Answer to Question #320234 in Astronomy | Astrophysics for pop

Question

Neutron stars are some of the densest objects in the universe. They form during supernova explosions and are very small compared to other astronomical objects. You can assume 5 x 1017 kg/m3 as the average density of a neutron star. The Earth has a total mass of about 5.97 x 1024 kg. What would be the diameter of the Earth if it had the density of a neutron star?

Answer 1

$d=\sqrt[3]{\frac{6m}{\pi d}}=0.28~km.$