An important classical force law is called the Lorentz force and describes the force F acting on a point charge of mass m and charge q in the presence of an electric field E and/or a magnetic field B. It is given as: =qE+qvx B F where v is the velocity of the charged point mass. a. Consider the special case where q = 0 (i.e., the mass has no charge). What forces act on the mass? b. Now assume the particle charge q and at t = 0, with velocity Vo, it enters a region with uniform (i.e., constant) electric field E (but no B). Write an expression for the acceleration a the particle experiences in (Cartesian) component form. [Hint: Define a Cartesian coordinate system and assume the particle is at location r, when it enters the electric field.] c. Integrate this your answer to part b to determine a vector expression for the position of the particle r(t) (where r = a). [Hint: Break up into components if needed and treat each separately.]

An important classical force law is called the Lorentz force and describes the force F acting on a point charge of mass m and charge q in the presence of an electric field E and/or a magnetic field B. It is given as: =qE+qvx B F where v is the velocity of the charged point mass. a. Consider the special case where q = 0 (i.e., the mass has no charge). What forces act on the mass? b. Now assume the particle charge q and at t = 0, with velocity Vo, it enters a region with uniform (i.e., constant) electric field E (but no B). Write an expression for the acceleration a the particle experiences in (Cartesian) component form. [Hint: Define a Cartesian coordinate system and assume the particle is at location r, when it enters the electric field.] c. Integrate this your answer to part b to determine a vector expression for the position of the particle r(t) (where r = a). [Hint: Break up into components if needed and treat each separately.]