How do you move a stationary object?
u push it, throw something at it
I would think to move it I change the velocity. So I have to apply an acceleration to it. But currently the object is not accelerating so I will have to change the acceleration. But it's change in its acceleration is not changing so I must change that too...
You apply a FORCE to it.
Yeah, but how do you apply a force to begin with?
Use the force of gravity lol
Multitude of ways. Gravity, applied force by various things and objects, elastic force, spring force, etc.
Yeah but how do you create a force to begin with?
@Kainui using energy
to change v, you must put a to change a, you must put a' ...
I feel like I'm sorta stuck in an infinite regress like a zeno paradox kind of situation here, I don't think that 'energy' answers it because it's sorta tautological I feel.
yeah exactly @ganeshie8 understand what I am saying.
To clarify in case it's actually different: To change v, you must put a. But putting a is changing the current a. To change a, you must put a'. But putting a' is changing the current a'. ...
I think we surely have that paradox, but doesn't newton stop this at the level of acceleration by equating sum of forces to ma ? \[\sum F = ma\]
(where "a" can vary over time..)
Yeah Newton's laws are only for inertial reference frames, with constant velocity I'm pretty sure but maybe not.
Yeah I'm considering only inertial reference frames
Well I don't know I feel like this means it's technically impossible to shift between different reference frames then.
Objects can have varying acceleration and this shouldn't cause any problem in shifting between inertial frames, right ?
From Taylor's theorem we have: \[x(t) = \sum_{n=0}^\infty \left(\frac{d^n x}{dt^n} \right)_{t=0} \frac{t^n}{n!}\] So it seems like really truly in general every position is only a sum of what happens after you know ALL the initial higher derivatives of position. They only become negligible because t is usually small and n! is really large I think. That's my take on the situation so far, it's just an approximation.
Moving is a relative phenomena :p if u start moving then the stationary object is moving with respect to you without you applying any force on it
Telekinesis
:P i was about to say zenos paradox... Maybe quantum physics deals with this paradox? something like momentum can only be imparted in finte discreet packets perhaps...? when you say : it seems like really truly in general every position is only a sum of what happens after you know ALL the initial higher derivatives of position. They only become negligible because t is usually small.... i think this is an instance of a gap between a mathematical theory and the actual phenomenon... i think that the use of calculus is the approximation...
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