Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem P. 4850. (May 2016)

P. 4850. The mass of a small ball is 5 g, and its diameter is 4 cm. The ball is hit upward at a speed of $\displaystyle 10~\frac{\rm m}{\rm s}$ in the air which has a temperature of $\displaystyle 20~{}^\circ$C and a pressure of 1 bar. Calculate with approximations the followings:

$\displaystyle a)$ the height to which the ball ascends;

$\displaystyle b)$ the time during which the ball arrives back to its initial position;

$\displaystyle c)$ the speed of the ball when it gets back to its initial position.

(6 pont)

Deadline expired on June 10, 2016.

Statistics:

 18 students sent a solution. 6 points: Asztalos Bogdán, Balogh Menyhért, Blum Balázs, Di Giovanni András, Elek Péter, Fehér 169 Szilveszter, Forrai Botond, Iván Balázs, Kasza Bence, Kovács Péter Tamás, Körmöczi Dávid, Marozsák Tóbiás , Olosz Adél, Sal Kristóf. 5 points: Páhoki Tamás, Szentivánszki Soma . 4 points: 1 student. 2 points: 1 student.

Problems in Physics of KöMaL, May 2016