Neutron stars are believed to be composed of solid nuclear mather, primarily neutrons. Correct Part 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 wh a radius of 0.14 mm . Express your answer using two significant figures. \( \sqrt{0} \) Az ? \( x^{3} \) \( x_{b} \) \( \frac{4}{b} \) \( \sqrt{x} \) \( \sqrt[3]{x} \) \( \bar{x} \) \( \hat{x} \) (0) \( x \cdot 10^{n} \)
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The Deep Dive
Neutron stars are indeed fascinating! They are remnants of massive stars that have undergone supernova explosions, leading to the collapse of the core. During this process, protons and electrons combine to form neutrons, creating an incredibly dense and compact object. The density of neutron stars can reach more than a billion tons per teaspoon! For your calculation, let’s assume the density of a neutron star is roughly \(4 \times 10^{17} \, \text{kg/m}^3\). To find the mass of a pebble-sized piece (0.14 mm radius), first convert the radius to meters (0.14 mm = 0.00014 m). The volume \(V\) of a sphere is calculated using \(V = \frac{4}{3} \pi r^3\). You can then multiply the volume by the density to find the mass. Don't forget to express your answer using two significant figures!