Derive the formula for the electric field e to accelerate the charged particle to a fraction f of the speed of light c. express e in terms of m, q, d, f, c and v0. – (a) using the coulomb force and kinematic equations. (8 points) – (b) using the work-kinetic energy theorem. ( 8 points) – (c) using the formula above, evaluate the strength of the electric field e to accelerate an electron from 0.1% of the speed of light to 90% of the speed of light. you need to look up the relevant constants, such as mass of the electron, charge of the electron and the speed of light. (5 points)