Mathematical and Physical Journal
for High Schools
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Problem P. 4374. (October 2011)

P. 4374. In a garden a spherical sprinkler is used at the end of the hose, from which the speed of the flowing water is the same to every direction. The water beam which is directed vertically upward reaches a height of h. Once the sprinkler is placed to the ground and at another time to a height of h. By what factor will the watered area be greater in the second case? (Neglect air resistance and consider the pressure in the sprinkler constant.)

(5 pont)

Deadline expired on November 10, 2011.

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

Megoldás. A földre helyezett locsolófej $\displaystyle 2h$, a felemelt fej $\displaystyle \sqrt{8}h$ távolságra tud öntözni; a megöntözött területek arány $\displaystyle 1:2$.

Statistics:

 122 students sent a solution. 5 points: Adrián Patrik, Agócs Fruzsina, Antalicz Balázs, Balogh Tamás, Barta Szilveszter Marcell, Bolgár Dániel, Csáky Pál, Cseke Zsombor, Czigány Máté Gábor, Czipó Bence, Dálya Gergely, Dinev Georgi, Emri Tamás, Fehér Zsombor, Filep Gábor, Géczi Péter Attila, Horicsányi Attila, Horváth Dániel, Janzer Barnabás, Janzer Olivér, Jenei Márk, Juhász Péter, Kaposvári Péter, Kollarics Sándor, Kovács 444 Áron, Mázik László, Morvay Bálint, Nagy Lajos, Park Choong Eun, Pataki Bálint Ármin, Sápi András, Sárvári Péter, Seress Dániel, Simig Dániel, Sisák Mária Anna, Szabó 928 Attila, Székely Eszter, Szélig Áron, Szép András Jenő, Szép Márton István, Tilk Bence, Tossenberger Tamás, Ürge László, Varga 555 Dávid, Zsiros Ádám. 4 points: 48 students. 3 points: 19 students. 2 points: 5 students. 1 point: 2 students. 0 point: 2 students. Unfair, not evaluated: 1 solution.

Problems in Physics of KöMaL, October 2011