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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).

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The Moon (7.35 x 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).
Transcribed Image Text:The Moon (7.35 x 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).
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