CAIE M1 2012 June — Question 1 3 marks

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2012
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicWork done and energy
TypeWork done by constant force - find work done
DifficultyEasy -1.2 This is a straightforward work done calculation requiring only the formula W = Fs cos θ combined with basic kinematics (s = vt). The question provides all necessary values explicitly and requires no problem-solving insight—just direct substitution into a standard formula. Significantly easier than average A-level questions.
Spec6.02b Calculate work: constant force, resolved component

1 \includegraphics[max width=\textwidth, alt={}, center]{918b65cc-617d-4942-8d96-b02eef21e417-2_262_711_248_717} A ring is threaded on a fixed horizontal bar. The ring is attached to one end of a light inextensible string which is used to pull the ring along the bar at a constant speed of \(0.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The string makes a constant angle of \(24 ^ { \circ }\) with the bar and the tension in the string is 6 N (see diagram). Find the work done by the tension in a period of 8 s .

Question 1:
AnswerMarks Guidance
Answer/WorkingMark Guidance
Using \(WD = Fd\cos\alpha\)M1 For using \(WD = Fd\cos\alpha\)
\(WD = 6 \times (0.5 \times 8)\cos 24°\)A1
Work done is \(21.9\) JA1 [3]
## Question 1:

| Answer/Working | Mark | Guidance |
|---|---|---|
| Using $WD = Fd\cos\alpha$ | M1 | For using $WD = Fd\cos\alpha$ |
| $WD = 6 \times (0.5 \times 8)\cos 24°$ | A1 | |
| Work done is $21.9$ J | A1 [3] | |

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1\\
\includegraphics[max width=\textwidth, alt={}, center]{918b65cc-617d-4942-8d96-b02eef21e417-2_262_711_248_717}

A ring is threaded on a fixed horizontal bar. The ring is attached to one end of a light inextensible string which is used to pull the ring along the bar at a constant speed of $0.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. The string makes a constant angle of $24 ^ { \circ }$ with the bar and the tension in the string is 6 N (see diagram). Find the work done by the tension in a period of 8 s .

\hfill \mbox{\textit{CAIE M1 2012 Q1 [3]}}