A conductor rod `AB` of mass `m` slides without friction over two long conducting rails separated by a distance (Fig) At the left end the raidls are interconnected by a resistance `R`. The system is located in a unifrom magnetic fileld perpendicular to the plane of the loop. At the moment `t = 0` the rod `AB` starts moving to the right with an initial velocity `v_(0)`. Neglecting the resistances of the rails and the rod `AB`, as wellas the self -indcuctance, find:
(a) the distance covered by the rod until it comes to a standsill,
(b) the amount of heat generated in the resitance `R` during this process.