Mathematical and Physical Journal
for High Schools
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Problem P. 4247. (April 2010)

P. 4247. As the figure shows, a small object is dropped to a fixed, frictionless slope of angle of elevation =30o from a height h. The time of the fall is t1. After a totally inelastic collision the object slides down the slope. It covers the same distance s=h on the slope during the time t2. Determine the ratio of t1/t2.

(4 pont)

Deadline expired on May 10, 2010.

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

Megoldás. $\displaystyle t_1/t_2=(\sqrt{3}+1)/2\approx1,\!37$.

Statistics:

 109 students sent a solution. 4 points: Balogh Gábor, Barta Szilveszter Marcell, Batki Bálint, Béres Bertold, Béres Orsolya Katalin, Bodosi Eszter, Fekete Károly, Filep Gábor, Fonai Dániel, Fülep Andrea , Galzó Ákos Ferenc, Győrfi 946 Mónika, Hartstein Máté, Janosov Milán, Kánvási Dániel, Kaposvári István, Kerti Dávid, Kollarics Sándor, Kovács 616 Philip, Kungl Ákos Ferenc, Laczkó Zoltán Balázs, Lájer Márton, Mayer Martin János, Miskó Gergely, Neumer Tamás, Para Attila, Pázmán Koppány, Rácz Viktor, Réti Dávid, Sápi András, Szabó Bence, Szélig Áron, Szentgyörgyi 994 Rita, Takács 737 Gábor, Virág Máté, Wirnhardt Bálint. 3 points: Koncz Gabriella. 2 points: 5 students. 1 point: 56 students. 0 point: 11 students.

Problems in Physics of KöMaL, April 2010