bhai unless i'm not stupidly wrong, isn't this absurd asf? firstly velocity wouldn't be constant by itself beacause of the force on current carrying rod in B, so, neither velocity, nor emf, not current, not force, none of these will be constant, F= (Bl)^2v/R
that is a fucntion of v (velocity) and then we can substitute F= m* dv/dt
and now integrate kar ke we'll find out the V at the end, and then simply work done= change in KE
yaha par bhai V ko constant maan kar, F constant le kar, Work= F*l kar diya hai simply, but miraculously velocity constant thodi ho jayegi, usko constant rakhne ke liye hame kuch work karna padega, wahi work toh nikalna hai na