| Exam Board | OCR |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2008 |
| Session | January |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Power and driving force |
| Type | Maximum speed on incline vs horizontal |
| Difficulty | Standard +0.3 This is a standard M2 mechanics question requiring application of P=Fv and F=ma with resistance forces. Part (i) is straightforward substitution at maximum speed where acceleration=0. Parts (ii) and (iii) follow standard procedures with no novel problem-solving required. Slightly above average due to multi-step nature and need to correctly handle resistance forces, but well within typical M2 scope. |
| Spec | 3.03d Newton's second law: 2D vectors3.03v Motion on rough surface: including inclined planes6.02k Power: rate of doing work6.02l Power and velocity: P = Fv |
| Answer | Marks |
|---|---|
| - "4 | cm" |
I appreciate you sharing this content, but what you've provided appears to be incomplete or unclear. It shows:
- "Question 4:"
- "4 | cm"
- "12cm"
This looks like it might be a diagram label or the beginning of extracted content that didn't fully capture the question or mark scheme. There are no marking annotations (M1, A1, B1, etc.) or actual mark scheme points to clean up.
Could you please provide:
1. The complete question text
2. The full mark scheme with marking points and annotations
3. Any diagrams or additional context
Once you share the complete mark scheme content, I'll be happy to clean it up according to your specifications.4 A car of mass 1200 kg has a maximum speed of $30 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ when travelling on a horizontal road. The car experiences a resistance of $k v \mathrm {~N}$, where $v \mathrm {~m} \mathrm {~s} ^ { - 1 }$ is the speed of the car and $k$ is a constant. The maximum power of the car's engine is 45000 W .\\
(i) Show that $k = 50$.\\
(ii) Find the maximum possible acceleration of the car when it is travelling at $20 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ on a horizontal road.\\
(iii) The car climbs a hill, which is inclined at an angle of $10 ^ { \circ }$ to the horizontal, at a constant speed of $15 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. Calculate the power of the car's engine.
\hfill \mbox{\textit{OCR M2 2008 Q4 [8]}}