Question

Neutrons 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.

1) If you weigh 670 N on the Earth, what would be tour weigh on the surface of a newton star that has the same mass as our sun and a diameter of 23.0 km?

Take the mass of the sun to be 1.99*10^30 kg the gravitational constant to be 6.67*10^-11 kg^2 , and the acceleration due to gravity at the earth's surface to be 9.810 m/s^2

Answer 1

W = ?

m = 670

g = ?

radius of Neutron star = 11.5 km = 11,500 meters

We need to find g on the Neutron star, so:

g = GM/r^2

g = 6.67 x 10^-11 x 1.99 x 10^30/11,500^2

g = 1 x 10^12

W = 670 x (1 x 10^12)

W = 6.7 x 10^14 N