## 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

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) = R2P x2 pounds For 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) is work = b f(x) dx a = 2R R2P x2 dx R = RP 2 mile-pounds How 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

## Answers ( )

Answer:Step-by-step explanation:End of the universe i.e infinity(∞)

So, the work needed to raise the payload from the surface of the moon(i.e x = R) to the end of the universe (i.e x = ∞) is given by:

where R= radius of moon; P= weight of payload are constant