Workout 4 (40 pts) Remember: SHOW ALL OF YOUR WORK The USS Defiant is making a high-speed pass of Deep Space 9 (DS9) at a velocity of 1.8 x 10$ m/s (0.6 c). (a) The factor y quantifies relativistic effects: y = 1/V(1 - v2/c?) Calculate y: (b) If the Defiant is 200 m long in its own frame of reference, how long does it appear to be to an observer standing on DS9? (c) If the pass takes 0.6 seconds from the point of view of the captain of the Defiant, how long will it take from the perspective of an observer standing on DS9? (d) If DS9 has a docking bay which is 120 m long, how fast would the Defiant have to be going in order to appear to fit into that bay? (NOTE: It doesn't really fit, of course, because in order to stay inside, it would have to decelerate to rest with respect to DS9 - that would be bad.)