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Zorch, an archenemy of Rotation Man, decides to slow Earth's rotation to once per 30.9 h...

Zorch, an archenemy of Rotation Man, decides to slow Earth's rotation to once per 30.9 h by exerting an opposing force tangential to the surface at and parallel to the equator. Rotation Man is not immediately concerned, because he knows Zorch can only exert a force of 3.83 ✕ 107 N (a little greater than a Saturn V rocket's thrust). How long (in years) must Zorch push with this force to accomplish his goal? (This period gives Rotation Man time to devote to other villains. Approximate the Earth as a solid, uniform sphere.)

_____years

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