A-Level Pearson Edexcel GCE AL Further Mathematics (9FM0) Paper 4C Further Mechanics 2 summer Exam Question Paper (AUTHENTIC MARKING SCHEME ATTACHED)

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Pearson Edexcel Level 3 GCE
reference 9FM0/4C
Paper
Time 1 hour 30 minutes

Further Mathematics
Advanced
PAPER 4C: Further Mechanics 2

You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator



A-Level Pearson Edexcel
GCE
AL Further Mathematics
(9FM0)
Paper 4C Further
Mechanics 2 summer Exam
Question Paper

(AUTHENTIC MARKING
SCHEME ATTACHED)


1/1/ *P72114A0132*
P72114A
©2022 Pearson Education Ltd.

,1. Three particles of masses 2m, 3m and km are placed at the points with coordinates
(3a, 2a), (a, –4a) and (–3a, 4a) respectively.
– –
The centre of mass of the three particles lies at the point with coordinates ( , ).
x y
–
(a) (i) Find x in terms of a and k
(ii) –
Find y in terms of a and k
(4)

Given that the distance of the centre of mass of the three particles from the point (0, 0)
1
is a
3

(b) find the possible values of k
(2)
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2
*P72114A0232*

,Question 1 continued
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(Total for Question 1 is 6 marks)
3
*P72114A0332* Turn over

, 2. A cyclist and her cycle have a combined mass of 60 kg. The cyclist is moving along a
straight horizontal road and is working at a constant rate of 200 W.
When she has travelled a distance x metres, her speed is v m s–1 and the magnitude of the
resistance to motion is 3v2 N.
dv 200 − 3v3
(a) Show that dx = 60v2

(4)
The distance travelled by the cyclist as her speed increases from 2 m s–1 to 4 m s–
1
is D metres.
(b) Find the exact value of D
(3)
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*P72114A0432*