$(15$ points$)$ A rod of length $L=12\mathrm{.}5cm$ is forced to move at constant speed $v=3\mathrm{.}5\frac{m}{s}$ along horizontal rails in a uniform magnetic field of $B=80mT.$ The rod has a resistance of $1\mathrm{.}2,$ the rest of the loop has negligible resistance. Find the magnitude and direction $($clockwise or counterclockwise$)$ of the induced current in the loop. You need to start from Faraday's law of induction and the definition of magnetic flux and work out the rest from there. To get full credit, do not write any other equation not given on the equation page that you might have memorized.