Problem 1 A particle with massm and charge q is in an electric field & and a n agne. fiel.. B. use ow.on's second law .o write a ve..or differential equation for the clocity"(t, of the particle. Write it as dv Then take Cartesian components and write e pressi as for du (1) du (2) du (3) in terms .. the cleven antilicam. q, v . v , u. H . E , E. Finally say for each of the eleven antities whether it is a con stant, a function of time (), or a function of space time ( , 3, 2, and {)- Problem 2 _onsider a classical hydrogen atom consisting of a proton fixed at the origin and an electron free to move. Let r --123 * 2k denote the position of the electron I Write an expression for the force that the electron feels b, being near the proton. 2 Write down Cartesian components of equations of motion for the electron in the form (* ) (v) diz ( ) in terms of _, y, 2 and whatever else you need (but force, electric field, and electric potential should not appear ex- pli itl J