Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem P. 4110. (November 2008)

P. 4110. The horizontal part of the U-shaped tube shown in the figure is 10 cm, and its vertical branches are long enough. The cross section of the tube is 1 cm2. First, 20 cm3 water is poured into the tube, then 20 cm3 oil is poured into the left branch. (\varrho_\text{water}=1000~\frac{\rm kg}{\rm m^3}, \varrho_\text{oil} =800~\frac{\rm
kg}{\rm m^3}). The whole system is accelerated towards the left, at an acceleration of a. Determine and graph the difference between the level of water and the level of oil as a function of the acceleration.

(5 pont)

Deadline expired on December 11, 2008.


44 students sent a solution.
5 points:Boros Csanád Örs, Farkas Márton, Iván Dávid, Laczkó Zoltán Balázs, Lászlóffy András, Lovas Lia Izabella, Maknics András, Mayer Martin János, Tamás Zsolt, Trényi Róbert.
4 points:Farkas Martin, Somogyi József, Szepcsik Áron, Tamási Mátyás.
3 points:13 students.
2 points:3 students.
1 point:9 students.
0 point:4 students.
Unfair, not evaluated:1 solution.

Problems in Physics of KöMaL, November 2008