Answer to Question #312089 in Astronomy | Astrophysics for prey boss

Question

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

Answer 1

Explanations & Calculations

• Just use the formula that connects density, mass and volume to each other.

$\qquad\qquad \begin{aligned} \small V&=\small \frac{m}{\rho}\\ \small \frac{4}{3}\pi r^3&=\small \frac{m}{\rho}\\ \small r&=\small \Big(\frac{3m}{4\pi \rho}\Big)^{\frac{1}{3}}\\ &=\small 141.8\,m\\ \\ \therefore\\ \small d&=\small 2r=283.6\,m \end{aligned}$