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David
David
1:58 AM
The problem with Torricelli's law is it only works in a steady state. Considering the m'(0)=0 case forces us to consider what happens before it reaches that steady state. I found a journal article about it but don't have access. "An exact solution to the draining reservoir problem of the incompressible and non-viscous liquid"; should be able to google it. However once we pass that " initial transient region" it works fine.
As far as energy goes, the water in the wagon has an average momentum toward the nozzle. This KE is the source of the wagon's energy. Although, I would reckon that much of it is lost in inelastic collisions. So although energy is not conserved; we are losing energy not gaining it. In order to calculate this energy we would need to know exactly how the water is moving inside the wagon.
 
 
1 hour later…
Sklivvz
Sklivvz
3:21 AM
From the peer reviewed article pointed by @mbq " A water tank is connected to a shower head, so that
water flows out. Water in the pipe that connects the points
marked A and B has a right-pointing momentum, but as long
as that pipe is completely filled with water there is no net
horizontal force on the tank" (the nozzle is on the right)
 
 
9 hours later…
kalle43
kalle43
12:21 PM
How does one know the wagon goes right and then finally left for all m(t) ? And the real m(t) ?
And how the heck does it change direction? Didnt get that part
 

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