Question
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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.

Ask by Goodwin Stewart. in the United States
Jan 21,2025

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Tutor-Verified Answer

Answer

The mass of the small piece is approximately kg.

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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.
  1. Calculate the volume (V) of the sphere:
    where .
  2. Estimate the density (ρ) of a neutron star, which is approximately .
  3. 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.

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