Please check the examination details below before entering your
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.
AREA
DO NOT WRITE IN THIS
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)
AREA
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
2
, DO NOT WRITE IN THIS DO NOT WRITE IN THIS DO NOT WRITE IN THIS
AREA AREA AREA
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.
AREA
DO NOT WRITE IN THIS
At time t seconds (t 0),
• the particle is moving with speed v ms1
• F 2v
The time taken for the speed of the particle to increase from 5 ms1 to 10 ms1 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)
AREA
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
4
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller teachertestbank. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £12.67. You're not tied to anything after your purchase.
