Can Archimedes lift the earth?

"Give me a fulcrum and I can lift the earth." According to legend, this is what Archimedes, a mechanic who discovered the lever principle in ancient times, said. We read in Plutarch's book:

"On one occasion, Archimedes wrote a letter to Wang Xilun of the ancient city of Syracuse, and he was both a relative and a friend. The letter says that a certain force can move any weight. He likes to quote strong evidence and adds: If there is another earth, he can go there and move our earth. "

Archimedes knew that if you use a lever, you can lift anything no matter how heavy it is with the least force: just put this force on the long arm of the lever and let the short arm act on the weight. Therefore, he thinks that if he presses a very long lever arm hard, his hand can lift a weight equal to that of the earth.

However, if the great ancient mechanic knew the mass of the earth, he might not brag so much. Let's imagine that Archimedes really found another earth as a fulcrum, and then imagine that he also made a lever long enough. Do you know how long it will take him to make a weight equal to the earth, even if he only lifts 1 cm? At least 30 trillion years!

Astronomers know the mass of the earth. If you weigh an object with such a large mass on the earth, its gravity is about:

60 billion tons

If a person can only lift a weight of 60 kilograms directly, then he has to put his hand on such a long lever, and its long arm should be equal to/kloc-0 10000000000000000 times of its short arm.

Simply calculate, if you raise the end of the short arm to 1cm, you need to draw a big arc in the space at the end of the long arm, and the length of this arc is about 1, 000,000,000,000,000,000,000,000,000 km.

In other words, if Archimedes wants to lift the earth 1 cm, his hand holding the lever will move to such an unimaginable distance! So how long will it take him to finish? If we think that Archimedes can lift a 60kg weight 1 m in 1 s, then he will lift the earth 1 cm, which is 30 trillion years! It can be seen that Archimedes could not lift the earth a small distance even if he pressed the lever all his life.

No clever genius inventor can greatly shorten this cycle. "Huang Jinlv of Mechanics" tells us that any kind of machine, if it uses force, will inevitably suffer in the distance of position movement, that is, in time. Even if Archimedes' hand can move at the speed of light (300,000 kilometers per second), working for more than ten thousand years can only lift the earth 1 cm.