Neutron Star Density: Calculating Mass of a Pebble

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SUMMARY

Neutron stars are composed of solid nuclear matter, primarily neutrons, with a neutron radius estimated at 1.0 x 10-13 cm. The density of a neutron can be calculated using the formula for the volume of a sphere, V = (4/3)πr3, resulting in a density of approximately 3.7 x 1017 g/cm3. Assuming the neutron star maintains this density, the mass of a spherical pebble with a radius of 0.18 mm can be calculated, yielding a mass of approximately 1.2 x 10-5 kg.

PREREQUISITES
  • Understanding of basic physics concepts, particularly density and mass calculations.
  • Familiarity with the formula for the volume of a sphere, V = (4/3)πr3.
  • Knowledge of neutron properties and their significance in astrophysics.
  • Basic mathematical skills for performing calculations involving scientific notation.
NEXT STEPS
  • Research the properties of neutron stars and their formation processes.
  • Learn about the implications of neutron density on stellar evolution.
  • Explore advanced astrophysical calculations involving mass and density.
  • Investigate the role of neutrons in nuclear physics and their applications in technology.
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Astrophysicists, physics students, and anyone interested in the properties of neutron stars and nuclear matter calculations.

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

A. Assume the radius of a neutron to be approximately 1.0*10^-13cm , and calculate the density of a neutron. [Hint: For a sphere V=(4/3)(pie symbol)r^3.]

d=__________g/cm^3

B. 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 pebble with a radius of 0.18 mm.

m=_____kg
 
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