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

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Applying force to a small mass in open space can theoretically lead to infinite displacement, but this does not result in infinite work done. Work is defined as the product of force and the distance over which it is applied, and once the force ceases, no additional work is done. The energy involved remains finite, specifically the kinetic energy of the mass. Thus, while displacement can be infinite, the work done is limited by the duration and magnitude of the force applied. Understanding these principles clarifies the relationship between force, displacement, and work in physics.
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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