| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2004 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Power and driving force |
| Type | Find power at constant speed |
| Difficulty | Moderate -0.3 This is a straightforward application of the power equation P = Fv at constant speed, where forces balance. Students must resolve forces parallel to the incline (weight component + resistance = driving force) and substitute into the power formula. It's a standard M2 exercise requiring routine application of well-practiced techniques with no conceptual surprises, making it slightly easier than average. |
| Spec | 6.02k Power: rate of doing work6.02l Power and velocity: P = Fv |
\begin{enumerate}
\item A car of mass 400 kg is moving up a straight road inclined at an angle $\theta$ to the horizontal, where $\sin \theta = \frac { 1 } { 14 }$. The resistance to motion of the car from non-gravitational forces is modelled as a constant force of magnitude $R$ newtons. When the car is moving at a constant speed of $20 \mathrm {~m} \mathrm {~s} ^ { - 1 }$, the power developed by the car's engine is 10 kW .
\end{enumerate}
Find the value of $R$.\\
\hfill \mbox{\textit{Edexcel M2 2004 Q1 [5]}}