#### TheTreeSpyder

##### Participating member

- Location
- Florida>>> USA

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Force needs equal and opposite to express against, or is just falling/displacing distance as Dan said, otherwise is displacing against space not force. Displacement is key term to use, think of like from engine world, more displacement takes more energy. Energy can be stored(even as fuel) or else used to displace against space/distance or other force(or compound mix of both). Note that in either case, space OR FORCE, must pre-exist, to then be expressed against.

Energy=mcSQUARED is still the basic form here i think.

Speed is SQUARED factor then of most relevance. i look at speed Squared as the dynamic part, and the Mass as the static part to make the whole of the scenario. Discussion is more about how that total sum of energy can be used/expressed (rather than stored) i think; to displace against other space or force with the force expressed against them.

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__Thumbrule:__The length displacement of CoG formula works fair to about 8-10 feet they say; but is an approximation, bird's eye view of the worx. But still only a peek under the door trying to see the whole world of this on the other side. Thumbrule formula has the 2 factors, static (1 unit of self) and dynamic(1 unit of self per foot) elements to me. But speed is ever increasing until Terminal Velocity of air friction equaling mass/can't continue acceleration. So the thumbrule worx in the lowest/slowest accelerations rite off the starting line, but really not much further as things really gets going. Speed is that important and ever increasing in this importance until terminal velocity.

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__Relevance of Speed Models:__Shoulder/arm is 3rd class lever, so longer is LESS power, so choking up on hammer handle until right under head gives GREATER leverage, when simple static press on a scale. Grip far end of handle and can press LESS leverage STATIC press on common weight scale. BUT a speed of the hit as DYNAMIC force, from the less leveraged, as more arc in same amount of time OUTPUT(so also diluting force, not concentrating it), gives the devastation from the speed squared as it trumps equation sum larger in spite of the leveraged decrease LOSS of the more static expression of the leverage x mass.

also model:

A matching vehicle of 2x more mass in a head on collision will over rule the lighter vehicle @ matching speeds. But if lighter is later moving 2x as fast, will walk thru the heavier with about double devastation greater beating to heavier that the heavier gave the lighter with at matching speed.

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__Friction:__The calculation of friction is on arcs, compounded with the same formulae base as compound interest, population growth, disease spread etc. from Euler's number (log. of 1) with an exponent of:

Flat, linear friction table for the mated surfaces(nylon on aluminum etc.) X PI X number of 180 arcs collectively.

So in my mind flat/linear CoF converted to radial by multiplying by PI, then the amount of arc units as exponent. Spreadcheat link.

Distance and force are 'antagonistic reciprocals' to me, as one is used to overtake the other to the sum total of energy expressed/not saved from the pool of energy in the shituation. That worx funneling forceDistance into or out of the work fair/square. Deacceleration can be started at what we call impact that is really a moment, where deacceleration is more a range started from that moment actually as i think Mitch tries to lend; just as acceleration can not be a single moment, needs at least another moment to show change over range. This can be hit transfer or heat conversion (from frictions and elastics) but all changes and continuances can be mathematically accounted for to the same sum as input into this phase. Braking distance/ deacceleration distance is as to acceleration distance, everything must always be fair/square backwards and forwards to same balanced equation.

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Eastern philosophy says to be as water flow, for you only incur the force you resist(rest travels past you).

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Force, is force; E=mcSQUARED is just shown here as expressed in physical forces.

And prevails so importantly over all, this even works in electricity as:

Total watts of power = Resistance x Amps SQUARED

so R is the static 'weight' against movement in the device/line, and A is the SPEED, dynamic part of the force,

so again even here E=mcSQUARED prevails across physical and electric forces as it does the rest; that are just different translations/expressions of same principle.

Electric example not shown to confuse, but rather reveal the persistence of the formulae and also what i look at as also the persistence of the static and dynamic components as well, to be the main focuses.