CAIE Further Paper 3 2022 November — Question 1 3 marks

Exam BoardCAIE
ModuleFurther Paper 3 (Further Paper 3)
Year2022
SessionNovember
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCircular Motion 1
TypeConical pendulum – particle on horizontal surface
DifficultyModerate -0.5 This is a straightforward application of circular motion formulas (T = mrω²) with direct substitution of given values to find angular velocity, then convert to revolutions per minute. It's simpler than average A-level mechanics as it requires only one equation and basic algebraic manipulation, though the unit conversion adds a minor step.
Spec6.05b Circular motion: v=r*omega and a=v^2/r
1 A particle of mass 2 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 on a smooth horizontal surface. The particle is moving in a circular path on the surface. The tension in the string is 20 N . Find how many revolutions the particle makes per minute.
Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
Use \(F = ma\): \(20 = \frac{2 \times v^2}{0.6}\) OR \(20 = 2 \times 0.6\omega^2\)M1
\(v^2 = 6\) OR \(\omega^2 = \frac{50}{3}\)A1
Number of revolutions per min \(= \frac{60v}{0.6 \times 2\pi}\) OR \(\frac{60\omega}{2\pi}\), so \(39(.0)\) revolutionsA1 FT \(38.9848\ldots\)
Total: 3 
## Question 1:

| Answer | Marks | Guidance |
|--------|-------|----------|
| Use $F = ma$: $20 = \frac{2 \times v^2}{0.6}$ OR $20 = 2 \times 0.6\omega^2$ | M1 | |
| $v^2 = 6$ OR $\omega^2 = \frac{50}{3}$ | A1 | |
| Number of revolutions per min $= \frac{60v}{0.6 \times 2\pi}$ OR $\frac{60\omega}{2\pi}$, so $39(.0)$ revolutions | A1 FT | $38.9848\ldots$ |
| **Total: 3** | | |

---
1 A particle of mass 2 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 on a smooth horizontal surface. The particle is moving in a circular path on the surface. The tension in the string is 20 N .

Find how many revolutions the particle makes per minute.\\

\hfill \mbox{\textit{CAIE Further Paper 3 2022 Q1 [3]}}
This paper (7 questions)
View full paper
Q1 3 Q2 6 Q3 7 Q4 8 Q5 8 Q6 8 Q7 10