| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Work done and energy |
| Type | Work done against friction/resistance - inclined plane or slope |
| Difficulty | Moderate -0.3 This is a straightforward M2 energy question requiring standard application of KE and PE formulas with given values. Part (a) involves routine calculation (change in KE + change in PE) with no conceptual difficulty, while part (b) is simple recall of resistance forces. Slightly easier than average due to explicit guidance and standard bookwork nature. |
| Spec | 6.02d Mechanical energy: KE and PE concepts6.02e Calculate KE and PE: using formulae |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Notes |
| (a) change in KE \(= \frac{1}{2} \times 1000(10^2 - 20^2) = -150000\) J | M1 A1 | |
| change in PE \(= 1000(9.8)(200\sin\theta) = 280000\) J | M2 A1 | |
| change in ME \(= 280000 - 150000 =\) increase of \(130000\) J | A1 | |
| (b) air resistance | B1 | |
| friction | B1 | (8) |
## Question 2:
| Answer/Working | Marks | Notes |
|---|---|---|
| **(a)** change in KE $= \frac{1}{2} \times 1000(10^2 - 20^2) = -150000$ J | M1 A1 | |
| change in PE $= 1000(9.8)(200\sin\theta) = 280000$ J | M2 A1 | |
| change in ME $= 280000 - 150000 =$ increase of $130000$ J | A1 | |
| **(b)** air resistance | B1 | |
| friction | B1 | **(8)** |
---2. A car of mass 1 tonne is climbing a hill inclined at an angle $\theta$ to the horizontal where $\sin \theta = \frac { 1 } { 7 }$. When the car passes a point $X$ on the hill, it is travelling at $20 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. When the car passes the point $Y , 200 \mathrm {~m}$ further up the hill, it has speed $10 \mathrm {~ms} ^ { - 1 }$.
In a preliminary model of the situation, the car engine is assumed only to be doing work against gravity. Using this model,
\begin{enumerate}[label=(\alph*)]
\item find the change in the total mechanical energy of the car as it moves from $X$ to $Y$.\\
(6 marks)\\
In a more sophisticated model, the car engine is also assumed to work against other forces.
\item Write down two other forces which this model might include.\\
(2 marks)
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 Q2 [8]}}