Toy cannon · Estonian PhO 2016 #1

Physics · mechanics

Problem

\begin{wrapfigure}[8]{r}{0.5\textwidth} \vspace{-20pt} [image — see PDF] \vspace{-30pt} \end{wrapfigure} A rubber ball is fired out of a toy cannon so that the ball bounces perpendicularly to an inclined surface distanced horizontally LL from the cannon. The ball bounces off from the inclined surface to a distance ll (see figure). Find what fraction of the energy got absorbed during the bounce. The surface’s angle of inclination is α\alpha.

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