Question

The earth and moon are separated by a center-to-center distance of 3. 85 x 108 m. The mass of the earth is 5. 98 x 1024 kg and that of the moon is 7. 35 x 1022 kg. How far does the center of mass of the earth-moon system lie from the center of the earth?.

Answer 1

For the distance of the center of mass of the earth-moon system lie from the center of the earth  is mathematically given as

x = 4.67x10^6m

What is the distance of the center of mass of the earth-moon system lies from the center of the earth?

Generally, the equation for the center of mass of the earth-moon system  is mathematically given as

x = M*x1 + m*x2 / m+m

x = (5.98x10^24*0 + 7.35x10^22*3.85x10^8) / (5.98x10^24 + 7.35x10^22)

x = 4.67x10^6m

In conclusion, the distance of the center of mass of the earth-moon system lies from the center of the earth

x = 4.67x10^6m

Read more about Mass

https://brainly.com/question/4931057