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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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