In this problem you will estimate the polarizability of a carbon atom. imagine you rub a plastic pen through your hair, depositing 1.4 × 10−8 c on the tip of the pen. you move the tip of the pen toward a small scrap of paper, and the paper just begins to lift when the tip is 0.01 m away. assume that the outermost electron cloud of carbon (containing 4 electrons) shifts a distance s when polarized by the pen. first find this charge separation s, then use it to solve for the polarizability of carbon. the mass of one carbon atom is 2 × 10−26 kg. [the measured value of αc is 1.96×10−40. expect to calculate an answer within about a factor of 10 of this value.] assume the acceleration due to gravity is 9.8 m/s 2 .