| Exam Board | WJEC |
|---|---|
| Module | Further Unit 3 (Further Unit 3) |
| Session | Specimen |
| Marks | 12 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Momentum and Collisions |
| Type | Coalescence collision |
| Difficulty | Standard +0.3 This is a standard Further Maths mechanics question on conservation of momentum and energy. Part (a) is direct application of momentum conservation, part (b) requires calculating kinetic energies with discussion of assumptions (standard for this topic), and part (c) uses work-energy principle. While it's a multi-part question requiring careful working, all techniques are routine for Further Maths students and no novel insight is needed—slightly easier than average A-level difficulty overall. |
| Spec | 6.02d Mechanical energy: KE and PE concepts6.03b Conservation of momentum: 1D two particles |
By burning a charge, a cannon fires a cannon ball of mass 12 kg horizontally. As the cannon ball leaves the cannon, its speed is 600 ms$^{-1}$. The recoiling part of the cannon has a mass of 1600 kg.
\begin{enumerate}[label=(\alph*)]
\item Determine the speed of the recoiling part immediately after the cannon ball leaves the cannon. [3]
\item Find the energy created by the burning of the charge. State any assumption you have made in your solution and briefly explain how the assumption affects your answer. [5]
\item Calculate the constant force needed to bring the recoiling part to rest in 1.2 m. State, with a reason, whether your answer is an overestimate or an underestimate of the actual force required. [4]
\end{enumerate}
\hfill \mbox{\textit{WJEC Further Unit 3 Q1 [12]}}