No, it cannot, "push back" in that sense. You could say, that it reacts to being accelerated, by "not accepting" the force, but that only puts you back to the same rate of acceleration that the calculations indicate.
Umm... NO. The propeller
literally pushes the air backwards. That's why the propeller is geared to the wheels, so it
can push the air
backwards.
You pointed out my initial mistake, because the correct law says that your acceleration will be 1/4.
Only if you're assuming that the force applied to the cart is the same.
If the medium pushing it has a constant velocity, and the cart is applying force to push
back on the medium (in order to push itself forwards), then the medium is applying
more force to the cart then it otherwise would.
Not that the rate of acceleration has any bearing on the matter, just the terminal velocity.
I don't know how you are doing your calculations, but it is simple.
Do you agree, that the work is proportional to the amount of KE transferred to a given mass at a given velocity? E= 1/2mv2.
So 2V means 4E. That is the same for a 1:1 as a -1/2:1.
You can express that as differences in force, time, work, power or acceleration, but in the end it will be 4E. They are not my rules, Brian_M.
The amount of force applied to a regular cart by the wind diminishes to zero as it approaches wind speed.
The amount of force applied to a DDWFTTW diminishes to zero as it approaches (WindSpeed + BackwardSpeedOfPropeller).
Consequently, the DDWFTTW device recieves greater force from the wind over a longer distance than a regular cart.
As Work = Force x Distance, this means the DDWFTTW will have more kinetic energy than a regular cart.
If the carts are the same mass, and one has more kinetic energy, then it will be travelling faster. The wind supplies the cart with more kinetic energy than a 1/1 cart, which makes the cart go faster than a 1/1 cart. What's so confusing about that?
No, you are mixing up two ideas there. The question of the cart being driven by a conveyer, is different from that of a cart going faster than the driving medium, such as air.
Please explain how these two ideas are different.
If the cart being pushed by the overhead conveyer had poor traction between the top wheel and the belt, how would this be any different than the propeller cart? What forces would be different?