Problem $1$: Calculate the gravitational force between two sumo wrestlers, with masses $220$ kg and $240$ kg $,$ by treating them as point particles, for the two scenarios:

a$)$ when they are embraced and their centers of gravity are $1\mathrm{.}2$ m apart.

b$)$ when they are opposite sides of the mat and are $4\mathrm{.}5$ m apart.