| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2006 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Work done and energy |
| Type | Acceleration from power and speed |
| Difficulty | Moderate -0.3 Part (a) is a direct application of Power = Force × velocity requiring one calculation. Part (b) involves resolving forces on an incline and using P = Fv with Newton's second law, but follows a standard M2 template with straightforward arithmetic. The multi-step nature and incline component add slight complexity, but this remains a routine textbook exercise with no novel problem-solving required. |
| Spec | 6.02l Power and velocity: P = Fv |
A car of mass 1200 kg moves along a straight horizontal road with a constant speed of 24 m s$^{-1}$. The resistance to motion of the car has magnitude 600 N.
\begin{enumerate}[label=(\alph*)]
\item Find, in kW, the rate at which the engine of the car is working.
[2]
\end{enumerate}
The car now moves up a hill inclined at $\alpha$ to the horizontal, where $\sin \alpha = \frac{1}{20}$. The resistance to motion of the car from non-gravitational forces remains of magnitude 600 N. The engine of the car now works at a rate of 30 kW.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Find the acceleration of the car when its speed is 20 m s$^{-1}$.
[4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 2006 Q2 [6]}}