Neutron stars, such as the one at the center of the Crab Nebula, have about the
ID: 1423287 • Letter: N
Question
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 670 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 m_s = 1.99 Times 10^30 kg, the gravitational constant to be G = 6.67 Times 10^-11 N m^2/kg^2, and the acceleration due to gravity at the earth's surface to be g = 9.810 m/s^2. Express your weight w_star in newtons.Explanation / Answer
mg =670N
m=670/9.81= 68.2976 kg
Weight on neutron star = GMm/r2 = 6.67 x 10-11 x 1.99 x 1030 x 68.2976 / 7.52 = 1.61 x 1020 N Answer