The Federation space cruiserExecrable is floating in Federation territory at restrel-

ative to the border ofKlingon space, which is 6.0 min away in the +xdirection.

Suddenly, a Klingon warshipflies past the cruiser in the direction of the border at

speed B = 3/5. Call thisevent A and let it define time zero in both the Klingonand

cruiser reference frames. AttB = 5.0 min according to the cruiser clock, theKlingons

emit a parting phasor blast(event B) that travels at the speed of light back to the

cruiser. The phasor blasthits the cruiser and disables it (event C), and shortlylater

(according to cruiser radarmeasurements) the Klingons cross the border into Klingon

territory (eventD).

a. Draw a 2-system space-timediagram of the situation, taking the cruiser to de_ne

the stationary frame and theKlingon to define the moving frame. Draw and

label the world-lines of thecruiser, the Klingon territory boundry, the Klingon

warship, and the phasorblast. Draw and label events A,B,C,D as points on

your diagram.

b. When does the phasor blasthit, and when do the Klingons pass into their own territory,according to clocks in the cruiser's frame? Read these eventsdirectly

from the diagram.

c. The Klingon-FederationTreaty states that it is illegal for a Klingon ship inFed-

eration territory to damageFederation property. When the case comes up in

Interstellar court, theKlingons claim that they are within the letter of thelaw,

since according tomeasurements made in their reference frame, the damageto

the Execrable occurred afterthey crossed back into Klingon territory-hence

they were not in Federationterritory at the time. Did event C really happen

after event D in theKlingon's frame? Check your answer with the LorentzTransformation equations.