Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

Three particles $P$, $Q$ and $R$, with masses $0.1\,\text{kg}$, $0.2\,\text{kg}$ and $0.5\,\text{kg}$ respectively, are initially at rest in a straight line on a smooth horizontal plane. Particle $P$ is sent towards $Q$ with speed $5\,\text{m s}^{-1}$. Once $P$ and $Q$ have collided, $P$ rebounds at speed $1\,\text{m s}^{-1}$. $Q$ then collides with $R$. Immediately after the collision with $Q$, $R$ starts moving with speed $V\,\text{m s}^{-1}$.
(a)[3]

Find the speed of $Q$ immediately after it collides with $P$.

(b)[3]

Given that there is no further collision between $P$ and $Q$, find the greatest possible value of $V$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use conservation of momentum with three terms

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