1. The problem statement, all variables and given/known data 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 650 N 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 15.0 km ? Take the mass of the sun to be = 1.99×1030 kg , the gravitational constant to be G = 6.67×10−11 , and the acceleration due to gravity at the earth's surface to be g = 9.810 . Express your weight W_star in newtons. 2. Relevant equations F = GMm/r^2 3. The attempt at a solution mg = w mg = 650 m = 650/g = 650 / 9.810 = mass of you F = GMm/r^2 ma = GMm/r^2 a = GM/r^2 = acceleration in the neutron star. F = ma; = Mass of you * acceleration in neutron star where acceleration in neutron star = [ 6.67 * 10^-11 * 1.99 * 10^30 ] / r^2--(or D/2)^2 = 6.67 * 10^-11 * 1.99*10^30 / 7500^2 ~ 3.527 x 10^12 so w = mg = 650/9.81 * (3.527 * 10^12) is this right, can you check my calculation?