Astar with the same mass and diameter as our sun rotates about a central axis with a period of 28.8 days. suppose that this star runs out of nuclear fuel and collapses to form a white dwarf star with a diameter equal to that of the earth. assume the star acts like a solid sphere, that there is no loss of mass in the process, and that the star has no external torques acting on it. as gravity causes the star to contract, gravitational potential energy is converted to rotational kinetic energy, so kinetic energy is not conserved. the radius of the sun is 6.96×108 m, and the radius of the earth is 6.37×106 m. (a) what would be the rotation period of the new white dwarf