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31 December, 20:53

A star ending its life with a mass of four to eight times the Sun's mass is expected to collapse and then undergo a supernova event. In the remnant that is not carried away by the supernova explosion, protons and electrons combine to form a neutron star with approximately twice the mass of the Sun. Such a star can be thought of as a gigantic atomic nucleus. Assume r-aA1/3. If a star of mass 3.88 x 1030 kg is composed entirely of neutrons (mn 1.67 x 1027 kg), what would its radius be?

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  1. 31 December, 21:23
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    r = 16 Km

    Explanation:

    given

    m_n = 1.67 x 10^-27 Kg

    M_star = 3.88 x 10^30 Kg

    A = M_star/m_n

    A = 3.88*10^30/1.67 x 10^-27

    A=2.28 * 10^57 neutrons A = The number of neutrons

    we use the number of neutrons as a mass number because the star has only neutrons. = 1.2 x 10-15 m

    r = r_o*A^1/3

    r = 1.2*10^-15*2.28 * 10^57^1/3

    r = 16 Km
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