SHOW HANDWRITTEN WORK AND ANSWER

A $0\mathrm{.}290-$m$-$long bar moves on parallel rails that are connected through a $\backslash (6\mathrm{.}00\backslash$Omega $\backslash )$ resistor, as shown in $($Figure $1),$ so the apparatus makes a complete circuit. You can ignore the resistance of the bar and rails. The circuit is in a uniform magnetic field $1\mathrm{.}40$ T that is directed into the plane of the figure.

$($a$)$ At an instant when the induced current in the circuit is counterclockwise and equal to $1\mathrm{.}70$ A $,$ what is the magnitude of the velocity of the bar? Express your answer with the appropriate units.

$($b$)$ What is the direction of the velocity of the bar, left or rightward?