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HW 5.6. The Moon and the Earth both orbit the center of mass of the Earth-Moon system. Earth is 81 times more massive than th

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solution let the mass of moon & Earth be mo & Me respectively, 7 Me = 81 mo the distance between Earth & moon be 384 400.0km.384400 Mo sokmx me o 7 Xcm km (met mo) 384400 Mo Se Me = 81mo xem - ( 81 mot mo) xem - 3844 00 Mo km 82 mo 384400 km Xim- 82

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The distance of center of mass is : rem = midi+mg82 mitma Tcm= (81 mm)(o)+(mm)(304400) a1 mmt mm 8cm = 4687.00km (6371 km) So

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