(a) Given that the energy needed to assemble a uniformly charged sphere of radius R and charge Q is U = where k, is the Coulomb constant, determine the energy (in MeV) needed to overcome the Coulomb repulsion of 12 3k,Q²/5R, protons uniformly distributed throughout a sphere the size of a Mg-24 nucleus.
(a) Given that the energy needed to assemble a uniformly charged sphere of radius R and charge Q is U = where k, is the Coulomb constant, determine the energy (in MeV) needed to overcome the Coulomb repulsion of 12 3k,Q²/5R, protons uniformly distributed throughout a sphere the size of a Mg-24 nucleus.
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Transcribed Image Text:(a) Given that the energy needed to assemble a uniformly charged sphere of radius R and charge Q is U = 3k Qʻ/5R,
where k, is the Coulomb constant, determine the energy (in MeV) needed to overcome the Coulomb repulsion of 12
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protons uniformly distributed throughout a sphere the size of a Mg-24 nucleus.
MeV
(b) Determine the binding energy for a Mg-24 nucleus (in MeV). (Let the mass of a proton be 1.0078 u, the mass of a
neutron be 1.0087 u, and the mass of Mg-24 be 23.9850 u.)
MeV
(c) Which of the following is the correct conclusion from the results of parts (a) and (b)?
electrostatic forces are much greater than nuclear forces
nuclear and electrostatic forces are about the same strength
nuclear forces are slightly greater than electrostatic forces
nuclear forces are much greater than electrostatic forces
electrostatic forces are slightly greater than nuclear forces
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