| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2015 |
| Session | June |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Hooke's law and elastic energy |
| Type | Particle on inclined plane with friction |
| Difficulty | Standard +0.3 This is a standard M2 work-energy question with friction on an inclined plane. Part (a) requires setting up work-energy equation with friction, weight component, and kinetic energy—routine but multi-step. Part (b) requires recognizing friction reverses direction on descent. Slightly above average due to the two-part nature and careful sign handling, but follows standard M2 templates. |
| Spec | 3.03v Motion on rough surface: including inclined planes6.02i Conservation of energy: mechanical energy principle |
\includegraphics{figure_1}
Figure 1
A particle $P$ of mass 6.5 kg is projected up a fixed rough plane with initial speed 6 m s$^{-1}$ from a point $X$ on the plane, as shown in Figure 1. The particle moves up the plane along the line of greatest slope through $X$ and comes to instantaneous rest at the point $Y$, where $XY = d$ metres. The plane is inclined at an angle $\theta$ to the horizontal, where $\tan \theta = \frac{5}{12}$.
The coefficient of friction between $P$ and the plane is $\frac{1}{3}$.
\begin{enumerate}[label=(\alph*)]
\item Use the work-energy principle to show that, to 2 significant figures, $d = 2.7$ [7]
\end{enumerate}
After coming to rest at $Y$, the particle $P$ slides back down the plane.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Find the speed of $P$ as it passes through $X$. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2015 Q4 [11]}}