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Unformatted text preview: and the radius of Earth will also increase by just about the same amount. (a)Use the current mass, M, radius, R, and time for one rotation, T, of Earth to find an expression for the angular momentum of Earth in terms of M, R, and T. (b)Solve this expression for the period as a function of the radius, R. (c)Differentiate T with respect to R to show that, dT dR = 2 T R . Explain why some quantities are constants. (d)Let dT dR " # T # R to find a value for the change in the period of Earths rotation due to the melting of Antarctica. (e)Explain your result by comparing Earth to a spinning ice skater that moves her hands outward. 4. Your friend tells you that it easier to keep your balance on a moving bicycle than on a bicycle at rest. Do you agree or disagree? Explain to your friend the answer using the ideas of physics?. 85.0cm A satellite image of Antarctica...
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 Fall '09
 Kagan
 Inertia, Mass

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