| Exam Board | CAIE |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2020 |
| Session | November |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Work done and energy |
| Type | Work done against friction/resistance - inclined plane or slope |
| Difficulty | Moderate -0.8 This is a straightforward multi-part mechanics question requiring standard formulas: work = force × distance for part (a), mgh for part (b), and combining results for part (c). All steps are routine applications of basic mechanics principles with no problem-solving insight required, making it easier than average but not trivial due to the multi-part structure. |
| Spec | 6.02b Calculate work: constant force, resolved component6.02d Mechanical energy: KE and PE concepts |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(WD = 40 \times 15 = 600\ \text{J}\) | B1 | |
| [1] |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \([PE = 5 \times 10 \times 15 \sin 20]\) | M1 | Attempt PE gain |
| \(257\ \text{J}\ (256.5151\ldots\ \text{J})\) | A1 | |
| [2] |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(WD = 40 \times 15 + 5 \times 10 \times 15 \sin 20 = 857\ \text{J}\) | B1 FT | FT \(600 +\ \)'PE'\((> 0)\) from 2(b) |
| [1] |
## Question 2:
**Part (a)**
| Answer | Marks | Guidance |
|--------|-------|----------|
| $WD = 40 \times 15 = 600\ \text{J}$ | **B1** | |
| | **[1]** | |
**Part (b)**
| Answer | Marks | Guidance |
|--------|-------|----------|
| $[PE = 5 \times 10 \times 15 \sin 20]$ | **M1** | Attempt PE gain |
| $257\ \text{J}\ (256.5151\ldots\ \text{J})$ | **A1** | |
| | **[2]** | |
**Part (c)**
| Answer | Marks | Guidance |
|--------|-------|----------|
| $WD = 40 \times 15 + 5 \times 10 \times 15 \sin 20 = 857\ \text{J}$ | **B1 FT** | FT $600 +\ $'PE'$(> 0)$ from **2(b)** |
| | **[1]** | |2 A box of mass 5 kg is pulled at a constant speed a distance of 15 m up a rough plane inclined at an angle of $20 ^ { \circ }$ to the horizontal. The box moves along a line of greatest slope against a frictional force of 40 N . The force pulling the box is parallel to the line of greatest slope.
\begin{enumerate}[label=(\alph*)]
\item Find the work done against friction.
\item Find the change in gravitational potential energy of the box.
\item Find the work done by the pulling force.
\end{enumerate}
\hfill \mbox{\textit{CAIE M1 2020 Q2 [4]}}