The relativity of simultaneity. Two clocks are placed at rest on the \(x^{\prime}\) axis of the primed frame, clock A at \(x^{\prime}=0\) and clock B at \(x^{\prime}=L_{0}\). They are therefore a distance \(L_{0}\) apart in their mutual (primed) rest frame. Observers in the unprimed frame see both clocks moving at velocity \(V\), B leading the way and A following it. Then at some particular time \(t\), unprimed observers measure the readings of \(t_{A}^{\prime}\) and \(t_{B}^{\prime}\) of the two clocks. Show from the Lorentz transformation of Eqs. 2.15 that \(t_{B}^{\prime}

Data from Eqs. 2.15

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ct = (ct +x'), x=(x+Bot), y=y, z=1, (2.15)