Why is Work Defined as Force Times Displacement?

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SUMMARY

Work is defined as the product of force and displacement (Work = Force x Displacement or W = F x S) because it quantifies the energy transferred when a force acts over a distance. This definition is fundamental and not arbitrary, as it reflects the proportional relationship between the force exerted on a system and the distance moved in the direction of that force. Additionally, work can manifest in various forms, such as pressure times volume change, torque times angle, and charge times potential difference, illustrating its versatility in different physical contexts.

PREREQUISITES
  • Understanding of basic physics concepts, particularly Newton's laws of motion.
  • Familiarity with the definitions of force and displacement in a physical context.
  • Knowledge of energy transfer and its various forms, including heat and internal energy.
  • Basic mathematical skills to manipulate equations involving force and displacement.
NEXT STEPS
  • Research the relationship between work and energy in thermodynamics.
  • Explore the concept of torque and its applications in rotational dynamics.
  • Learn about the principles of pressure-volume work in thermodynamic systems.
  • Investigate the conversion of electrical energy into mechanical work through charge and potential difference.
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Students of physics, educators teaching mechanics, and professionals in engineering fields who require a solid understanding of work and energy principles.

hasankamal007
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Its known that Work=Force X Displacement or F x S.
But why?
Why is only F x S equal to work?
Why not something else like Work=blah X blah could be true?
 
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As far as I understand it, its a fundamental definition so its not derived, its a definition. The force exerted on a physical system and the distance in the force direction are both proportional to the potential that physical system gains for exerting a force through some distance, i.e. potential for work, aka "energy". So this quantitative definition of work results in transfer of energy, our qualitative definition of work.

If my understanding is wrong, someone please do give me some constructive criticism.
 
Work / energy can take many forms, in fact.
It can be:
Pressure times volume change.
Torque times angle
Charge times Potential difference

You could say it's a definition but it's more than that. It's not just arbitrary because you can transfer work, defined one way, into work, defined another way and then into Heat (internal energy).

It's a quantity that Science has found useful to deal in.
 

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