Two events occur in an inertial system K as follows. Event 1: x1 = 0.3a, t1 = 2a

Question

Two events occur in an inertial system K as follows.

Event 1: x1 = 0.3a, t1 = 2a/c, y1 = 0, z1 = 0
Event 2: x2 = 2a, t2 = -2.0a/c, y2 = 0, z2 = 0

Is there a frame K' in which the two events occur at the same place? If "yes", then determine the velocity of K' relative to K. If "no", then determine the velocity of the frame in which the two events are simultaneous. Express the velocity vector using the variables a and c and the unit vectors, i, j, and k; for example, 2*i + 2*j is a vector which bisects the x and y axes.

Explanation / Answer

0.3a/v=t-2a/c 2a/v=t+2a/c 1.7*c/4=Vx so the velocity is (1.7/4)*ci

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