CAIE M2 2013 November — Question 1 2 marks

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2013
SessionNovember
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCircular Motion 1
TypeConical pendulum – particle on horizontal surface
DifficultyEasy -1.2 This is a straightforward circular motion problem requiring only one step: applying F=mv²/r with all values given directly. It's simpler than average A-level questions as it involves no geometry, no component resolution, and just substitution into a standard formula.
Spec3.03d Newton's second law: 2D vectors6.05b Circular motion: v=r*omega and a=v^2/r

1 A particle \(P\) of mass 0.3 kg is attached to one end of a light inextensible string of length 0.6 m . The other end of the string is attached to a fixed point \(O\) of a smooth horizontal plane. \(P\) moves on the plane at constant speed \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) in a circle with centre \(O\). Calculate the tension in the string.

Question 1:
AnswerMarks Guidance
Answer/WorkingMark Guidance
\(T = 0.3 \times 5^2 / 0.6\)M1 Uses \(acc^n = v^2/r\)
\(T = 12.5\) NA1 [2]
## Question 1:
| Answer/Working | Mark | Guidance |
|---|---|---|
| $T = 0.3 \times 5^2 / 0.6$ | M1 | Uses $acc^n = v^2/r$ |
| $T = 12.5$ N | A1 [2] | |

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1 A particle $P$ of mass 0.3 kg is attached to one end of a light inextensible string of length 0.6 m . The other end of the string is attached to a fixed point $O$ of a smooth horizontal plane. $P$ moves on the plane at constant speed $5 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ in a circle with centre $O$. Calculate the tension in the string.

\hfill \mbox{\textit{CAIE M2 2013 Q1 [2]}}