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

In summary, the physical quantity represented by ##\mathrm{J\cdot N\cdot W^{-1}\cdot kg^{-1}}## can be simplified to ##\mathrm{s\cdot N\cdot kg^{-1}}## and involves the fundamental units of velocity and force. It can be further simplified using equations from mechanics or electrodynamics.
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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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  • #2
Expand the Newton. Think f = ma.
 
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  • #3
Do you know the definition of N?
 
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  • #4
##N## is unit of force, how can you further write it in terms of fundamental units?
 
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  • #5
Velocity it is. Thanks for the help everyone! I was never taught what the exact definition of the Newton was.
 
  • #6
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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Related to Simplifying SI Units: What Quantity Does JNW⁻¹kg⁻¹ Denote?

1. What is the meaning of JNW⁻¹kg⁻¹ in Simplifying SI Units?

JNW⁻¹kg⁻¹ is a unit that represents energy per unit mass. The J represents joules, the N represents newtons, and the W represents watts. The ⁻¹ in the unit denotes that it is in the denominator, which means it is divided by the unit in the numerator, kg⁻¹.

2. How is JNW⁻¹kg⁻¹ simplified?

JNW⁻¹kg⁻¹ can be simplified by breaking it down into its component units. J represents joules, which can be simplified to kg⋅m²⋅s⁻². N represents newtons, which can be simplified to kg⋅m⋅s⁻². W represents watts, which can be simplified to kg⋅m²⋅s⁻³. This means that JNW⁻¹kg⁻¹ can be further simplified to kg⋅m⁻¹⋅s⁻².

3. How is energy per unit mass measured in the SI system?

Energy per unit mass is measured in joules per kilogram (J/kg) in the SI system. JNW⁻¹kg⁻¹ is another way of representing this unit, with J representing joules and kg⁻¹ representing per kilogram.

4. What are some common examples of energy per unit mass?

Some common examples of energy per unit mass include specific heat capacity (J/kg⋅K), specific energy (J/kg), and specific enthalpy (J/kg). These are all quantities that represent the amount of energy required or released per unit mass of a substance.

5. How is JNW⁻¹kg⁻¹ used in scientific calculations?

JNW⁻¹kg⁻¹ is used in scientific calculations to represent energy per unit mass. It can be used to calculate specific energy, specific heat capacity, and specific enthalpy, as well as other quantities that involve energy and mass. Scientists may also use this unit to convert between different units of energy per unit mass in the SI system.

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