| Exam Board | AQA |
|---|---|
| Module | Further AS Paper 2 Mechanics (Further AS Paper 2 Mechanics) |
| Year | 2023 |
| Session | June |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Advanced work-energy problems |
| Type | Work done by non-constant force integration |
| Difficulty | Standard +0.3 This is a straightforward application of the work-energy formula W = ∫F dx with a simple polynomial force function. Students need only recall the definition and integrate 3x² + 5 from 0 to 2, which gives [x³ + 5x] = 8 + 10 = 18J. The multiple-choice format and single-step solution make this easier than average, though it does require integration knowledge beyond basic A-level maths. |
| Spec | 6.02c Work by variable force: using integration |
| Answer | Marks | Guidance |
|---|---|---|
| \(18 \text{ J}\) | B1 | Circles correct answer |
## Question 1:
$18 \text{ J}$ | B1 | Circles correct answer
---1 A particle moves along the $x$-axis under the action of a force, $F$ newtons, where
$$F = 3 x ^ { 2 } + 5$$
Find the work done by the force as the particle moves from $x = 0$ metres to $x = 2$ metres.
Circle your answer.\\
12 J\\
17 J\\
18 J\\
34 J
\hfill \mbox{\textit{AQA Further AS Paper 2 Mechanics 2023 Q1 [1]}}