1. The problem statement, all variables and given/known data A mass m that has net electric charge Q is oscillating along the x-direction on one end of a spring (whose other end is anchored) of relaxed length s0. Suppose that someone then swirches on an electric field E that is uniform in space, constant in time, and which points in the +x direction. The entire system is then immersed in this electric field. a. Set up the governing differential equation of motion for the mass in a coordinate system with origin at the “anchored” end of the spring. Ignore gravity. b. Without actually deriving it, what do you anticipate that the governing differential equation in a “smart” coordinate system would be? c. Go through steps analogous to those we went through in our text discussion to show that the equivalent differential equation expressed in terms of the “right” variable is independent ofE Hint: As part of this, you will need to find the equilibrium position with the field “on.” Any idea of where to start would be greatly appreciated, thanks!