| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2015 |
| Session | June |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Advanced work-energy problems |
| Type | Rough inclined plane work-energy |
| Difficulty | Standard +0.3 This is a standard M2 work-energy question with friction on an inclined plane. Part (a) requires finding the coefficient of friction from given work done (straightforward force resolution and work formula). Part (b) applies the work-energy principle with given values. Both parts follow routine procedures taught in M2 with no novel problem-solving required, making it slightly easier than average. |
| Spec | 3.03v Motion on rough surface: including inclined planes6.02b Calculate work: constant force, resolved component6.02i Conservation of energy: mechanical energy principle |
5.
\begin{figure}[h]
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\caption{Figure 2}
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A particle $P$ of mass 10 kg is projected from a point $A$ up a line of greatest slope $A B$ of a fixed rough plane. The plane is inclined at angle $\alpha$ to the horizontal, where $\tan \alpha = \frac { 5 } { 12 }$ and $A B = 6.5 \mathrm {~m}$, as shown in Figure 2. The coefficient of friction between $P$ and the plane is $\mu$. The work done against friction as $P$ moves from $A$ to $B$ is 245 J .
\begin{enumerate}[label=(\alph*)]
\item Find the value of $\mu$.
The particle is projected from $A$ with speed $11.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. By using the work-energy principle,
\item find the speed of the particle as it passes through $B$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2015 Q5 [9]}}