| Exam Board | Edexcel |
|---|---|
| Module | M2 (Mechanics 2) |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Work done and energy |
| Type | Energy method - smooth inclined plane (no resistance) |
| Difficulty | Standard +0.3 This is a straightforward M2 work-energy question requiring standard application of energy conservation and impulse-momentum theorem. The steps are clearly signposted (find PE change, then distance), with routine calculations involving given values. Slightly above trivial due to multi-step nature and need to connect impulse to initial KE, but no novel problem-solving required. |
| Spec | 6.02b Calculate work: constant force, resolved component6.02d Mechanical energy: KE and PE concepts6.02e Calculate KE and PE: using formulae6.02i Conservation of energy: mechanical energy principle |
| Answer | Marks | Guidance |
|---|---|---|
| (a) P.E. lost \(=\) K.E. gained \(= 19 - \frac{1}{2} \times 0.5 \times 4^2 = 15\) J | M1 A1 A1 | |
| (b) \(0.5gh = 15\) \(\quad h = \frac{30}{g}\) \(\quad d = h \div \sin \alpha = \frac{75}{g} = 7.65\) m | M1 A1 M1 A1 | |
| (c) Modelled block as particle; ignored air resistance | B1 B1 | Total: 9 marks |
**(a)** P.E. lost $=$ K.E. gained $= 19 - \frac{1}{2} \times 0.5 \times 4^2 = 15$ J | M1 A1 A1 |
**(b)** $0.5gh = 15$ $\quad h = \frac{30}{g}$ $\quad d = h \div \sin \alpha = \frac{75}{g} = 7.65$ m | M1 A1 M1 A1 |
**(c)** Modelled block as particle; ignored air resistance | B1 B1 | Total: 9 marks4. A small block of wood, of mass 0.5 kg , slides down a line of\\
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greatest slope of a smooth plane inclined at an angle $\alpha$ to the horizontal, where $\sin \alpha = \frac { 2 } { 5 }$. The block is given an initial impulse of magnitude 2 Ns , and reaches the bottom of the plane with kinetic energy 19 J.
\begin{enumerate}[label=(\alph*)]
\item Find, in J , the change in the potential energy of the block as it moves down the plane.
\item Hence find the distance travelled by the block down the plane.
\item State two modelling assumptions that you have made.
\section*{MECHANICS 2 (A) TEST PAPER 6 Page 2}
\end{enumerate}
\hfill \mbox{\textit{Edexcel M2 Q4 [9]}}