An important classical force law is called the Lorentz force and describes the force F acting on a pointcharge of mass m and charge q in the presence of an electric field E and/or a magnetic field B. It is givenas:F =qE+qv x Bwhere 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 experiencesin (Cartesian) component form. [Hint: Define a Cartesian coordinate system and assume the particle isat 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 particler(t) (where r = a). [Hint: Break up into components if needed and treat each separately.]d. Now assume the particle charge q and at t = 0, with velocity Vo, it enters a region with uniform (i.e.,constant) magnetic field B (but no E). Further, assume B points only along your chosen z-axis. Writean expression for the acceleration a the particle experiences in (Cartesian) component form. Solve thisfor n(t)

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