Unlimited Work Done in Free Space: The Impact of Force on Small Masses

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Discussion Overview

The discussion revolves around the concept of work done on a small mass in free space when a force is applied. Participants explore the implications of applying force indefinitely and the relationship between force, displacement, and work, touching on theoretical and conceptual aspects.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants propose that applying force on a small mass in open space could lead to infinite displacement, suggesting that this would result in infinite work done.
  • Others argue that work is defined by the distance over which the force is applied, indicating that once the force ceases, the work does not increase further.
  • A later reply reiterates the idea that while the displacement may be infinite, the energy associated with the mass remains finite, specifically referring to its kinetic energy.
  • Some participants express appreciation for the clarification regarding the relationship between work and the duration of force application.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between force, displacement, and work, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

The discussion highlights potential limitations in understanding the definitions of work and energy, as well as the conditions under which force is applied and its cessation.

Tony Stark
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If we apply force on a small mass in open space, then it will cover infinite displacement. Then would the mass have infinite work done?
 
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The work only takes into account the distance over which the force is applied. Once the force stops acting, the work doesn't increase.
 
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Tony Stark said:
If we apply force on a small mass in open space, then it will cover infinite displacement. Then would the mass have infinite work done?

"Work" is energy. In your example, the energy is finite: namely the kinetic energy of the mass.
 
axmls said:
The work only takes into account the distance over which the force is applied. Once the force stops acting, the work doesn't increase.
Thanks a lot. It solved my problem clearly:smile::smile:
 

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