AQA Further AS Paper 2 Mechanics 2020 June — Question 3 3 marks

Exam BoardAQA
ModuleFurther AS Paper 2 Mechanics (Further AS Paper 2 Mechanics)
Year2020
SessionJune
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCircular Motion 1
TypePeriod or time for one revolution
DifficultyEasy -1.2 This is a straightforward application of the formula v = 2πr/T requiring only substitution of given values and basic calculator work. While it's a Further Maths question, it requires no problem-solving or conceptual insight—just recall of the circular motion formula and unit conversion from days to seconds.
Spec6.05b Circular motion: v=r*omega and a=v^2/r
3 The time taken for the moon to make one complete orbit around Earth is approximately 27.3 days. Model this orbit as circular, with a radius of \(3.84 \times 10 ^ { 8 }\) metres.
Find the approximate speed of the moon relative to Earth, in metres per second.
Question 3:
AnswerMarks Guidance
Answer/WorkingMark Guidance
\(\omega = \dfrac{2\pi}{27.3 \times 24 \times 60 \times 60}\) giving \(\omega = 2.6638 \times 10^{-6}\) rad s\(^{-1}\)B1 Finds correct angular speed in rad/s, OR finds correct circumference \(7.84 \times 10^8 \pi \text{ m}\) and converts 27.3 days to seconds (2358720 s)
\(v = r\omega = 3.84 \times 10^8 \times 2.6638 \times 10^{-6}\)M1 Uses \(v = r\omega\) with their \(\omega\), OR uses speed = distance/time with their values
\(v = 1020 \text{ ms}^{-1}\)A1 AWRT 1020; condone missing units
Total: 3 marks
## Question 3:

| Answer/Working | Mark | Guidance |
|---|---|---|
| $\omega = \dfrac{2\pi}{27.3 \times 24 \times 60 \times 60}$ giving $\omega = 2.6638 \times 10^{-6}$ rad s$^{-1}$ | B1 | Finds correct angular speed in rad/s, OR finds correct circumference $7.84 \times 10^8 \pi \text{ m}$ and converts 27.3 days to seconds (2358720 s) |
| $v = r\omega = 3.84 \times 10^8 \times 2.6638 \times 10^{-6}$ | M1 | Uses $v = r\omega$ with their $\omega$, OR uses speed = distance/time with their values |
| $v = 1020 \text{ ms}^{-1}$ | A1 | AWRT 1020; condone missing units |

**Total: 3 marks**
3 The time taken for the moon to make one complete orbit around Earth is approximately 27.3 days.

Model this orbit as circular, with a radius of $3.84 \times 10 ^ { 8 }$ metres.\\
Find the approximate speed of the moon relative to Earth, in metres per second.\\

\hfill \mbox{\textit{AQA Further AS Paper 2 Mechanics 2020 Q3 [3]}}
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