An ideal spring, with spring constant k, is attached to a particle of charge q and mass m in such a way that it can only move along the z-axis. the spring's equilibrium is used to set i= 0. the system is then put in an electric field e= e . 1. where would the new equilibrium be? 2. if the system was at rest and equilibrium initially, what is the maximum speed of the system after the electric field is turned on? 3. under the same conditions what is the maximum distance from the origin the mass can reach?