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Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary Further Mathematics options 25: Further Mechanics 1 (Part of options C, E, H and J)$14.99
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Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary Further Mathematics options 25: Further Mechanics 1 (Part of options C, E, H and J)
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Course
Further Mathematics
Institution
PEARSON (PEARSON)
Pearson Edexcel Level 3 GCE
Further Mathematics
Advanced Subsidiary Further Mathematics options 25: Further Mechanics 1 (Part of options C, E, H and J)
You must have:
Mathematical Formulae and Statistical Tables (Green), calculator
pearson edexcel level 3 gce further mathematics advanced subsidiary further mathematics options 25 further mechanics 1 part of options c
e
h and j
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BTEC
PEARSON (PEARSON)
Further Mathematics
Further Mathematics
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Pearson Edexcel Level 3 GCE
Pearson Edexcel Level 3 GCE
Further Mathematics
Advanced Subsidiary Further Mathematics options 25: Further
Mechanics 1 (Part of options C, E, H and J)
You must have:
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator allowed by the regulations of the Joint
Council for Qualifications. 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-point
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the boxes at the top of this page with
pen. number and candidate number.
• Answer
your name,
clearly
all questions and ensure that your answers to parts of questions are
labelled.
• Answer the questions in the spaces provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
and give your answer to either 2 significant figures or 3 significant figures.
−2
Informatio
n
• A booklet ‘Mathematical Formulae and Statistical Tables’ is
• The total mark for this part of the examination is 40. There are 4 questions.
• –The marks for each question are shown in
provided.
use this as a guide as to how much time to spend on each question.
Advice
•• Read
brackets
Check
each question carefully before you start to answer it.
your answers
every if you have time at the end.
• Try to answer
A small book of mass m is held on a rough straight desk lid which is inclined at an
3
angle α to the horizontal, where tan α = . The book is released from rest at a distance
of 0.5 m from the edge of the desk lid, as4shown in Figure 1. The book slides down
the desk lid and then hits the floor that is 0.8 m below the edge of the desk lid. The
coefficient of friction between the book and the desk lid is 0.4
The book is modelled as a particle which, after leaving the desk lid, is assumed to move
freely under gravity.
(a) Find, in terms of m and g, the magnitude of the normal reaction on the book as it
slides down the desk lid.
(2)
(b) Use the work-energy principle to find the speed of the book as it hits the floor.
(5)
2
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