4 ms·
If I think straight, the initial potential energy in a column of liquid would be the integration of mgh (actually integration of density * g * section * height)
by Karto 6y ago
If I think straight, the initial potential energy in a column of liquid would be the integration of mgh (actually integration of density * g * section * height), therefore mgh/2 at the beginning of the situation. Or said intuitively : the center of gravity of the column at half its height.
But obviously, even with this 1/2, your relation after dividing between two tanks still holds. :)
- thomasahle 6y agoI was thinking that too, the initial potential energy should be proportional to h^2/2. However then we still have 2*(h/2)^2/2 = h^2/4.
- Karto 6y agoYes, one h is hidden inside m... Ending up with energy = something * h^2 actually makes the relationship show the same face as the one for capacitors, where energy = something * v^2.
- unkulunkulu 6y ago* where h = half the water level in the first barrel.
- sirusdas 6y agoGood observation!