The accelerator provides twice as much force the 2nd time round? OK that's fine. But it means the turnarounds also provide even more force:

No kallog the the total acceleration of THE PIPE increses

each cycle.

the same force is used ie...

2nd cycle the pipe total acceleration increases from

a lower total acceleration to a higher total acceleration.

because the mass accelerates to a higher velocity each cycle.

I dont think I have used the term "speed" so far other than

while trying to convince you that the direction of the mass will not accelerate the pipe , what will accelerate the pipe is the force that is placed on the pipe.

you have never added a direction to velocity , normaly

when you see velocity written down you do not also see

a direction.

ie

50 m/s/north

50 miles per hour/south

so since you insist on using direction from now on

we will attach a direction as we discuss movement.

we will use north and south and left and right

when talking about the moving mass and the moving pipe.

and we will say that the mass is

initialy accelerated north.

then turns left

then travels south without acceleration

then turns right

then is accelerated north again.

this way we can both use a more correct description of velocity.

ie...

accelerated from 0 m/s to 50 m/s/North

50 m/s/Left

50 m/s/South

50 m/s/Right

accelerated from 50 m/s/North to 100 m/s/North

100 m/s/Left

100 m/s/South

100 m/s/Right

etc...etc...etc...etc...

so were both guilty of using velocity the normal way

which is the wrong way , its just that you seem to want to make an issue of it , so in this discussion I will adapt to

the new terms.

if you have used velocity the right way in this or any other discussion in this forum , please post a link so that we can see.

I'm really sure this is a big part of your consistent failure to understand anything I write.

if so then it is also a big part of your consistent failure to understand anything I write.

The accelerator provides twice as much force the 2nd time round? OK that's fine. But it means the turnarounds also provide even more force:

+2 accelerator.

-3 1st turn.

+3 2nd turn.

according to the above (calculation?) of yours the turnaround accelerates the mass even faster because

you show -3 in turn #1 plus +3 in turn #2

that are the result of the +2 force from acceleration.

even so adding up +2 plus -3 plus +3 shows pipe acceleration. because you end up with +2

but I am curious how you determned that the turnaround adds force , please explain this fantasy of yours , how does the turnaround provide even more force?

and while your explaining please use math.

instead of just picking numbers and forces out of thin air.

but just think kallog if your right then you have discovered another way to produce free energy !! you could capture that extra fantasy force and use it , you still have your original force.

I think you have a extreme lack of the understanding of force and motion