| Exam Board | AQA |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2009 |
| Session | June |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Work done and energy |
| Type | Energy method - smooth inclined plane (no resistance) |
| Difficulty | Moderate -0.8 This is a straightforward application of conservation of energy with standard formulas. Part (a) is direct KE calculation, part (b) requires equating initial energy plus GPE lost to final KE (one equation, one unknown), and part (c) asks for a modeling assumption. All steps are routine M2 content with no problem-solving insight required. |
| Spec | 3.03f Weight: W=mg6.02d Mechanical energy: KE and PE concepts6.02i Conservation of energy: mechanical energy principle |
2 A slide at a water park may be modelled as a smooth plane of length 20 metres inclined at $30 ^ { \circ }$ to the vertical. Anne, who has a mass of 55 kg , slides down the slide. At the top of the slide, she has an initial velocity of $3 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ down the slide.
\begin{enumerate}[label=(\alph*)]
\item Calculate Anne's initial kinetic energy.
\item By using conservation of energy, find the kinetic energy and the speed of Anne after she has travelled the 20 metres.
\item State one modelling assumption which you have made.
\end{enumerate}
\hfill \mbox{\textit{AQA M2 2009 Q2 [9]}}