3. (20 points, 10 points per part) Suppose the Sun's core completes one rotation exactly once per week, has a radius of 1.70*103 meters, and a mass of 610* 1029 kg. m approximately 5 billion years, the Sun's core will collapse to form a white dwarf {a} If the radius of the collapsed core is 637*105 meters, what is the rotation rate in Hertz of the newly formed white dwarf? You may assume that the core's mass remains constant. (b) Is the rotational kinetic energy of the Sun's core conserved before and after its collapse? If not, explain why not in terms of physics concepts.|