Please write clearly in block capitals.
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 2 Mechanics
Friday 19 May 2023 Afternoon Time allowed: 1 hour 30 minutes
Materials
For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
A‑level Mathematics and A‑level Further Mathematics. Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
l You must ensure you have the other optional Question Paper/Answer Book
for which you are entered (either Discrete or Statistics). You will have 2
1 hour 30 minutes to complete both papers.
3
Instructions
l Use black ink or black ball‑point pen. Pencil should only be used for drawing.
4
l Fill in the boxes at the top of this page.
5
l Answer all questions.
l You must answer each question in the space provided for that question.
6
If you require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s). 7
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost. 8
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 9
Information TOTAL
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 40.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the booklet.
l You do not necessarily need to use all the space provided.
(JUN2373662M01)
G/LM/Jun23/E3 7366/2M
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 A particle moves along the x-axis under the action of a force, F newtons, where
F = 3x 2 + 5
Find the work done by the force as the particle moves from x = 0 metres
to x = 2 metres.
Circle your answer.
[1 mark]
12 J 17 J 18 J 34 J
2 Two particles are moving directly towards each other when they collide.
Given that the collision is perfectly elastic, state the value of the coefficient
of restitution.
Circle your answer.
[1 mark]
1
e = –1 e = 0 e = e = 1
2
3 A stone of mass 0.2 kg is thrown vertically upwards with a speed of 10 m s –1
Find the initial kinetic energy of the stone.
Circle your answer.
[1 mark]
1 J 5 J 10 J 20 J
(02)
G/Jun23/7366/2M
, 3
Do not write
outside the
4 Reena is skating on an ice rink, which has a horizontal surface. box
She follows a circular path of radius 5 metres and centre O
She completes 10 full revolutions in 1 minute, moving with a constant angular speed
of ω radians per second.
The mass of Reena is 40 kg
4 (a) Find the value of ω
[1 mark]
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
4 (b) (i) Find the magnitude of the horizontal resultant force acting on Reena.
[2 marks]
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
4 (b) (ii) Show the direction of this horizontal resultant force on the diagram below.
[1 mark]
O
Reena
Turn over U
(03)
G/Jun23/7366/2M
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 2 Mechanics
Friday 19 May 2023 Afternoon Time allowed: 1 hour 30 minutes
Materials
For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
A‑level Mathematics and A‑level Further Mathematics. Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
l You must ensure you have the other optional Question Paper/Answer Book
for which you are entered (either Discrete or Statistics). You will have 2
1 hour 30 minutes to complete both papers.
3
Instructions
l Use black ink or black ball‑point pen. Pencil should only be used for drawing.
4
l Fill in the boxes at the top of this page.
5
l Answer all questions.
l You must answer each question in the space provided for that question.
6
If you require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s). 7
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost. 8
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 9
Information TOTAL
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 40.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the booklet.
l You do not necessarily need to use all the space provided.
(JUN2373662M01)
G/LM/Jun23/E3 7366/2M
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 A particle moves along the x-axis under the action of a force, F newtons, where
F = 3x 2 + 5
Find the work done by the force as the particle moves from x = 0 metres
to x = 2 metres.
Circle your answer.
[1 mark]
12 J 17 J 18 J 34 J
2 Two particles are moving directly towards each other when they collide.
Given that the collision is perfectly elastic, state the value of the coefficient
of restitution.
Circle your answer.
[1 mark]
1
e = –1 e = 0 e = e = 1
2
3 A stone of mass 0.2 kg is thrown vertically upwards with a speed of 10 m s –1
Find the initial kinetic energy of the stone.
Circle your answer.
[1 mark]
1 J 5 J 10 J 20 J
(02)
G/Jun23/7366/2M
, 3
Do not write
outside the
4 Reena is skating on an ice rink, which has a horizontal surface. box
She follows a circular path of radius 5 metres and centre O
She completes 10 full revolutions in 1 minute, moving with a constant angular speed
of ω radians per second.
The mass of Reena is 40 kg
4 (a) Find the value of ω
[1 mark]
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
4 (b) (i) Find the magnitude of the horizontal resultant force acting on Reena.
[2 marks]
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
4 (b) (ii) Show the direction of this horizontal resultant force on the diagram below.
[1 mark]
O
Reena
Turn over U
(03)
G/Jun23/7366/2M