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Mathematics 10 Online
OpenStudy (kainui):

How do you move a stationary object?

OpenStudy (rayep12):

u push it, throw something at it

OpenStudy (kainui):

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...

OpenStudy (worldunseen):

You apply a FORCE to it.

OpenStudy (kainui):

Yeah, but how do you apply a force to begin with?

OpenStudy (itz_sid):

Use the force of gravity lol

OpenStudy (worldunseen):

Multitude of ways. Gravity, applied force by various things and objects, elastic force, spring force, etc.

OpenStudy (kainui):

Yeah but how do you create a force to begin with?

OpenStudy (worldunseen):

@Kainui using energy

ganeshie8 (ganeshie8):

to change v, you must put a to change a, you must put a' ...

OpenStudy (kainui):

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.

OpenStudy (kainui):

yeah exactly @ganeshie8 understand what I am saying.

OpenStudy (kainui):

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'. ...

ganeshie8 (ganeshie8):

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 ? \[\sum F = ma\]

ganeshie8 (ganeshie8):

(where "a" can vary over time..)

OpenStudy (kainui):

Yeah Newton's laws are only for inertial reference frames, with constant velocity I'm pretty sure but maybe not.

ganeshie8 (ganeshie8):

Yeah I'm considering only inertial reference frames

OpenStudy (kainui):

Well I don't know I feel like this means it's technically impossible to shift between different reference frames then.

ganeshie8 (ganeshie8):

Objects can have varying acceleration and this shouldn't cause any problem in shifting between inertial frames, right ?

OpenStudy (kainui):

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.

imqwerty (imqwerty):

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

OpenStudy (jiteshmeghwal9):

Telekinesis

OpenStudy (baru):

: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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