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17 Nov 2021

Given information

The mass of the Earth is  .

The mass of the Moon is   .

The separation between their centers is    .

 

Step-by-step explanation

Step 1.

Center of mass of a system is defined as a point at which the total weight of the system can be concentrated.

The formula to calculate the position of the center of mass (CM) of the Earth-Moon system is

 

Where, is the position of the center of mass, is the mass of the Earth, is the mass of the Moon, is the position of the center of Earth and is the position of the center of the Moon.

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