(Solved): 2. (23.87) The nucleus of a Uranium-236 can be regarded as a uniformly charge ...

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2. (23.87) The nucleus of a Uranium-236 can be regarded as a uniformly charged sphere of $$Q=+92\mathrm{e}$$ and radius $$7.4\times 10^{?15}\mathrm{m}$$. In nuclear fission, this can divide into two smaller nuclei, each with half the charge and half the volume of the original nucleus. This is one of the reactions that occurred in the nuclear weapon that exploded over Hiroshima. a. Find the radius of the two daughter nuclei of charge $$+46\mathrm{e}$$. b. In a simple model for the fission process, the daughter nuclei are at rest and just touching, as shown below. Calculate the kinetic energy that each of the daughter nuclei will have when they are very far apart, c. In this model the sum of the kinetic energies of the two daughter nuclei, calculated in part (b), is the energy released by the fission of one Uranium236 nucleus. Calculate the energy released by the fission of $$10\mathrm{kg}$$ of Uranium-236. The mass of a Uranium-236 atom is 236 times $$1.66\times 10^{?24}\mathrm{kg}$$. d. In terms of this model, discuss why an atomic bomb could just as well be called an "electric bomb".