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The confusion here is that momentum is not a conserved quantity in this example. Momentum is mass x velocity and NOT the same as energy. You cannot transfer momentum and expect the same energy because they have different equations. IF a 100% transfer of energy between the masses were to be effected, then it would result in the 1kg mass having a velocity of sqrt(5) m/sec - approx 2.236 m/secMass 1kg. Energy=2.5JV=sqrt(2E/m)=sqrt(2 x 2.5/1)=sqrt(5)=2.236 m/secE=(mv*2)/2= 1 x sqrt(5)^2/2=5/2=2.5JAsk any "top physicist" (or just a "normal" physicist, for that matter) and they will tell you the same.
Firstly, I have made no claims. Secondly, even if I did decide to do so, I would not need any of your "support", thank you.Lastly, all the relevant math was in my rebuttal. If you want to argue, show me where it is wrong.
kg * m / skg * m^2 / s^2think more slowly
The momentum does not have the second unit of timeBecause momentum is a relative term.We require the other relation to determine energy.It is not energy, it holds no energy, and cannotUntil you interact with it from another relative reference.If I move at the same velocity as your KgIt has no momentum.In fact it has no velocity We are both standing stillWhen your Kg impacts something, Then there is energyBecause you do not have one velocity, but Twom/s * m/s = m^2/s=2The velocity of your Kg, and the velocity of what it hit.This is a relative term.you did not “impart energy into your Kg”but rather you increased the Kg’s relative velocity withrespect to your inertial reference.Which equates to a Kinetic Energy potential, to your reference.The energy you put into it to change the velocity is also respective of your reference.Change the reference, change the energyBecause the relative velocity has changed.You can do this without making any changes to the Kg.If your Kg is standing stilland the Earth moves towards it at 1000m/sit will have the same momentum as if the Kg were moving1000m/s and the Earth stood still.without a stationary inertial frame, we don’t know the true velocity of anything.only it’s movement relative to our own.Momentum by itself, cannot be related to Energy.you need the other factor.