| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2013 |
| Session | June |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Motion on a slope |
| Type | Coefficient of friction from motion |
| Difficulty | Standard +0.3 This is a standard M1 mechanics question requiring application of SUVAT equations (parts a-b) followed by resolving forces on an inclined plane with friction (part c). While it involves multiple steps and combining kinematics with dynamics, the techniques are routine and well-practiced in M1, making it slightly easier than average for A-level overall but typical for mechanics modules. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03r Friction: concept and vector form3.03v Motion on rough surface: including inclined planes |
\includegraphics{figure_3}
A particle $P$ of mass 0.6 kg slides with constant acceleration down a line of greatest slope of a rough plane, which is inclined at 25° to the horizontal. The particle passes through two points $A$ and $B$, where $AB = 10$ m, as shown in Figure 3. The speed of $P$ at $A$ is 2 m s$^{-1}$. The particle $P$ takes 3.5 s to move from $A$ to $B$. Find
\begin{enumerate}[label=(\alph*)]
\item the speed of $P$ at $B$, [3]
\item the acceleration of $P$, [2]
\item the coefficient of friction between $P$ and the plane. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2013 Q5 [10]}}