A dwarf planet, Pluto, orbits around the sun in an elliptical orbit. When Pluto is closest to the

sun, it is $4\mathrm{.}41012$ m away from the sun and moving at $6100$ m$/$s$.$ When Pluto is farthest from

the sun, it is $7\mathrm{.}41012$ m from the sun. Consider only the interactions between Pluto and the

sun, and ignore any other interactions in the universe. The mass of the sun is $2\mathrm{.}01030$ kg$,$

and the mass of Pluto is $1\mathrm{.}31022$ kg