defining momentum in a theoretical time-space is clear, cut and dry...
however, momentum itself depends upon a discrete knowledge of a mass' velocity.
which we have no way of truly knowing.....
so, what we observe is "relative momentum". i.e. a mass' momentum relative to the motion of the observer.
while this in and of itself, certainly does not represent any absolute energy value, the momentum of an object
CAN however translate purely to energy in specific cases.
Momentum is always conserved
one such case here on earth, is an object placed 9.8 meters above the ground.
here, if the object were to fall, time (s) = 1
the final momentum of the object at the time of impact is the same as its' energy.
and the potential energy at the start of the system.
now, there are other momentums to consider,
at moments smaller than 1s, which is why they can only be considered the same under certain conditions.
but for the analysis of the system, we will use 1 second.
during this one second, the potential energy of the object became kinetic energy
while momentum (from our inertial frame of reference) increased
from 0 to a value that is equal to both the initial potential energy and the final kinetic energy.
In this case, the Violition Energy would be something like:
VE= system energy + the OU energy = Momentum + a larger than expected crater when the object hits the ground.
there are other areas of physics where time falls out of the equation and momentum and energy translate as one.
magnetic fields, gravity, electrostatics, heat, light, etc....
if you consider the simplest form, as in a pendulum impact hammer, or a balance beam
momentum can be made to translate directly into energy in certain cases
Here's a question
If you push an object with one Joule of energy,
How many Newton-Meters/Meter are there across a distance of One meter?
you see? momentum is not the only thing we can translate from our energy.
the reason we have standard units, is because when you reduce them, they are all the same.
one cubic meter over 1 second of time, at sea level, standard temperature and pressure....
everything becomes 1 and our units are meaningless
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ABOUT THE ESCHER GRAVITY DEVICE:::::::::::::::
----MASTER ANGLE?!?!?!?!?------
Try this: extend the boards with one "master angle"
very very very very very long, or as long as you can find the wood for.....
and see how high you can get it to roll, over a long distance.