Two positive point charges q are held fixed on the x-axis at x=a and x= –a. a third positive point charge q, with mass m, is placed on the x-axis away from the origin at a coordinate x such that /x/< < a. the charge q, which is free to move along the x-axis, is then released. find the frequency of oscillation of the charge q. (hint: when the restoring force is directly proportional to the displacement from equilibrium, the oscillation is called simple harmonic motion. use the binomial expansion \left( {1 + z} \right)^n = 1 + nz + n\left( {n - 1} \right)z^2 /2 + ; ), valid for the case \left| z \right| < 1.) express your answer in terms of the variables q, q, m, a and appropriate constants.

Suppose while hauling rocks, you accidentally drop one. it breaks apart in flat, planar sections. what type of rock did you just drop? 20 points

Which of the following are used in an electrochemical cell? a. electrodes b. electrolyte c. terminals d. all of the above

To understand the behavior of the electric field at the surface of a conductor, and its relationship to surface charge on the conductor. a conductor is placed in an external electrostatic field. the external field is uniform before the conductor is placed within it. the conductor is completely isolated from any source of current or charge. part a: which of the following describes the electric field inside this conductor? it is in the same direction as the original external field.it is in the opposite direction from that of the original external field.it has a direction determined entirely by the charge on its surface.it is always zero. part b: the charge density inside the conductor is: 0non-zero; but uniformnon-zero; non-uniforminfinite part c: assume that at some point just outside the surface of the conductor, the electric field has magnitude e and is directed toward the surface of the conductor. what is the charge density η on the surface of the conductor at that point? express your answer in terms of e and ϵ0