How Does Reducing Distance Affect Tangential Speed in Rotating Space Modules?

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Homework Help Overview

The discussion revolves around the relationship between distance and tangential speed in a system of two rotating space modules connected by a massless cable. The original poster describes the setup and provides initial conditions, including the initial tangential speed and the change in distance between the modules.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply a formula from linear kinematics to determine the final tangential speed after the distance is reduced. They express uncertainty about their calculations and seek clarification on the conservation of quantities involved in the scenario.

Discussion Status

The discussion includes hints regarding the conservation of certain quantities as the modules are pulled together. There is a clarification that energy is not conserved due to the involvement of a motor in the process. The original poster indicates progress in understanding the problem.

Contextual Notes

The original poster mentions confusion regarding the chapter's concepts, indicating a potential gap in understanding the principles of rotational motion and conservation laws in this context.

MKM
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In outer space two space modules are joined together by a massless cable. These probes are rotating about their center of mass, which is at the center of the wire, because the modules are identical (see the drawing). In each probe, the cable is connected to a motor, so that the modules can pull each other together. The initial tangential speed of each module is v0 = 7.98 m/s. Then they pull together until the distance between them is reduced by a factor of 3. Determine the final tangential speed, which is vf for each module.


sorry I know it seems like I have soo many questions but this chapter ha been confusing for me. I amd assuming that I can use the formula from linear inematics which is velocity squared = inivital velocity +2 g 3 I get 8.17 m/s I don;t bleive this is correct though
 

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Hint: What quantity is conserved as the modules are pulled in?
 
Do you mean the energy? or the velocity it self?
 
Hint: Energy is not conserved! (A motor is required to pull the modules in.)
 
Hey thanks I finally found it !
 

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