A tiny scrap of paper is suspended motionless below a plastic pen that carries a net charge of Q. Focus on a single carbon atom in the scrap of paper. Suppose that the center of the outer electron cloud (with a charge of -4e) of this carbon atom shifts a distance s when the carbon atom is polarized by the pen. Required:
a. Use the momentum principle (Newton's 2nd Law) to derive a mathematical (algebraic) expression for s.
b. Using your result for s, derive an algebraic expression for the atom's polarizability, a.

The speed of sound in ice, water, and steam is shown. what best explains the speed of sound in different states of matter? sound travels fastest in ice because energy is easier to transfer when the molecules are close together. sound travels slowest in steam because the sound has to move around the gas molecules that are far apart. sound travels fastest in ice because the temperature of solids is always greater, so the heat transfers the sound energy. sound travels slowest in steam because the pressure is so great the sound cannot travel though the steam particles.

The dot diagram represents the motion of the motorcycle as it moves from left to right

What is the name for the remnant of an asymptotic giant that has lost its shells? black dwarf white dwarf yellow giant black hole