Problem 1. A metal bar (mass m, length l) slides on horizontal conducting rails (located in the x-y plane) in a vertical uniform magnetic field (directed in positive z- direction). The electric resistance of the closed circuit consisting of the rails and the bar is R, independent of the position of the bar. (a) If the bar moves with velocity v, what is the current in the circuit? (b) What is the force on the bar? Note that this is a braking force (c) If the initial velocity of the bar is vo, how far does the bar slide before stopping? (Neglect friction with the rails). (d) Show that the initial kinetic energy of the bar has all been expended as Joule heat when the bar stops.