To find the weight on the surface of the neutron star, we can use the formula for gravitational force:
F = (G * M1 * M2) / r^2
where:
F is the gravitational force,
G is the gravitational constant,
M1 and M2 are the masses of the two objects,
r is the distance between the centers of the two objects.
In this case, we want to find the weight on the surface of the neutron star, so M1 will be the mass of the neutron star, M2 will be your mass, and r will be the radius of the neutron star (which is half the diameter).
First, let's calculate the mass of the neutron star using the mass of the sun:
Mass of the neutron star = Mass of the Sun = 1.99×10^30 kg
Next, let's calculate the radius of the neutron star:
Radius of the neutron star = Diameter / 2 = 19.0 km / 2 = 9.5 km = 9.5 * 10^3 m
Now, let's substitute these values into the formula to find the gravitational force on the surface of the neutron star:
F = (G * M1 * M2) / r^2
F = (6.67×10^-11 N m^2/kg^2 * 1.99×10^30 kg * 665N) / (9.5 * 10^3 m)^2
Calculating this equation will give us the weight on the surface of the neutron star.