Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

Particles $P$ and $Q$, whose masses are $0.2\text{ kg}$ and $0.1\text{ kg}$ respectively, can move freely along a straight line on a smooth horizontal plane. $P$ is launched towards $Q$ with speed $5\text{ m s}^{-1}$. At the same instant, $Q$ is launched away from $P$ with speed $2\text{ m s}^{-1}$. When $P$ collides with $Q$, the particles coalesce.
(main)[4]

Calculate the kinetic energy lost during the collision.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use conservation of momentum: $0.2\times5+0.1\times2=(0.2+0.1)v$

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