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.

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