| Exam Board | OCR |
|---|---|
| Module | M2 (Mechanics 2) |
| Session | Specimen |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Work done and energy |
| Difficulty | Moderate -0.8 This is a straightforward application of basic work and power formulas (W = Fs cos θ and P = W/t) with simple arithmetic. The question requires only direct substitution into standard formulas with no problem-solving insight or multi-step reasoning, making it easier than average for A-level mechanics. |
| Spec | 6.02b Calculate work: constant force, resolved component |
| Answer | Marks | Guidance |
|---|---|---|
| (i) Work done is \(500\cos15° \times 400 = 193\,000\) J | M1, A1, A1 (3 marks) | For attempt to use Force × distance; For correct unsimplified product; For correct answer 193000 |
| (ii) Power applied is \(\frac{193185}{600} = 322\) W | M1, A1 (2 marks) | For relevant use of \(\frac{\text{work}}{\text{time}}\) or force × velocity; For correct answer 322 |
(i) Work done is $500\cos15° \times 400 = 193\,000$ J | M1, A1, A1 (3 marks) | For attempt to use Force × distance; For correct unsimplified product; For correct answer 193000
(ii) Power applied is $\frac{193185}{600} = 322$ W | M1, A1 (2 marks) | For relevant use of $\frac{\text{work}}{\text{time}}$ or force × velocity; For correct answer 322
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\includegraphics[max width=\textwidth, alt={}, center]{b96a99a6-3df4-4000-9bf1-aab7ab954b4a-2_236_949_269_603}
A barge $B$ is pulled along a canal by a horse $H$, which is on the tow-path. The barge and the horse move in parallel straight lines and the tow-rope makes a constant angle of $15 ^ { \circ }$ with the direction of motion (see diagram). The tow-rope remains taut and horizontal, and has a constant tension of 500 N .\\
(i) Find the work done on the barge by the tow-rope, as the barge travels a distance of 400 m .
The barge moves at a constant speed and takes 10 minutes to travel the 400 m .\\
(ii) Find the power applied to the barge.
\hfill \mbox{\textit{OCR M2 Q1 [5]}}