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A-Level Pearson Edexcel GCE AL Further Mathematics (9FM0) 2024 Paper 4C Further Mechanics 2 summer Exam Question Paper (AUTHENTIC MARKING SCHEME ATTACHED$10.49
A-Level Pearson Edexcel GCE AL Further Mathematics (9FM0) 2024 Paper 4C Further Mechanics 2 summer Exam Question Paper (AUTHENTIC MARKING SCHEME ATTACHED
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Course
FURTHER MATHEMAICS
Institution
PEARSON (PEARSON)
A-Level Pearson Edexcel GCE
AL Further Mathematics (9FM0)
Paper 4C Further Mechanics 2 summer Exam Question Paper
(AUTHENTIC MARKING SCHEME ATTACHED)
,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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(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*
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