Simplifying SI Units: What Quantity Does JNW⁻¹kg⁻¹ Denote?

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Homework Help Overview

The discussion revolves around the simplification of the unit expression ##\mathrm{J\cdot N\cdot W^{-1}\cdot kg^{-1}}## and its corresponding physical quantity. The subject area includes mechanics and unit analysis.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the simplification of the unit expression and question the definitions of the units involved, particularly the Newton. There are suggestions to expand the Newton and consider fundamental units.

Discussion Status

The discussion includes various attempts to simplify the unit expression and clarify the definitions of the units. Some participants provide guidance on using known formulas involving force, while others express uncertainty about the definitions of the units.

Contextual Notes

There is an indication that some participants may lack foundational knowledge regarding the definitions of units, which could impact their understanding of the problem.

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Homework Statement


What physical quantity does ##\mathrm{J\cdot N\cdot W^{-1}\cdot kg^{-1}}## denote?

Homework Equations


You can simplify using mechanics equations or ones from electrodynamics. Be creative, I guess.

The Attempt at a Solution


##\mathrm{J\cdot N\cdot W^{-1}\cdot kg^{-1}}## simplifies to ##\mathrm{s\cdot N\cdot kg^{-1}}##. I don't know how to continue from this point.

Thanks in advance!
 
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Expand the Newton. Think f = ma.
 
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Do you know the definition of N?
 
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##N## is unit of force, how can you further write it in terms of fundamental units?
 
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Velocity it is. Thanks for the help everyone! I was never taught what the exact definition of the Newton was.
 
Just rewriting units in terms of others does not really require you to know its definition. Just use any formula you know in which force is involved, like work being equal to force times distance (for constant force).
 
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