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Pearson Edexcel Level 3 GCE
Friday 7 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/3C
Further Mathematics
Advanced
PAPER 3C: Further Mechanics 1
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebraic manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• are
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions
• – there may
clearly labelled.
Answer the questions in the spaces provided
• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.
• take g = 9.8 m s and give your
may not gain full credit.
Unless otherwise indicated, whenever a numerical value of g is required,
−2
answer to either 2 significant figures or
3 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 7 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P75322A
©2024 Pearson Education Ltd.
F:1/1/
*P75322A0124*
, 1. [In this question, i and j are horizontal perpendicular unit vectors.]
A particle A has mass 3 kg and a particle B has mass 2 kg.
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
The particles are moving on a smooth horizontal plane when they collide directly.
Immediately before the collision, the velocity of A is (3i – j) m s–1 and the velocity of
B is (–6i + 2j) m s–1
2
Immediately after the collision the velocity of A is 2i
j m s–1
3
(a) Find the total kinetic energy of the two particles before the collision.
(3)
(b) Find, in terms of i and j, the impulse exerted on A by B in the collision.
(3)
(c) Find, in terms of i and j, the velocity of B immediately after the collision.
(3)
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2
*P75322A0224*
Scroll below to see the sample of the paper
O2ered to you by Tyrion Papers
https://tyrionpapers.com
If you have any issues or queries, do reach out to
I’ll help you out for sure
We have locked papers, Predicted Papers, Topic tests, Notes,
question banks and so much more
, Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
tyrionpapers.com
Pearson Edexcel Level 3 GCE
Friday 7 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/3C
Further Mathematics
Advanced
PAPER 3C: Further Mechanics 1
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebraic manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• are
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions
• – there may
clearly labelled.
Answer the questions in the spaces provided
• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.
• take g = 9.8 m s and give your
may not gain full credit.
Unless otherwise indicated, whenever a numerical value of g is required,
−2
answer to either 2 significant figures or
3 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 7 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P75322A
©2024 Pearson Education Ltd.
F:1/1/
*P75322A0124*
, 1. [In this question, i and j are horizontal perpendicular unit vectors.]
A particle A has mass 3 kg and a particle B has mass 2 kg.
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
The particles are moving on a smooth horizontal plane when they collide directly.
Immediately before the collision, the velocity of A is (3i – j) m s–1 and the velocity of
B is (–6i + 2j) m s–1
2
Immediately after the collision the velocity of A is 2i
j m s–1
3
(a) Find the total kinetic energy of the two particles before the collision.
(3)
(b) Find, in terms of i and j, the impulse exerted on A by B in the collision.
(3)
(c) Find, in terms of i and j, the velocity of B immediately after the collision.
(3)
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_____________________________________________________________________________________
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_____________________________________________________________________________________
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2
*P75322A0224*
