Question
Neutron stars are believed to be composed of solid nuclear
matter, primarly neutrons.
Assuming that a neutron star has the same density as a neutron, calculate the mass (in kg ) of a small piece of a neutron star the size of a spherical pebib
with a radius of 0.14 mm .
Express your answer using two significant figures.
matter, primarly neutrons.
Assuming that a neutron star has the same density as a neutron, calculate the mass (in kg ) of a small piece of a neutron star the size of a spherical pebib
with a radius of 0.14 mm .
Express your answer using two significant figures.
Ask by Goodwin Stewart. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The mass of the small piece is approximately
kg.
Solution

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The Deep Dive
To calculate the mass of a small piece of a neutron star the size of a spherical pebble with a radius of 0.14 mm, we can use the formula for the volume of a sphere and the density of nuclear matter.
-
Calculate the volume (V) of the sphere:where
. -
Estimate the density (ρ) of a neutron star, which is approximately
. -
Calculate the mass (m) using the formula
:
So, the mass of a small piece of a neutron star the size of a spherical pebble with a radius of 0.14 mm is approximately 4.6 kg.