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Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 35.0 h...

Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 35.0 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.20 x10^7 N (comparable to a Saturn V rocket's thrust). Assume the Earth's initial rotation is exactly once per 24.0 h to find how long Zorch must push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 x10^24 kg and its radius is 6.38 x10^6 m.)

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