It is known that most of the mass of galaxies is some exotic material that doesn't interact with light or normal matter. let's assume that this "dark matter" is due to a new elementary . like alaska in the winter, alaskonium in the galaxy is cold and dark. we will assume that alaskonium is a fermion and that it is so cold that it is degenerate; a gravitationally bound, nonrelativistic, degenerate gas. take the total mass and radius of the gas to be that of a typical galaxy, m- 1010 solar masses and r- 105 light years. a) what is the rest mass (energy) of the alaskonium particle? give answer in ev. b) what is the fermi energy? c is our assumption that alaskonium is nonrelativistic validated? what are the implications if it is not?