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Can Archimedes pry up the earth?
Absolutely not,

This is not a question of whether there is a fulcrum, but a question of torque.

As we all know, Archimedes needed a labor-saving lever to pry up the earth, that is, a lever with a longer arm than the arm. According to the calculation of the principle of circumferential velocity, when the earth moves at the same angle as Archimedes, the earth only rises a little and Archimedes has to run a big circle (you can draw a circle by yourself, take two points on the diameter, turn the diameter to an angle, and the distance near the center of the circle is short, and the earth is that point).

After calculation, it can be concluded that if Archimedes really wants to tilt the earth at a considerable angle, he must move in the universe with amazing power, which is equivalent to a Three Gorges Dam. If Archimedes really has this ability, then why should we build the Three Gorges Dam? Just introduce a few Archimedes.