Sure.
The energy of the wind is less than the energy you claim is used by the cart. It is not because of losses,
Wrong, the energy "used" by the cart is precisely the energy lost by the cart plus the KE gained by the cart.
In this case, in an FOR where the ground is stationary, the losses amount to:
86 J/s to aerodynamic drag;
437 J/s to rolling resistance;
365 J/s to losses in the drive train, and;
724 J/s to aerodynamic losses at the propeller. For a total of
1612 J/s, in losses
And with a net force of 50 newtons the cart will accelerate by 50 N / 295 kg = .17 m/s in one second, from 11.62 m/s to 11.79 m/s.
.5 * 295 * 11.62
2 = 19916 J
.5 * 295 * 11.79
2 = 20503 J
For a gain of 587 J
Giving a total energy used by the cart of 2199 J in one second. Close enough to the 2189 J lost by the air with all the rounding errors.
That's how the energy balances.
Javaprop applies to propellers driven by an engine.
It applies to propellers regardless of how they are driven.
You will not find any sign of the prop shaft taking energy from the wind.
That's good, because it is all taken linearly, along the axis of the shaft.
The only source of energy coming in, is the KE of the wind flow, and you are claiming to exceed that.
nope, I'm only claiming 2189 J out of the 3209 J it started with.
The cart does not work as described, because that would be over unity.
Yes it does, and no it wouldn't.