(Solved): Temporal separation between two events. Events A and Boccur with the following spacetime coordinate ...

Temporal separation between two events. Events A and Boccur with the following spacetime coordinates in the reference frames of the figure: according to the unprimed frame, \( \left(x_{A}, t_{A}\right) \) and \( \left(x_{B} t_{B}\right) \); according to the primed frame, \( \left(x_{A}^{\prime} t_{A}^{\prime}\right) \) and \( \left(x_{B}^{\prime} t_{2}^{\prime}\right) \). In the unprimed frame, \( \Delta t-t_{B}-t_{A}=1,42 \mu s \) and \( \Delta x-x_{B}-x_{A}=211 \mathrm{~m} \). (a) At what value of \( \beta \) is \( \Delta t^{\prime} \) minimum and (b) what is that minimum? (c) Can one of these events cause the other? (a) Number Units (b) Number Units