The Moon (7.35 × 1022 kg) and Earth (5.97 x 1024 kg) rotate about their common center of mass, which is located about 4700 km from the center of Earth. (This is 1690 km below the surface.) A. Calculate the distance between the common center of mass of the Moon/Sun system to the center of the Moon. B. C. Calculate the acceleration due to the Moon's gravity at that point. Calculate the centripetal acceleration of the center of Earth as it rotates about that point once each lunar month (about 27.3 d).

The Moon (7.35 × 1022 kg) and Earth (5.97 x 1024 kg) rotate about their common center of mass, which is located about 4700 km from the center of Earth. (This is 1690 km below the surface.) A. Calculate the distance between the common center of mass of the Moon/Sun system to the center of the Moon. B. C. Calculate the acceleration due to the Moon's gravity at that point. Calculate the centripetal acceleration of the center of Earth as it rotates about that point once each lunar month (about 27.3 d).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section10.3: Center Of Mass Revisited

Problem 10.2CE

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