Mathematical and Physical Journal
for High Schools
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# Problem P. 3947. (January 2007)

P. 3947. A spiral spring of negligible mass and spring constant D lies un-stretched on a smooth horizontal plane. Its length is l0, and one of its end is fixed to a vertical axle, while the to other a point-like disc of mass m is attached. Another disc of mass m collides elastically with the disc attached to the spring. The initial velocity of the moving disc is v and is perpendicular to the axis of the spring. Find the smallest radius of curvature of the path of the disc attached to the spring. Data: D=64 N/m, l0=1 m, m=0.5 kg, v=8 m/s.

(5 pont)

Deadline expired on February 12, 2007.

### Statistics:

 39 students sent a solution. 5 points: Almási 270 Gábor András, Almasi Susann Melinda, Balogh Máté, Blázsik Zoltán, Deli Gábor, Farkas Ádám László, Fülöp Bálint, Hlatky Dávid, Lovas Lia Izabella, Nyíri Dávid Ákos, Pálovics Róbert, Roósz Gergő, Szilágyi Zsombor, Szolnoki Lénárd, Tolner Ferenc, Tüzes Dániel, Varga Bonbien. 4 points: Horváth Bence, Megyeri Balázs, Nagy 224 Csaba, Pásztor Árpád. 3 points: 1 student. 2 points: 8 students. 1 point: 6 students. 0 point: 1 student. Unfair, not evaluated: 2 solutionss.

Problems in Physics of KöMaL, January 2007