Fig. $3$ shows a square loop with length $L=10\mathrm{.}0cm$ forced to move at constant speed $v=5\mathrm{.}00c\frac{m}{s}$ away from an infinite straight wire. The square loop has a resistance of $0\mathrm{.}40.$ At $t=0,$ the constant current $i=10$ A through the long straight wire at a distance $a=1\mathrm{.}0cm$ from the loop. At $t=10\mathrm{.}0s,$ what are $($a$)$ the magnitude of current induced in the loop and $(12$ pts$),($b$)$ the magnitude of force must be applied to the loop to make it move at a constant speed, and $(7$ pts$)($c$)$ the rate of thermal energy generated in the square loop? $(5$ pts$)$

FIG. $3.$