Question

The ratio of the mass of the earth to the mass of the moon is 81.3. The radius of the Earth's 6378 km.

a) Determine the distance of the center of mass of the Earth-moon system from the center of the Earth when the distance between the center of the Earth and the moon is 376700 km.

Answer 1

The center of mass of the Earth-Moon system is approximately 1,730 km below the surface of the Earth when the distance between the center of the Earth and the Moon is 376,700 km.

Step-by-step explanation:

The center of mass of the Earth-Moon system can be determined using the ratio of their masses. Given that the ratio of the mass of the Earth to the mass of the Moon is 81.3, we can calculate the distance of the center of mass from the center of the Earth. When the distance between the center of the Earth and the Moon is 376,700 km, we can use the radius of the Earth to find that the center of mass is approximately 1,730 km below the surface of the Earth.