No, I assure you I'm not bluffing. If it's that easy you should name the amount, and we'll put up the money.
I don't care.
You cannot do it by dint of your knowledge. nor refute my other claims. The cart cannot make progress up the belt. Your treadmill is false.
ETA:
Here they are:
The belt rim and belt move in opposition, so the velocity w.r.t the ground is zero. It does not accelerate, so its KE is zero.
The cart can only advance by increasing its angular velocity w.r.t. the belt, but it cannot do so, because that is determined by the belt. It cannot move.
Bluff or bet your way out of that.
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