Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

Two particles $A$ and $B$ have masses $km$ and $m$ respectively, where $k$ and $m$ are constants, and are free to move in a straight line on a smooth horizontal plane. Particle $A$ is projected towards $B$ with speed $2u$ and, at the same instant, $B$ is projected towards $A$ with speed $u$. The particles collide. After the collision, $A$ moves with speed $u$ and both particles travel in the same direction as $A$ was originally moving. It is given that $35\%$ of the total kinetic energy is lost in the collision.
(main)[8]

Find the speed of $B$ after the collision, in terms of $u$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Conservation of linear momentum gives $km(2u)-mu=kmu+mv_B$

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