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.?

Question

If you weigh 690 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 ms = 1.99×1030 kg , the gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , and the acceleration due to gravity at the earth's surface to be g = 9.810 m/s2 .

Express your weight Wstar in newtons.

Answer 1

g on sun = Ms*G/rs^2 = 2*10^30*6,67*10^-11/(6.96*10^8)^2 = 275.4 m/sec^2

g' on neutrons star = g*(6.96*10^5/15)^2 = 2.75*10^2*2.15*10^9 = 5.91*10^11 m/sec^2

weight = 690*5.91*10^11/9.8 = 4.16*10^13 N

Answer 2

F = mg

m = F/g = 690/9.810 = use a calculator ... = m1

F = G(m1)(m2)/r^2

F = [6.67x10^-11](m1)(1.99×10^30)/(15000^2) <<< use a calculator

... this force is your weight on the neutron star

Answer 3

F = G*m1*m2/r^2



You can use F = mg on earth to find out the mass m of the person.