************** 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 52.193 m/s
its average velocity is 57.930 m/s

the time it takes the mass to accelerate the 152.4 meters is 2.6309 seconds

its braking force is 5219.3 N
-----------------------------------------
the pipe...
-----------------------------------------
mass = 500 kg
force is 500N
initial velocity is 7.8077 m/s
final velocity is 10.4386 m/s
average velocity is 11.586088965 m/s

the final pipe velocity is 10.4386 m/s

the pipe has now moved a distance of 60.961 meters

the braking force of the pipe is 5219.3 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 52.193 m/s
its final velocity is 63.736 m/s
its average velocity is 66.0178799 m/s

the time it takes the mass to accelerate the 152.4 meters is 2.3086 seconds

its braking force is 6373.6 N
-----------------------------------------
the pipe...
-----------------------------------------
mass = 500 kg
force is 500N
initial velocity is 10.4386 m/s
final velocity is 12.7472 m/s
average velocity is 13.203 m/s

the final pipe velocity is 12.7472 m/s

the pipe has now moved a distance of 91.443 meters

the braking force of the pipe is 6373.6 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.





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