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

AI Thread Summary
The discussion centers on simplifying the unit expression J·N·W⁻¹·kg⁻¹. Participants clarify that this expression can be simplified to s·N·kg⁻¹. The Newton (N) is defined as force, which can be expressed using fundamental units, leading to further simplification. There is an emphasis on using known formulas, such as the relationship between work, force, and distance, to aid in understanding the units. The conversation highlights the importance of grasping the definitions of units like the Newton for effective simplification.
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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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