If neutrinos were found to travel at the speed of light, what would we instantly know about neutrinos?

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QUESTION
Discuss these problems with other students, but every student needs to submit their
own work. Please be sure to show your work for partial credit. Use scientific notation
throughout your answers. Units are always required. Make sure that you have consistent units
when multiplying or dividing quantities.
1. Please look at the train and lightbulb example from the textbook (also explained at length in
class). Assume that the train moves a v = 0.1c, v = 0.9c, and v=0.99c. Within the train, the
flash takes 1 second to travel from the bulb on the floor, to bounce off the mirror on the ceiling,
and return to a detector on the floor. How long will the robber perceive the interval to take in
each case? (3 pts)
2. Say that ‘Oumuamua was an alien probe (it wasn’t), that it was traveling at v=0.9c (it did not),
and for a while it zoomed along in the plane of Earth’s orbit around the Sun (nope). What is the
true diameter of the Earth, and what would the beings aboard ‘Oumuamua measure for the
Earth’s diameter as they zoomed past? (2 pts).
5. If neutrinos were found to travel at the speed of light, what would we instantly know about
neutrinos? (2 pts)
6. Kylo Ren is nothing if not stylish. His TIE-fighter has red accents (the light reflecting from
these parts peaks at 680 nanometers, when you stand next to the vehicle). You’ve stolen his
Twix and he is super angry, and he is now flying at you at v = 0.5c. At what wavelength does
light from the “red” regions now appear to peak, and what color is that? (3pts)
 

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