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P. 4469. Two balls of masses m1 and m2 are hanged at the same point, with threads of equal lengths, and displaced towards the left and the right with the same angle measured from the vertical. They are both released at the same moment, and collide totally inelastically. The positions of the balls are described by their height above the horizontal plane which is through the lowest point of their paths. (Air resistance is negligible.) Give the ratio of the greatest height reached by the balls after the collision to the initial height.

(4 points)

Deadline expired on 12 November 2012.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldásvázlat.

$\displaystyle h_1=\left( \frac{m_1-m_2}{m_1+m_2} \right)^2 h_0.$

Statistics on problem P. 4469.
 167 students sent a solution. 4 points: 142 students. 3 points: 17 students. 2 points: 4 students. 1 point: 2 students. 0 point: 2 students.

• Problems in Physics of KöMaL, October 2012

•  Támogatóink: Morgan Stanley