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1.Two very small 8,55-g spheres, 15,0 cm apart from center to center, are charged by adding equal numbers of electrons to each of them. Disregarding all other forces, how many electrons would you have to add to each sphere so that the two spheres will accelerate at 25,0 g when released? Which way will they accelerate?
2.Consider a gold nucleus to be a sphere of radius 6.9 Fermi in which protons and neutrons are distributed. Find the force of repulsion between two protons situated at largest separation. Why do these protons not fly apart under this repulsion?
3.Find the electric force between two protons separated by a distance of 1 fermi (1 fermi = 10-15 m). The protons in a nucleus remain at a separation of this order.
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4.Two protons in an atomic nucleus are typically separated by a distance of 2 x 10-15 m. The electric repulsion force between the protons is huge, but the attractive nuclear force is even stronger and keeps the nucleus from bursting apart. What is the magnitude of the electric force between two protons separated by 2.00 X 10-15 m?.
5.The nucleus of 8Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons).
(a) What is the force between the two alpha particles when they are 5.00 × 10-15 m apart, and
(b) what will be the magnitude of the acceleration of the alpha particles due to this force?
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