Mathematical and Physical Journal
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# Problem P. 4685. (December 2014)

P. 4685. The object of mass $\displaystyle M=4m$, shown in the figure can freely slide along the horizontal. The curved part of its surface is horizontal at its right side. A small body of mass $\displaystyle m$ is placed to the object of mass $\displaystyle M$ at a height of $\displaystyle H$, measured from the horizontal tabletop, and then the system is released. When the small object of mass $\displaystyle m$ hits the table the two objects are at a distance of $\displaystyle d=0.6$ m. Friction is negligible everywhere and $\displaystyle h=0.2$ m.

$\displaystyle a)$ What are the speeds of the two objects at the moment when the small one of mass $\displaystyle m$ leaves the big one of mass $\displaystyle M$?

$\displaystyle b)$ At what speed does the small object hit the table?

$\displaystyle c)$ Calculate the height $\displaystyle H$.

(4 pont)

Deadline expired on January 12, 2015.

### Statistics:

 97 students sent a solution. 4 points: 64 students. 3 points: 21 students. 2 points: 9 students. 1 point: 3 students.

Problems in Physics of KöMaL, December 2014