr = rp2 mile-poundshow much work would be needed to raise the payload from the surface of the moon (i. e., x = r) to the "end of the universe"? work = mile-pounds