Try rubbing a plastic pen through your hair, and you'll find that you can pick up a tiny scrap of paper when the pen is about one centimeter above the paper. from this simple experiment you can estimate how much an atom in the paper is polarized by the pen! you will need to make several assumptions and approximations. (a) suppose that the center of the outer electron cloud of a carbon atom shifts a distance when the atom is polarized by the pen. calculate algebraically in terms of the charge on the pen. (use the following as necessary: , for acceleration due to gravity, for the distance from the carbon to the pen, for the charge of the electron, , , and .)