Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 27 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.85 × 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't.  How long, in seconds, must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)

Question

Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 27 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.85 × 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't.  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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