The Federation space cruiser Execrable is floating in Federation territory at rest rel-ative to the border of Klingon space, which is 6.0 min away in the +x direction.
Suddenly, a Klingon warship flies past the cruiser in the direction of the border at speed B = 3/5. Call this event A and let it define time zero in both the Klingon and cruiser reference frames. At tB = 5.0 min according to the cruiser clock, the Klingons emit a parting phasor blast (event B) that travels at the speed of light back to the cruiser. The phasor blast hits the cruiser and disables it (event C), and shortly later (according to cruiser radar measurements) the Klingons cross the border into Klingon territory (event D).
a. Draw a 2-system space-time diagram of the situation, taking the cruiser to de_ne the stationary frame and the Klingon to define the moving frame. Draw and label the world-lines of the cruiser, the Klingon territory boundry, the Klingon warship, and the phasor blast. Draw and label events A,B,C,D as points on your diagram.
b. When does the phasor blast hit, and when do the Klingons pass into their own territory, according to clocks in the cruiser's frame? Read these events directly from the diagram.
c. The Klingon-Federation Treaty states that it is illegal for a Klingon ship in Fed- eration territory to damage Federation property. When the case comes up in Interstellar court, the Klingons claim that they are within the letter of the law,since according to measurements made in their reference frame, the damage to the Execrable occurred after they crossed back into Klingon territory-hence they were not in Federation territory at the time. Did event C really happen after event D in the Klingon's frame? Check your answer with the Lorentz Transformation equations.