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At the end of its life (in about 5 billion years, when it has used up all its fu

ID: 2032563 • Letter: A

Question

At the end of its life (in about 5 billion years, when it has used up all its fuel), the sun will red g and very our sun has about half the original mass of the star, but a radius that is a 100 times smaller iant (and swallow he earth) and then explode as a supernova. At the end of this process, a small dense remnant called a white dwarf will remain. A typical white dwarf produced by a star like Cons ider a model of supernova explosion in which the sun is a uniform sphere, and so is the white dwarf. All the matter in the sun at r

Explanation / Answer

Moment of inertia = 2/5 MR^2

where M = mass ,R = radius

MOI = 2/5 * 2*10^30 * (7*10^8)^2

= 3.92*10^47 kg-m^2

RotationalKE = 0.5Iw^2

= 0.5*(3.92*10^47)*(2pi/30*24*60*60)^2

= 1.15*10^36 J

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