Neutron stars can have a mass on the order of (10^{30} mathrm{~kg}), but they have relatively small

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Neutron stars can have a mass on the order of \(10^{30} \mathrm{~kg}\), but they have relatively small radii, on the order of tens of kilometers.

(a) What order of magnitude is the mass density of a neutron star?

(b) How many orders of magnitude larger is this than the mass density of Earth? Of water?

(c) If water had the mass density of a neutron star, what order of magnitude of mass would be contained in the soda in a full 2-L bottle?

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