Mathematical and Physical Journal
for High Schools
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# Problem P. 3837. (November 2005)

P. 3837. A wooden planck of mass m stays at rest on a horizontal surface (see the figure). A pointlike object of mass m moves along the horizontal surface with a speed of , and slides onto the circular part of the planck, than flies off (friction is negligible).

a) Find the velocity of the planck after the pointlike object left it.

b) Find the greatest height to which the pointlike object ascends.

(5 pont)

Deadline expired on December 12, 2005.

### Statistics:

 95 students sent a solution. 5 points: Almási 270 Gábor András, Beck Zoltán, Csányi Róbert, Csire Gábor, Deli Gábor, Dudás János, Enczel Dávid, Engedy Balázs, Erdély Attila, Filep Tamás, Hlatky Dávid, Horváth 795 Andrea, Iván Dávid, Konczer József, Kónya 495 Gábor, Lovas Lia Izabella, Mándi Gábor, Matulik Gábor, Nagy 317 Péter, Nyíri Dávid Ákos, Pásztor Árpád, Pásztor Attila, Pósa László, Szabó 679 Dániel, Szaller Dávid, Széchenyi Gábor, Szilágyi Zsombor, Szolnoki Lénárd, Szük Dániel, Takátsy Balázs, Tűri Balázs, Varga 894 Judit, Werner Miklós. 4 points: Blázsik Zoltán, Nagy 224 Csaba, Roósz Gergő, Tüzes Dániel. 3 points: 6 students. 2 points: 8 students. 1 point: 24 students. 0 point: 20 students.

Problems in Physics of KöMaL, November 2005