Suppose Stupendous Man wants to lift the earth using a very strong 2x4. The eart

Question

Suppose Stupendous Man wants to lift the earth using a very strong 2x4. The earth weighs about 5.974 x 10^24 kg and is 3 meters from the solid fulcrum(rotation point). If stupendous man has a mass of 80 kg ( full gear), how long would his 2x4 have to be in order to lift the earth? Please give your answer in light years(ly). (1 ly= 9.4605 x 10^17). You should get a big number, and just for a reference the moon is about 0.00000004 ly away, the sun about 0.000016 ly away, and the nearest star about 4.0 ly away, and the nearest galaxy about 2,511,432 ly away ( Assume gravity is constant over the entire system and the fulcrum is set).

Explanation / Answer

Suppose the distance is l , then

M * l = Me * 3

=> l =  5.974 x 3 X 10^24 / 80

=> l = 2.2402 X 10 ^ 23 m

=> l = 2.2402 X 10 ^ 23/ 9.4605 x 10^17 = 2.369 X 10 ^ 5 ly

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