Spatial separation between two events for the passing reference frames of Figure events A and B occur with the following space-time coordinates: according to the unprimed frame (xA, tA) and (xB, tB) according to the primed frame (xA, tA) and (xB, tB). In the unprimed frame, Δt = tB ?? tA = 1.00μs and Δx = xB ?? xA = 240 m.

(a) Find an expression for Δx' in terms of the speed parameter B and the given data. Graph Δx' versus B for two ranges of β:

(b) 0 to 0.01 and

(c) 0.1 to 1.

(d) At what value of β is Δx' = 0?

Event Unprimed Primed (xA, tA) (Xg, Ig) (xA, t) (rg, tB) x" A XA (a) Event A (b) Event B