1 Calculate the density of a white dwarf star of 1 solar mass that has a radius of 104 kilometers.2 Calculate the escape velocity from a white dwarf and a neutron star. Assume that each is 1 solar mass. Let the white dwarf's radius be 104 kilometers and the neutron star's radius be 10 kilometers.3 Calculate the Schwarzschild radius of the Sun.4 Calculate your Schwarzschild radius. How does that compare to the size of an atom? How does it compare to the size of a proton?5 The mass of a neutron is about 1.7 x 10-27 kg. Suppose the mass of a neutron star is about 3.4 x 1030 kg. How many neutrons does such a star contain?6 The volume of a neutron is about 10-45 cubic meters. Suppose you packed the number of neutrons you found for problem 5 (above) into a cube so that the neutrons touched edge to edge. How big would the volume of the cube be? How big across would the cube be? Hint: The volume of a cube of side L is L3 . How does the cube's size compare to the size of a neutron star? What can you conclude about the spacing of neutrons in a neutron star?