lOMoARcPSD|8427316
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Monday 19 October 2020
Afternoon Paper Reference 9MA0/32
Mathematics
Advanced
Paper 32: Mechanics
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator allowed 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
•• IfUsepencil
black ink or ball-point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre number
Fill in the boxes at the top of this page with your name,
and candidate number.
• are
Answer all questions and ensure that your answers to parts of questions
clearly labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• and
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
give your answer to either 2 significant figures or 3 significant figures.
−2
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 50. There are 5 questions.
• – usemarks
The for each question are shown in brackets
this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
• Check your answers if you have time at the end. Turn over
P66789A
©2020 Pearson Education Ltd.
1/1/1/1/1/1/
*P66789A0120*
-00<-0-8-6
Downloaded by Natela Tsutsunashvili ()
, lOMoARcPSD|8427316
3
1. A rough plane is inclined to the horizontal at an angle α , where tan α =
4
A brick P of mass m is placed on the plane.
The coefficient of friction between P and the plane is μ
Brick P is in equilibrium and on the point of sliding down the plane.
Brick P is modelled as a particle.
Using the model,
(a) find, in terms of m and g, the magnitude of the normal reaction of the plane on brick P
(2)
3
(b) show that μ =
4
(4)
For parts (c) and (d), you are not required to do any further calculations.
Brick P is now removed from the plane and a much heavier brick Q is placed on
the plane.
3
The coefficient of friction between Q and the plane is also
4
(c) Explain briefly why brick Q will remain at rest on the plane.
(1)
Brick Q is now projected with speed 0.5 m s−1 down a line of greatest slope of the plane.
Brick Q is modelled as a particle.
Using the model,
(d) describe the motion of brick Q, giving a reason for your answer.
(2)
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, lOMoARcPSD|8427316
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Turn over
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Monday 19 October 2020
Afternoon Paper Reference 9MA0/32
Mathematics
Advanced
Paper 32: Mechanics
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator allowed 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
•• IfUsepencil
black ink or ball-point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre number
Fill in the boxes at the top of this page with your name,
and candidate number.
• are
Answer all questions and ensure that your answers to parts of questions
clearly labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• and
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
give your answer to either 2 significant figures or 3 significant figures.
−2
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 50. There are 5 questions.
• – usemarks
The for each question are shown in brackets
this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
Try to answer every question.
• Check your answers if you have time at the end. Turn over
P66789A
©2020 Pearson Education Ltd.
1/1/1/1/1/1/
*P66789A0120*
-00<-0-8-6
Downloaded by Natela Tsutsunashvili ()
, lOMoARcPSD|8427316
3
1. A rough plane is inclined to the horizontal at an angle α , where tan α =
4
A brick P of mass m is placed on the plane.
The coefficient of friction between P and the plane is μ
Brick P is in equilibrium and on the point of sliding down the plane.
Brick P is modelled as a particle.
Using the model,
(a) find, in terms of m and g, the magnitude of the normal reaction of the plane on brick P
(2)
3
(b) show that μ =
4
(4)
For parts (c) and (d), you are not required to do any further calculations.
Brick P is now removed from the plane and a much heavier brick Q is placed on
the plane.
3
The coefficient of friction between Q and the plane is also
4
(c) Explain briefly why brick Q will remain at rest on the plane.
(1)
Brick Q is now projected with speed 0.5 m s−1 down a line of greatest slope of the plane.
Brick Q is modelled as a particle.
Using the model,
(d) describe the motion of brick Q, giving a reason for your answer.
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
-0--2--0
*P66789A0220*
Downloaded by Natela Tsutsunashvili ()
, lOMoARcPSD|8427316
Question 1 continued
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*P66789A0320*
3
-0--2--0
Downloaded by Natela Tsutsunashvili ()
Turn over
