AQA M2 2010 January — Question 1 3 marks

Exam BoardAQA
ModuleM2 (Mechanics 2)
Year2010
SessionJanuary
Marks3
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Mark schemeDownload PDF ↗
TopicWork done and energy
TypeWork done by constant force - find work done
DifficultyEasy -1.2 This is a straightforward application of the work formula W = Fs cos θ with all values given directly. It requires only substituting 40 N, 5 m, and 30° into the formula—a single-step calculation with no problem-solving or conceptual challenge beyond recalling the basic definition.
Spec6.02b Calculate work: constant force, resolved component
1 An inextensible rope is attached to a sledge which is at rest on a horizontal surface. A constant force of magnitude 40 newtons at an angle of \(30 ^ { \circ }\) to the horizontal is applied to the sledge, as shown in the diagram. \includegraphics[max width=\textwidth, alt={}, center]{06b431ca-d3a8-46d6-b9f8-bac08d3fd51e-2_312_1086_664_466} Calculate the work done by the force as the sledge is moved 5 metres along the surface.
Question 1:
AnswerMarks Guidance
WorkingMarks Guidance
Work done \(= Fs\cos\theta\)M1 Accept \(Fs\sin\theta\) for M1
\(= 40 \times 5 \times \cos 30\)A1
\(= 173\) JA1 Total: 3 
## Question 1:

| Working | Marks | Guidance |
|---------|-------|----------|
| Work done $= Fs\cos\theta$ | M1 | Accept $Fs\sin\theta$ for M1 |
| $= 40 \times 5 \times \cos 30$ | A1 | |
| $= 173$ J | A1 | **Total: 3** |

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1 An inextensible rope is attached to a sledge which is at rest on a horizontal surface. A constant force of magnitude 40 newtons at an angle of $30 ^ { \circ }$ to the horizontal is applied to the sledge, as shown in the diagram.\\
\includegraphics[max width=\textwidth, alt={}, center]{06b431ca-d3a8-46d6-b9f8-bac08d3fd51e-2_312_1086_664_466}

Calculate the work done by the force as the sledge is moved 5 metres along the surface.

\hfill \mbox{\textit{AQA M2 2010 Q1 [3]}}
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Q1 3 Q2 6 Q3 8 Q4 12 Q5 13 Q6 7 Q7 10 Q8 16