Two systems K and K ' synchronize their clocks at t= t' = 0 when their origins are aligned as system K passes by system K ' along the x axis at relative speed 0.8c. At time t = 3 ns, Frank (in system K) shoots a proton gun having proton speeds of 0.98c along his x axis. The protons leave the gun at x = 1 m and arrive at a target 120 m away. Determine the event coordinates (x, t) of the gun fi ring and of the protons arriving as measured by observers in both systems K and K '.

Two systems K and K ' synchronize their clocks at t= t' = 0 when their origins are aligned as system K passes by system K ' along the x axis at relative speed 0.8c. At time t = 3 ns, Frank (in system K) shoots a proton gun having proton speeds of 0.98c along his x axis. The protons leave the gun at x = 1 m and arrive at a target 120 m away. Determine the event coordinates (x, t) of the gun fi ring and of the protons arriving as measured by observers in both systems K and K '.