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Work and kinetic energy are defined as scalar energy and have the same units joules.

dW=F.dr = (dP/dt) dr=dP(dr/dt) = dPv = vdP= mvdv

W = F.r = mv^2/2.

Physics has defined scalar energy but has no definition for vector energy mcV.

Torque which is T= Fxr should be recognized as vector energy but it is defined as "Torque". This is another example of Physics not appreciating that the Universe is made of Quaternions, a Scalar part and a Vector part. E= FR = -F.R + FxR where the scalar energy has been defined as work (F.R) and the vector energy is defined as Torque FxR.

Kinetic energy is a transformation of work in terms of mass and velocity versus force and distance. The vector energy is not called energy.

See link:

http://en.wikipedia.org/wiki/Torque

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Q: How do you compare the units of work and kinetic energy?
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