How Much Would You Weigh on a Neutron Star?

[MissKaylaPaige]

Homework Statement

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 675 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 16.0 km?


Take the mass of the sun to be = 1.99×1030kg , the gravitational constant to be G= 6.67×10−11 , and the acceleration due to gravity at the Earth's surface to be g = 9.81

Homework Equations

mg=(Gmm_E)/(R_E)^2

I think??

The Attempt at a Solution

well I have not attempted it because the equation I have doesn't make sense when you include R_E^2 so I am unsure of the proper formulas??

 

[Edward G]

You need to change the M_e to M_n, the mass of the neutron star, and R_e to R_n, the radius of the neutron star. Everything should then work out fine.