Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

Two particles, $P$ and $Q$, with masses $2m\,\text{kg}$ and $m\,\text{kg}$ respectively, are initially at rest on the same vertical line. Their heights above horizontal ground are $1\,\text{m}$ for $P$ and $2\,\text{m}$ for $Q$. $P$ is thrown vertically upward at speed $2\,\text{m s}^{-1}$, and at that same moment $Q$ is let go from rest.
(a)[4]

Find the speed of each particle just before they collide.

(b)[5]

It is stated that straight after the collision, $Q$ has a downward speed of $3.5\,\text{m s}^{-1}$. Find the speed of $P$ at the moment it arrives at the ground.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Application of $s=ut+\tfrac12at^2$ to upward or downward motion

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