| Exam Board | AQA |
|---|---|
| Module | Further AS Paper 2 Mechanics (Further AS Paper 2 Mechanics) |
| Year | 2021 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Circular Motion 1 |
| Type | Horizontal circular track – friction only (no banking) |
| Difficulty | Standard +0.3 This is a straightforward circular motion problem requiring the standard formula v = √(Fr/m), unit conversion to km/h, and a simple modeling comment. It's slightly above average difficulty due to being Further Maths content and requiring unit conversion, but the method is direct with no conceptual challenges or multi-step reasoning. |
| Spec | 6.05b Circular motion: v=r*omega and a=v^2/r6.05c Horizontal circles: conical pendulum, banked tracks |
| Answer | Marks |
|---|---|
| 4(a) | Uses the correct formula for the |
| Answer | Marks | Guidance |
|---|---|---|
| expression for the radial force | 3.3 | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| r | 1.1a | M1 |
| Answer | Marks | Guidance |
|---|---|---|
| to obtain v = 10 or v ≤ 10 | 1.1b | A1 |
| Answer | Marks | Guidance |
|---|---|---|
| inequality in km h–1 | 3.2a | A1F |
| Total | 4 | |
| Q | Marking instructions | AO |
| Answer | Marks |
|---|---|
| 4(b) | States one limitation with |
| Answer | Marks | Guidance |
|---|---|---|
| The road is perfectly horizontal | 3.5b | E1 |
| Answer | Marks | Guidance |
|---|---|---|
| Total | 1 | |
| Question total | 5 | |
| Q | Marking instructions | AO |
Question 4:
--- 4(a) ---
4(a) | Uses the correct formula for the
acceleration to obtain an
expression for the radial force | 3.3 | B1 | Radial force =
𝑚𝑚𝑚𝑚2
𝑟𝑟
= 500
75𝑚𝑚2
15
m s–1
𝑣𝑣 == 3160 km h–1
𝑣𝑣
Forms an equation or inequality
involving an expression for the
radial force, 500 and substitutes
the appropriate values for m and
r | 1.1a | M1
Solves the equation or inequality
to obtain v = 10 or v ≤ 10 | 1.1b | A1
Obtains their correct greatest
speed for their equation or
inequality in km h–1 | 3.2a | A1F
Total | 4
Q | Marking instructions | AO | Marks | Typical solution
--- 4(b) ---
4(b) | States one limitation with
respect to the surface of the
road
For example:
The road is perfectly horizontal | 3.5b | E1 | The road surface may not be
uniform
Total | 1
Question total | 5
Q | Marking instructions | AO | Marks | Typical solutionA cyclist in a road race is travelling around a bend on a horizontal circular path of radius 15 metres and is prevented from skidding by a frictional force.
The frictional force has a maximum value of 500 newtons.
The total mass of the cyclist and his cycle is 75 kg
Assume that the cyclist travels at a constant speed.
\begin{enumerate}[label=(\alph*)]
\item Work out the greatest speed, in km h$^{-1}$, at which the cyclist can travel around the bend. [4 marks]
\item With reference to the surface of the road, describe one limitation of the model. [1 mark]
\end{enumerate}
\hfill \mbox{\textit{AQA Further AS Paper 2 Mechanics 2021 Q4 [5]}}