| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2013 |
| Session | June |
| Marks | 7 |
| 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 requiring resolution of forces on an inclined plane, calculation of friction work (μR × distance), and application of the work-energy principle. It involves multiple steps but uses routine mechanics techniques with no novel problem-solving required, making it slightly easier than average for M2 level. |
| Spec | 3.03t Coefficient of friction: F <= mu*R model6.02b Calculate work: constant force, resolved component6.02c Work by variable force: using integration6.02i Conservation of energy: mechanical energy principle |
2. A particle $P$ of mass 3 kg moves from point $A$ to point $B$ up a line of greatest slope of a fixed rough plane. The plane is inclined at $20 ^ { \circ }$ to the horizontal. The coefficient of friction between $P$ and the plane is 0.4
Given that $A B = 15 \mathrm {~m}$ and that the speed of $P$ at $A$ is $20 \mathrm {~m} \mathrm {~s} ^ { - 1 }$, find
\begin{enumerate}[label=(\alph*)]
\item the work done against friction as $P$ moves from $A$ to $B$,
\item the speed of $P$ at $B$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2013 Q2 [7]}}