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18 Nov 2021

Given information

The mass of one astronaut is .

The mass of other astronaut is .

The distance by which the lighter astronaut moves is .

Step-by-step explanation

Step 1.

Center of mass (CM) is the point at which the total mass of a body is considered to be act or concentrated. Assume the CM position of this system is at origin.

The formula to calculate the position of the CM of the system is

 

Here, is the position of the center of mass, is the mass of the lighter astronaut, is the mass of the other astronaut, is the position of the lighter astronaut and is the position of the other astronaut.

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