I found a flaw in my calculations , that gave incorrect numbers above.
the flaw is now corrected and I am posting the corrections.

************** the second cycle ***********************

the 100 kg mass is accelerated at 5 m/s/s with the 500 N force.

for a distance of 152.4 meters.
-----------------------------------------
the mass...
-----------------------------------------
its initial velocity is 39.0385 m/s
its final velocity is 55.209 m/s
its average velocity is 47.12375 m/s

the time it takes the mass to accelerate the 152.4 meters is 3.2341 seconds

its braking force is 5520.9 N
-----------------------------------------
the pipe...
-----------------------------------------
mass = 500 kg
force is 500N
initial velocity is 7.8077 m/s
final velocity is 11.0418 m/s
average velocity is 9.42475 m/s

the final pipe velocity is 11.0418 m/s

the pipe has now moved a distance of 60.96067362 meters

the braking force of the pipe is 5520.9 N

**************** the third cycle ***********************

the 100 kg mass is accelerated at 5 m/s/s with the 500 N force.

for a distance of 152.4 meters.
-----------------------------------------
the mass...
-----------------------------------------
its initial velocity is 55.209 m/s
its final velocity is 67.617 m/s
its average velocity is 61.413 m/s

the time it takes the mass to accelerate the 152.4 meters is 2.4816 seconds

its braking force is 6761.7 N
-----------------------------------------
the pipe...
-----------------------------------------
mass = 500 kg
force is 500N
initial velocity is 11.0418 m/s
final velocity is 13.5234 m/s
average velocity is 12.2826 m/s

the final pipe velocity is 13.5234 m/s

the pipe has now moved a distance of 91.44117378 meters

the braking force of the pipe is 6761.7 N


with each cycle the mass will be accelerated faster and faster
which in turn will accelerate the pipe faster and faster.

using only 1 mass is stupid but it seems to allow for your understanding
that the pipe will move as I stated , using a constant acceleration of masses
would be the ideal method to accomplish a smoother acceleration.

WOW , just think kallog in a few more cycles the mass will
require less than 2 seconds for acceleration , and your 4 second requirement for the mass to pass through the 2 turnarounds would make the concept , non working...

must be nice to just pick a time requirement out of thin air to use in your favor in a discussion.

using 20 sets of tubes with 1 mass in each

in 1 year the pipe could travel a distance of
5.2 trillion miles.

using 40 sets

in 1 year the pipe could travel a distance of
10.43 trillion miles.

hey thats over 330,000 miles /second.

The speed of light is 186,000 miles per second

which can cut the 1 year travel time of
5.2 trillion miles in half to 6 months.













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3/4 inch of dust build up on the moon in 4.527 billion years,LOL and QM is fantasy science.