$10.$ There is a $20$ cm long conducting bar of resistance $0\mathrm{.}1$ ohms being pushed left at a constant velocity along two perfectly conducting rails, which sits in a $10$ mT magnetic field point out of the page. The emf generated by the bar is $2$ mV $.$

$($a$)(1$ point$)$ What is the speed of the bar?

$($b$)(1$ point$)$ What is the magnitude of the force pushing the bar?

$($c$)(1$ point$)$ What is the direction of the induced current and emf in the bar?