Rotating Nucleus
According to a crude model, the 7Li nucleus is auniform solid sphere of mass 1.16×10-26kg andradius 2.30×10-15m which spins about itsdiameter. The angular momentum of this spinning lithium nucleus is1.58×10-34J ·s. According to thismodel, what is the angular velocity of the lithium nucleus?
6.44×1021 rad/s
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What is the linear velocity of a point on its equator? (Aside:Compare your result to the speed of light, c =3.00×108m/s)
1.48×107 m/s
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What is the rotational kinetic energy?
5.09×10-13 J
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What is the ratio of the rotational kinetic energy to therelativistic rest-mass energy? (Note: The relativistic rest-massenergy of any particle is given by Einstein's famous equationE = m ·c2, where c =2.9979×108m/s is the speed oflight.)