# Problem: Neutron stars are believed to be composed of solid nuclear matter, primarily neutrons. Assuming that a neutron star has the same density as a neutron  (density = 4.0×1014 g/cm3), calculate the mass (in kg) of a small piece of a neutron star the size of a spherical pebble with a radius of 0.16 mm .

###### FREE Expert Solution

Recall that density is the ratio of the mass and volume of an object:

$\overline{){\mathbf{density}}{\mathbf{=}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

Also, the volume of a sphere is given by:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{4}}{\mathbf{3}}{{\mathbf{\pi r}}}^{{\mathbf{3}}}}$

V = 1.716 x 10-5 cm3

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###### Problem Details

Neutron stars are believed to be composed of solid nuclear matter, primarily neutrons.

Assuming that a neutron star has the same density as a neutron  (density = 4.0×1014 g/cm3), calculate the mass (in kg) of a small piece of a neutron star the size of a spherical pebble with a radius of 0.16 mm .