Answer to Question #315879 in Astronomy | Astrophysics for Siam

Question

Neutron stars are some of the densest objects in the universe. They form during supernova ex-

plosions and are very small compared to other astronomical objects. You can assume 5 x 10^17

kg/m3 as the average density of a neutron star. The Earth has a total mass of about 5.97 x 10^24 kg.

What would be the diameter of the Earth if it had the density of a neutron star?

Please answer with explanation.

Answer 1

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