8. + -11 points SerPSE9 9P046. My Notes Ask Your Teacher The mass of the Earth i

Question

8. + -11 points SerPSE9 9P046. My Notes Ask Your Teacher The mass of the Earth is 5.98 x 1024 kg, and the mass of the Moon is 7.36 x 1022 kg. The distance of separation, measured between their centers, is 3.84 x 108 m. Locate the center of mass of the Earth-Moon system as measured from the center of the Earth m from the Earth's center Need Help? Read N Submit Answer Save Progress Home My Assignments Extension Request WebAssign 4.01997-2017 Advanced Instructional Systems, Ine. All rights reserved

Explanation / Answer

here,

mass of earth , m1 = 5.98 * 10^24 kg

mass of moon , m2 = 7.36 * 10^22 kg

r = 3.84 * 10^8 m

the center of mass of Earth-Moon system as measured from the center of the earth , x = (m1 * 0 + m2 * r)/( m1 +m2)

x = ( 0 + 7.36 * 10^22 * 3.84 * 10^8)/( 5.98 * 10^24 + 7.36 * 10^22) m

x = 4.7 * 10^6 m

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