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1.8 [3pt] How many electrons should we transfer from Earth to Sun in order to match...

1.8 [3pt] How many electrons should we transfer from Earth to Sun in order to match the gravity force between the two? Suppose we take those electrons from a cube-shape piece of Al, one electron per atom. What would be the size of the cube?

1.8 ANSWER

1.9 [2pt] How much work will it take to remove one electron from a hydrogen atom (assume that we remove it such that it ends up far away from the atom). The typical distance between an electron from the proton in this atom is about 0.1 nanometer. Express your answer in both Joules and in electron-Volts

1.9ANSWER

1.10 [2pt] Same question but for removing 1 proton from the nucleus of an alpha-particle (checkout what an alpha-particle is on Wiki). Assume that the two protons are at a distance of about 1 femtometer apart from each other. Express your answer in both Joules, and electron-Volts.

1.10 ANSWER

1.11 [2pt] Suppose you are shooting one proton to smash with another proton. Initially the two protons are infinitely far apart. What minimal velocity is necessary for the proton-proton distance to reach 1 femtometer. Assume the other proton stays at rest all the time.

1.11 ANSWER

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