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Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 3C: Further Mechanics 1 QP JUNE
2024 Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
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,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions
• Answer
are clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Unless
Answers without working may not gain full credit.
otherwise indicated, whenever a numerical value of g is required,
−2
take g = 9.8 m s and give your answer to either 2 significant figures or
3 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 7 questions in this question paper. The total mark for this paper is 75.
• The
– usemarks
this asfor eachasquestion
a guide are shown
to how much in spend
time to brackets
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
, 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.
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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
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, Question 1 continued
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(Total for Question 1 is 9 marks)
3
🞍🞍🞍🞍 Turn over
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