| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2012 |
| Session | January |
| Marks | 14 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Motion on a slope |
| Type | Motion with applied force on slope |
| Difficulty | Standard +0.3 This is a standard M1 mechanics problem involving forces on a slope with friction. Part (a) requires resolving perpendicular to the plane, part (b) uses friction = μR with constant velocity (equilibrium), and part (c) applies SUVAT equations after finding the new acceleration. All steps are routine applications of well-practiced techniques with no novel insight required, making it slightly easier than average. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.03e Resolve forces: two dimensions3.03i Normal reaction force3.03r Friction: concept and vector form3.03s Contact force components: normal and frictional3.03t Coefficient of friction: F <= mu*R model3.03v Motion on rough surface: including inclined planes |
8.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{724254f3-3a6a-4820-b3a1-979458e24437-13_334_538_219_703}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{center}
\end{figure}
A particle $P$ of mass 4 kg is moving up a fixed rough plane at a constant speed of $16 \mathrm {~ms} ^ { - 1 }$ under the action of a force of magnitude 36 N . The plane is inclined at $30 ^ { \circ }$ to the horizontal. The force acts in the vertical plane containing the line of greatest slope of the plane through $P$, and acts at $30 ^ { \circ }$ to the inclined plane, as shown in Figure 2. The coefficient of friction between $P$ and the plane is $\mu$. Find
\begin{enumerate}[label=(\alph*)]
\item the magnitude of the normal reaction between $P$ and the plane,
\item the value of $\mu$.
The force of magnitude 36 N is removed.
\item Find the distance that $P$ travels between the instant when the force is removed and the instant when it comes to rest.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2012 Q8 [14]}}