Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

Particles $P$ and $Q$, with masses 3 kg and 5 kg respectively, start from rest on a smooth horizontal plane. $P$ is then projected directly towards $Q$ at a speed of $4\text{ m s}^{-1}$. After the collision, $P$ moves with speed $1\text{ m s}^{-1}$.
(a)[3]

Determine the two possible speeds of $Q$ after the collision.

(b)[2]

It is stated that $\lambda$ J of kinetic energy, where $\lambda > 0$, is lost in the collision. Find the value of $\lambda$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $3\times4=3\times(-1)+5v$ OR $3\times4=3\times1+5v$

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