Moving Rod + Decelerated motion + Changing Flux!

Figure shows that a wire bent into the shape of a right angle that is fixed on a horizontal plane. A very long rod of mass \(m=1 \text{ kg}\) initially starts with a velocity \(v_0=4 \text{ m/s}\) from the apex \(A\) of the bent wire. The resistance per unit length of the wire and the rod is \(\lambda = 1 \ \Omega \text m^{-1}\). The whole arrangement is put in a region of uniform magnetic induction \(B=1 \text{ T}\). Find the distance traveled by the rod before it becomes stationary.

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