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In episode 5 of Star Wars the Empire’s spaceships launch probe droids throughout

ID: 1571865 • Letter: I

Question

In episode 5 of Star Wars the Empire’s spaceships launch probe droids throughout
the galaxy to seek the base of the Rebel Alliance. Suppose a spaceship moving at
2.3 * 108 m/s toward Hoth (site of the rebel base) launches a probe droid toward Hoth at
2.1 * 108 m/s relative to the spaceship. According to Galilean relativity: (a) What is the
speed of the droid relative to Hoth? (b) If rebel astronomers are watching the approaching
spaceship through a telescope, will they see the probe before it lands on Hoth?

Explanation / Answer

a) the speed of the droid relative to Hoth = (vb - va)/(1 - vbva/c2)

                                                                  =   (2.3 * 108 - 2.1 * 108)/(1 - 2.3 * 2.1/9)

                                                                  = 4.316 * 107 m/s

b)   If rebel astronomers are watching the approaching spaceship through a telescope, they will not see the probe before it lands on Hoth .