Uranium-238 is radioactive. A uranium nucleus (mass 238 u, charge 92e) at rest decays by emitting an alpha particle (a helium nucleus with mass 4 amu and charge 2e), leaving behind a smaller "daughter" nucleus. This process can by modeled in the following way: the original uranium nucleus is a 7.4 fm radius uniformly charged sphere. Two protons and two neutrons "pinch off" to form the alpha particle, which is initially at rest and immediately adjacent to the remaining nucleus (the daughter). You can assume that at this moment their (center-to-center) separation is 7.4 fm. These two positively charged particles will then repel, "emitting" the alpha.1 (a) What is the mass and charge of the daughter nucleus? What is the name of this chemical element? (b) What is the total electrostatic potential energy of the alpha and daughter right after forming? (c) Find the speed of the daughter and the alpha after they have moved far apart. [Hint: use conservation laws.]