Mathematical and Physical Journal
for High Schools
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Problem P. 4355. (May 2011)

P. 4355. ccording to on 1. December 2010 the average daily electrical power demand of Hungary was 5151 MW, but between 7 and 22 hours it was 496 MW greater than this, and in the rest of the day it was 827 MW smaller. If all the electrical energy was generated in nuclear power stations (the power generated by nuclear power plants is constant) then the variation of the power demand could be compensated by pumped-storage hydroelectric power plants. Estimate the size of the water reservoirs that are needed if they are placed to a height of

a) 20 m,

b) 500 m.

(4 pont)

Deadline expired on June 10, 2011.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. \(\displaystyle a)\) \(\displaystyle 1{,}3\cdot10^8~\rm m^3.\)

\(\displaystyle b)\) \(\displaystyle 5{,}3\cdot10^6~\rm m^3.\)


43 students sent a solution.
4 points:Béres Bertold, Bodnár Patrícia, Bolgár Dániel, Csathó Botond, Czipó Bence, Dálya Gergely, Dávid Bence, Fülep Andrea , Gaszler Péter, Horicsányi Attila, Jéhn Zoltán, Jenei Márk, Juhász Péter, Nagy 111 Miklós, Papp Roland, Pataki Bálint Ármin, Pázmán Koppány, Schwarcz Gergő, Simon Sebestyén, Szilágyi András, Tamási Mátyás, Vuchetich Bálint, Zsámboki Richárd.
3 points:Agócs Fruzsina, Alcer Dávid, Bingler Arnold, Gróf Gábor, Horváth Dániel, Károlyi Áron, Pázmán Zalán, Sárvári Péter, Sisák Mária Anna, Székely Eszter.
2 points:7 students.
1 point:2 students.
Unfair, not evaluated:1 solution.

Problems in Physics of KöMaL, May 2011