A metal rod of mass .22kg lies across two parallel conducting rails that are a distance of .52 m apart on a tabletop. A 3.0 Ω resistor is connected across the left ends of the rails. The rod and rails have negligible resistance however significant friction with a coefficient of kinetic friction of .20. There is a magnetic field of .80T perpendicular to the plane of the tabletop. A string pulls the metal rod to the right by a constant speed of 1.8 m/s. Compute the magnitude of the current induced in the loop formed by the rod, the rails, and the resistor. Compute the magnitude of the force required to pull the rod to the right with constant speed. Compute the energy dissipated in the resistor in 2 sec. Compute the work done by the string pulling the rod in 2sec. Contrast your answers to parts c and d. Provide a physical explanation for why they are equal or unequal.