Question

I. Darth Vader's parking problem (Part I):

Darth Vader "drives" his Star Destroyer of length = 2,200 m home. He tries to park the spaceship in his newly-build garage, which is at rest. The contractor who build the garage messed up the blueprints and made the garage only 2,000 m long (the poor guy must not have known who he was working for). Darth Vader apporaches the garage at very high speed (close to the speed of light). From the viewpoint of the following persons can the Star Destroyer be parked completely inside the garage? Explain your answer in as much detail as you can.

A. Darth Vader inside the Star Destroyer
B. Darth Vader's wife watching her husband park the family Star Destroyer while standing next to the garage.

II. Darth Vader's parking problem (Part II):

Would there be a similar problem as the one discussed in Part I for the Width and/or Height of the Star Destroyer? Why or why not?

III. Twin paradox:

Twin sisters, Gwen and Jackie, are both 20 years old. Jackie joins the space program and takes off on a round trip to a star system that is 10 lightyears away. She travels at very high speed (close to the speed of light).
According to Gwen's viewpoint, Jackie is traveling at very high speeds awway from Earth and therefore the clocks inside Jackie's spaceship are subject to time dialtion (they run slower). This would mean that upon her return Jackie is just a litle older than 20 years, while Gwen is now 40 years old (it takes 10 years for Jackie to travel to her destination and another 10 years to travel back).
According to Jackie's viewpoint, Gwen is traveling at very high speeds away from Jackie's (stationary) spaceship and therefore the clocks in Gwen's frame (on Earth) should be subject to time dialtion (they run slower). This would mean that upon returning Gwen now should be younger, while Jackie has aged 20 years.
Discuss how this apparent paradox can be resolved. Who of the two siters will be older when they meet again?

Answer 1

As criven that Length of the star destreger. L=2200m Length of garage 19 = 200m Darth vader would observe that the garage which is moving back in inglood of himself, and gouse length get's contracted by a factor o is ugy we know URL therefore Y71 6 So. He will not be able to park the star destroyer. for his wife who is watching from next grage. For his wife, the parth Vader is moving with Sosi speed v Then Now Ld will be constraided by a factor I'd - bd. Y i-vi? .:r> the there fare star destroyer park been would easily in the garage width and height are perpendicular to the direction of motion, there fore they will not undergoes ang length contraction. so they will appear to be the same for all observers. Twin paradox It is Jackie who breaks ant of an initial system which both awen and Jackie and start the Journy. Therefore Jackie is the one who under your recrimed again. 111

E and not comes who stayed at home finally Jackie will be little older than. 20yrs, while comes Gewen will be ko s c.iѕА -