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...but am also now mildly interested in what an animadversion is. I've not come across that before (quick google) ... Ah, criticism!
Thank you John. Btw, I am aware that if one uses duration of a GR time dilated second to calculate the speed of light via, then it could be said that light slows down closer to mass, as a time variant, not a speed variant.
This is of course interesting to me, but despite your description of momentum, I am no closer to an explanation of 'why' p is being used in the maths.
...my question arising from Janus's answer is very specific, and having had the title question answered by Janus, the question I am asking now is specifically as I state and it is that and nothing else that I require an answer to, at this time.
Momentum is nothing more or less than the product of mass times velocity. Since mass is a scalar and velocity is a vector, momentum is a vector.The importance of momentum is that it is conserved.
So if the momentum of a body is conserved then this means there is no external force acting upon it.So - no matter if p is derived by:p = mvorp= h*vbarwhere h is Planck's h constant and:vbar = v/aorp = hbar*kwhere hbar is:hbar = h/2piand k is angular velocity...What is the physical action being described when we see p in the maths such as:Wavelength = h/p...If momentum is conserved, what is it that is causing momentum and what resulting physical action is being described by it?
Can someone please describe to me in words what the physical cause of momentum is, and what the resulting action does?
...If momentum is conserved, what is it that is causing momentum and what resulting physical action is being described by it?
Quote from: timey on 06/03/2017 19:26:41Can someone please describe to me in words what the physical cause of momentum is, and what the resulting action does?That's a very odd question. Momentum isn't an effect, so it doesn't have a cause, any more than velocity, spin, (1,2,3), or "one mile north" is an effect - they are vectors. Nor does momentum have a "resulting action". It is the product of mass and velocity and is therefore a property - indeed the property - of a moving body. As Newton pointed out, the effect of a force is to change momentum, F = dp/dt, so you might say that the cause of momentum is the integral of force over time, but that's a bit abstract in the absence of a source of force - it's more of a definition than a causal relationship.
"A physical property is any property that is measurable, whose value describes a state of a physical system. The changes in the physical properties of a system can be used to describe its transformations or evolutions between its momentary states."
a function of which a given function is the derivative, i.e. which yields that function when differentiated, and which may express the area under the curve of a graph of the function."
Therefore a means of describing a causal force for an accelerating velocity, and therefore an escalating momentum, is to state mass as becoming greater as it falls.This means of a description being the reason for relativistic mass, (and/or the mass energy equivalence?)+ velocity = + kinetic energy = + mass = + velocity
p = mvSo if you have 100kg cannonball and a 10kg cannonball, then despite the fact that v at each moment in time is equal for both cannonballs in free fall, p will be vastly differing...So this basically means that it will take a greater force to stop the 100kg cannon ball than it will to stop the 10kg cannonball.
Or - that if the cannonballs were to each free fall onto a trampoline, that the 100kg cannonball would bounce higher than the 10kg cannonball.
F = m*aSo - acceleration is also equal for both cannonballs in free fall, but because m value is differing for each cannonball, F will also be differing for each cannonball.But - increasing force tends to increase acceleration, while increasing mass tends to decrease acceleration.This suggests that the gravitational body M exerts more force on the 100kg cannonball than the 10kg cannonball, but because the 100kg cannonball is heavier it's acceleration to force ratio is lesser.And - that the gravitational body M exerts less force on the 10kg cannonball, but because the 10kg cannonball is lighter it's acceleration to force ratio is greater.And we end up withF/m = afor both cannonballs, this resulting in an equal value of acceleration for both. ie: free fall.Therefore a means of describing a causal force for an accelerating velocity, and therefore an escalating momentum, is to state mass as becoming greater as it falls.
This means of a description being the reason for relativistic mass, (and/or the mass energy equivalence?)+ velocity = + kinetic energy = + mass = + velocity(remembering that potential energy doesn't affect relativistic mass)However we also see that+ mass = - accelerationWhereF/m = aand therefore this regulates velocity and serves to ensure the universal speed limit of the speed of light.(For everything apart from the fabric of space)
a = change in velocity/timeandp = mvwhere value of p escalates as value of a escalates.Therefore can it not be said that the cause of p is a?And that the cause of a is F?Resulting in +m (or -m concerning escape velocity) being the cause of F?