| Exam Board | CAIE |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2016 |
| Session | June |
| 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 -0.3 This is a straightforward two-part mechanics question requiring standard formulas (ΔPE = mgh, work = force × distance) with minimal problem-solving. The constant speed condition simplifies the analysis, and all values are given directly. Slightly easier than average due to its routine nature, though the two-step calculation in part (ii) prevents it from being trivial. |
| Spec | 6.02a Work done: concept and definition6.02d Mechanical energy: KE and PE concepts |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \([\text{PE gain} = 8g \times 20\sin30°]\) | M1 | For using PE gain \(= mgh\) |
| Change in PE is 800 J | A1 | [2 marks] |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| \([8g \times 20\sin30° + 20F = 1146]\) | M1 | For using PE gain + WD against friction \(= 1146\) |
| Frictional force is 17.3 N | A1 | [2 marks] |
## Question 1:
### Part (i):
| Answer | Mark | Guidance |
|--------|------|----------|
| $[\text{PE gain} = 8g \times 20\sin30°]$ | M1 | For using PE gain $= mgh$ |
| Change in PE is 800 J | A1 | **[2 marks]** |
### Part (ii):
| Answer | Mark | Guidance |
|--------|------|----------|
| $[8g \times 20\sin30° + 20F = 1146]$ | M1 | For using PE gain + WD against friction $= 1146$ |
| Frictional force is 17.3 N | A1 | **[2 marks]** |
---1 A particle of mass 8 kg is pulled at a constant speed a distance of 20 m up a rough plane inclined at an angle of $30 ^ { \circ }$ to the horizontal by a force acting along a line of greatest slope.\\
(i) Find the change in gravitational potential energy of the particle.\\
(ii) The total work done against gravity and friction is 1146 J . Find the frictional force acting on the particle.
\hfill \mbox{\textit{CAIE M1 2016 Q1 [4]}}