How far from the center of the earth is the center of mass ofthe earth + moon sy

Question

How far from the center of the earth is the center of mass ofthe earth + moon system?
(Data for earth and moon can be found inside of the back coverof the book. )
Earth distance from sun 1.50x10^11(m) period(yrs) 1.00 mass(kg) 598x10^24 mean radius 6.37x10^6 (m)
Moon distance from sun = 3.84x10^8* period(yrs) = 27.3 days mass(kg) = 7.36x10^22 mean radius = 1.74x10^6

How far from the center of the earth is the center of mass ofthe earth + moon system?
(Data for earth and moon can be found inside of the back coverof the book. )
Earth distance from sun 1.50x10^11(m) period(yrs) 1.00 mass(kg) 598x10^24 mean radius 6.37x10^6 (m)
Moon distance from sun = 3.84x10^8* period(yrs) = 27.3 days mass(kg) = 7.36x10^22 mean radius = 1.74x10^6

How far from the center of the earth is the center of mass ofthe earth + moon system?
(Data for earth and moon can be found inside of the back coverof the book. )
Earth distance from sun 1.50x10^11(m) period(yrs) 1.00 mass(kg) 598x10^24 mean radius 6.37x10^6 (m)
Moon distance from sun = 3.84x10^8* period(yrs) = 27.3 days mass(kg) = 7.36x10^22 mean radius = 1.74x10^6

Explanation / Answer

mass of earth M = 5.98*1024 kg, mass of moon m =7.36*1022 kg distance between earth and moon d = 3.84*108 m find the distance between earth and the center of mass of thesystem x M*x = m(d - x) x = md/(m + M) = 4.67*106 m

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.