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Short is an English word and is used almost in a slang/jargon type of way in Electrical Engineering. Short in English means that the length or distance of something is close by, or it is over a relatively small distance. The use of the word "short" in "short to ground" is actually short (lol!) for the full term "short circuit".
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As you are only talking about a 5V supply, then there is little risk from it either way, but in principle; For a current to flow there needs to be a circuit and if the negative is connected to Earth on your mains system then it is also connected to anything else earthed, and to the earth itself, so if you hold the live a circuit will be made through you to the earth.
12. Floating is a voltage term and, like any voltage, it must have a reference. That is: "Object A can be floating with respect to object B." If your shown circuit, both grounds are wired together, so the source, V1, is NOT floating with respect to the amplifier.