Remember: SHOW ALL OF YOUR WORK The USS Defiant is making a high-speed pass of Deep Space 9 (DS 9) at a velocity of 1.8×108 m/s(0.6c) (a) The factor γ quantifies relativistic effects: γ=1/​(1−v2/c2) Calculate γ : (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 DS 9 ? (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 DS 9 ? (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.)