At the end of its life, a star with a mass of two times the Sun’s mass is expected to collapse, combining its protons and electrons to form a neutron star. Such a star could be thought of as a gigantic atomic nucleus. If a star of mass 2 x 1.99 x 1030 kg collapsed into neutrons (mn = 1.67 x 10-27 kg), what would its radius be? Assume r = r0 A1/3.

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Asked Dec 30, 2019
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At the end of its life, a star with a mass of two times the Sun’s mass is expected to collapse, combining its protons and electrons to form a neutron star. Such a star could be thought of as a gigantic atomic nucleus. If a star of mass 2 x 1.99 x 1030 kg collapsed into neutrons (mn = 1.67 x 10-27 kg), what would its radius be? Assume r = r0 A1/3.

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Expert Answer

Step 1

Let the mass of the star be denoted by m.

Let the mass of the sun be denoted by ms

The mass number A of the assumed gigantic nucleus is expressed as,

 

Physics homework question answer, step 1, image 1
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Step 2

Substitute 1.99×1030 kg for ms , 1.67×10-27 kg for mn  and solve for A as,

 

Physics homework question answer, step 2, image 1
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Step 3

Calculate the radius r of the atomic nucleus...

Physics homework question answer, step 3, image 1
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