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(8%) Problem 6: Zorch, an archenemy of Superman, decides to slow Earths rotation to once per 29 h by exerting a force parallel to the equator, opposing the rotation. He uses an old Saturn V rocket, stolen from NASA, which was originally used to send astronauts to the Moon. This rocket can exert a thrust of 3.9 x 10 N ? 50% Part (a) If the original angular velocity of Earth is oo and Zorch is trying to get the Earth to an angular velocity of a, how much time will it take him? Use Mand R for the mass and radius of the Earth Grade Summary Deductions Potential Late Work % 80% Late Potential 80% 0% (l Submissions Attempts remaining: 8 (1 % per attempt) detailed view Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback 50% Part (b) How long în seconds, will it take him to do this? (Notice that this period gives Superman time to devote to thwarting other villains.)

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Note - please please pay attention. I have solved for both parts. In part (a) you can also put negative sign in front of F as it is acting in the opposite direction to rotation. However I have not included that sign because I don't know how your software ( in which you will input the equation) works. Anyway, I have used negative sign solve part (b). You will ubderunder this when you see the solution.

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