Neutron stars, such as the one at the center of the Crab Nebula, have about the
ID: 1617018 • 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 685 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 25.0 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 middot m^2/kg^2, and the acceleration due to gravity at the earth's surface to be g = 9.810 m/s^2. " 21491513,Given F(x) = -1/x - 2 and g(x) = 2/x + 1Explanation / Answer
The RADIUS of the neutron star is R = 12.5 km = 12.5E3 m:
m = 685/g = 69.827 kg
Wn = G*M*m/R² = (6.67×1011Nm2/kg2 * 1.99×1030kg * 69.827 kg) / (12.5x103 m)2 = 5.93×1013 N