Slow down there, you silly piece of metal

A square loop of metal of side length \(L= 0.1~\mbox{m}\), mass \(m=0.1~\mbox{kg}\), and resistance \(R=1~\Omega\), oriented in the \(xy\) plane, is traveling to the right (positive \(x\) direction) at a speed of \(v_0=0.1~\mbox{m/s}\). At time \(t=0\), the right edge of the loop enters a region of magnetic field \(B=1\hat{z}~\mbox{T}\). At what time in seconds does the left edge of the loop enter the magnetic field?

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