Problem P. 4786. (December 2015)
P. 4786. There are three point-like objects in space - far from any other objects - such that their initial velocities are zero, and the distance between any two is the same \(\displaystyle d\). Two of the objects have the same mass of \(\displaystyle m\), and the mass of the third one is \(\displaystyle 2m\). Due to the gravitational force the objects begin to move and they collide with each other.
\(\displaystyle a)\) How much distance do they cover until they meet?
\(\displaystyle b)\) How much time elapses until the collision of the objects?
Deadline expired on January 11, 2016.
35 students sent a solution. 5 points: Asztalos Bogdán, Balogh Menyhért, Bartók Imre, Blum Balázs, Csenger Géza, Csuha Boglárka, Forrai Botond, Ghada Alshalan, Iván Balázs, Kasza Bence, Kovács Péter Tamás, Krasznai Anna, Németh 777 Róbert, Németh Flóra Boróka, Páhoki Tamás, Sal Kristóf, Szabó 199 Márton, Szentivánszki Soma , Tóth Adrián, Varga-Umbrich Eszter, Wiandt Péter. 4 points: Di Giovanni András, Jakus Balázs István, Juhász 326 Dániel, Olosz Adél, Szick Dániel, Szőke Dániel, Tomcsányi Gergely. 3 points: 1 student. 2 points: 3 students. 1 point: 2 students. 0 point: 1 student.