Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 4C: Further June 2023

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candidate information
Candidate surnameOther names

Centre Candidate
Number Number


Pearson Edexcel Level
3 GCE
Monday 26th June 2023
Afternoon (Time: 1 hour 30
minutes) reference
Paper
9FM0/4
Further C
Mathematics  


Advanced
PAPER 4C: Further
Mechanics
You must have:2 Total
Mathematical Formulae and Statistical Tables Marks
(Green), calculator

Candidates may use any calculator permitted by Pearson
regulations. Calculators must not have the facility for symbolic
algebra manipulation, differentiation and integration, or have
retrievable mathematical formulae stored in them.
Instructions
• Use black ink or ball-
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill
point
in the boxes at the top of this page with
centrepen.
number and candidate
number.all questions and ensure that your answers to parts of questions
• Answer
• your name,
Answer thelabelled.
are clearly questions in themay
– there spaces
be more space than you need.
• You should show sufficient working to make your methods clear.

•
Answers
provided without working may not gain full credit.
Unless otherwise indicated, whenever a value of g is required, take g = 9.8
m s–2 and give your answer to either 2 significant figures or 3 significant
figures.
Informat
• A booklet ‘Mathematical Formulae and Statistical
ion
• There
The marks
are 8for each question
questions
Tables’ is provided.
are shown
in this question paper. The total mark for
this paper is 75. – use this as a guide as to how much time to
spend on each question.
in brackets
Advice
• Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the end.
Turn over
question.



1

,1. Three particles of masses 3m, 4m and km are positioned at the points with
coordinates (2a, 3a), (a, 5a) and (2μa, μa) respectively, where k and μ are constants.




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The centre of mass of the three particles is at the point with coordinates (2a, 4a).

Find (i) the value of k

(ii) the value of μ
(6)




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2

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Question 1 continued




(Total for Question 1 is 6 marks)




over
Turn
3

, 2. A particle of mass 2 kg is moving in a straight line on a smooth horizontal surface under
the action of a horizontal force of magnitude F newtons.




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At time t seconds (t  0),
• the particle is moving with speed v ms1
• F 2v

The time taken for the speed of the particle to increase from 5 ms1 to 10 ms1 is
T seconds.
12
(a) Show that T  2 ln
7
(4)
1
The distance moved by the particle as its speed increases from 5 ms to 10 ms is 1

D metres.

(b) Find the exact value of D.
(4)




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4

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