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Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 27.4 h by...

Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 27.4 h by exerting an opposing force at and parallel to the equator. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.54 ✕ 107 N (a little greater than a Saturn V rocket's thrust). How long in seconds must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)

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