(II) The liquid-drop model of the nucleus suggests that high-energy oscillations of certain nuclei can split (“fission”) a large nucleus into two unequal fragments plus a few neutrons. Using this model, consider the ease of a uranium nucleus fissioning into two spherical fragments, one with a charge q 1 = +38 e and radius r 1 = 5.5 × 10 -15 m, the other with q 2 = +54 e and r 2 = 6.2 × 10 -15 m. Calculate the electric potential energy (MeV) of these fragments, assuming that the charge is uniformly distributed throughout the volume of each spherical nucleus and that their surfaces are initially in contact at rest. The electrons surrounding the nuclei can be neglected. This electric potential energy will then be entirely converted to kinetic energy as the fragments repel each other. How does your predicted kinetic energy of the fragments agree with the observed value associated with uranium fission (approximately 200 MeV total)? [l MeV = 10 6 eV.]
(II) The liquid-drop model of the nucleus suggests that high-energy oscillations of certain nuclei can split (“fission”) a large nucleus into two unequal fragments plus a few neutrons. Using this model, consider the ease of a uranium nucleus fissioning into two spherical fragments, one with a charge q 1 = +38 e and radius r 1 = 5.5 × 10 -15 m, the other with q 2 = +54 e and r 2 = 6.2 × 10 -15 m. Calculate the electric potential energy (MeV) of these fragments, assuming that the charge is uniformly distributed throughout the volume of each spherical nucleus and that their surfaces are initially in contact at rest. The electrons surrounding the nuclei can be neglected. This electric potential energy will then be entirely converted to kinetic energy as the fragments repel each other. How does your predicted kinetic energy of the fragments agree with the observed value associated with uranium fission (approximately 200 MeV total)? [l MeV = 10 6 eV.]
(II) The liquid-drop model of the nucleus suggests that high-energy oscillations of certain nuclei can split (“fission”) a large nucleus into two unequal fragments plus a few neutrons. Using this model, consider the ease of a uranium nucleus fissioning into two spherical fragments, one with a charge q1 = +38e and radius r1= 5.5 × 10-15m, the other with q2 = +54e and r2 = 6.2 × 10-15m. Calculate the electric potential energy (MeV) of these fragments, assuming that the charge is uniformly distributed throughout the volume of each spherical nucleus and that their surfaces are initially in contact at rest. The electrons surrounding the nuclei can be neglected. This electric potential energy will then be entirely converted to kinetic energy as the fragments repel each other. How does your predicted kinetic energy of the fragments agree with the observed value associated with uranium fission (approximately 200 MeV total)? [l MeV = 106eV.]
Consider a small positive test charge located on an electricfield line at some point, such as point P in Fig. 16–32a. Isthe direction of the velocity and/or acceleration of thetest charge along this line? Discuss.
Consider two point charges whose initial separation decreases so as to increase the force between them by a factor of 25. To what fraction has their initial separation been reduced?
A charge of 3.0 μC and a second charge q are initially far apart.If it takes 29 J of work to bring them to a final configuration inwhich the coordinate of 3 μC is at x = 1.0 mm, y = 1.0 mm, andthe other charge is at x = 1.0 mm, y = 3.0 mm, find themagnitude of the unknown charge.
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