5 Electrical grids are placed 1m apart and connected to batteries so that the grids are at 0V, +100V, -10V, +45V, and +75V. A dust particle with mass of 1mg and a charge of -5e enters the first grid with a KE of 100eV.
A: Will the dust particle have enough energy to make it all the way to the last grid? If not, how much extra KE does it need?
B: With the energy from part A adjusted as necessary to allow the dust particle to make it through, what KE will it have at each of the five grids, in eV?
C: What will be the velocity of the particle in m/s when leaving the 5th grid?
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