Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but a much smaller diameter. If you weigh 660N on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 15.0km? Take the mass of the sun to be = 1.99×10^30kg , the gravitational constant to be G = 6.67×10?11N*m^2/kg^2 , and the acceleration due to gravity at the earth's surface to be g= 9.810m/s^2 .