| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Power and driving force |
| Difficulty | Standard +0.3 This is a straightforward M2 mechanics problem requiring standard application of power = force × velocity and F = ma on an incline. Part (a) involves resolving forces in equilibrium and using the power equation (routine for M2), while part (b) is a simple application of Newton's second law with one changed value. The calculations are direct with no conceptual challenges beyond standard M2 techniques. |
| Spec | 3.03v Motion on rough surface: including inclined planes6.02k Power: rate of doing work6.02l Power and velocity: P = Fv |
| Answer | Marks | Guidance |
|---|---|---|
| (a) Net resisting force \(= 2000 - 1600g \sin 7° = 89 \cdot 1\) N | M1 A1 A1 | |
| \(1500 = 89 \cdot 1v\) | M1 | |
| \(v = 16 \cdot 8\) ms\(^{-1}\) | A1 | |
| (b) Now accelerating force \(= 100\) N \(= 1600a\) | M1 A1 | |
| \(a = 0 \cdot 0625\) ms\(^{-2}\) | A1 | (7 marks) |
(a) Net resisting force $= 2000 - 1600g \sin 7° = 89 \cdot 1$ N | M1 A1 A1 |
$1500 = 89 \cdot 1v$ | M1 |
$v = 16 \cdot 8$ ms$^{-1}$ | A1 |
(b) Now accelerating force $= 100$ N $= 1600a$ | M1 A1 |
$a = 0 \cdot 0625$ ms$^{-2}$ | A1 | (7 marks)A van of mass 1600 kg is moving with constant speed down a straight road inclined at 7° to the horizontal. The non-gravitational resistance to the van's motion has a constant magnitude of 2000 N and the engine of the van is working at a rate of 1.5 kW. Find
\begin{enumerate}[label=(\alph*)]
\item the constant speed of the van, [5 marks]
\item the acceleration of the van if the resistance is suddenly reduced to 1900 N. [2 marks]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 Q3 [7]}}