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Theo1_Answer - THEORETICAL PROBLEM No 1 EVOLUTION OF THE...

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THEORETICAL PROBLEM No. 1 EVOLUTION OF THE EARTH-MOON SYSTEM SOLUTIONS 1. Conservation of Angular Momentum 1a 1 1 1 1 M M E E I I L 0.2 1b 2 2 2 2 M E I I L 0.2 1c 1 2 2 1 1 1 L I I I M M M E E 0.3 2. Final Separation and Angular Frequency of the Earth-Moon System. 2a E M G D 3 2 2 2 0.2 2b 2 2 1 2 M E M M G L D 0.5 2c 3 1 3 2 2 2 L M M G M E 0.5 2d The moment of inertia of the Earth will be the addition of the moment of inertia of a sphere with radius o r and density o and of a sphere with radius i r and density o i : )] ( [ 3 4 5 2 5 5 o i i o o E r r I . 0.5 2e 37 5 5 10 0 . 8 )] ( [ 3 4 5 2 o i i o o E r r I kg m 2 0.2 2f 34 1 1 1 1 10 4 . 3 M M E E I I L kg m 2 s -1 0.2
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2g 8 2 10 4 . 5 D m, that is 1 2 4 . 1 D D 0.3 2h 6 2 10 6 . 1 s -1 , that is, a period of 46 days.
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