surname names
Number Number
Afternoon
■ ■
Mathematics
Advanced
PAPER 32: Mechanics
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly 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−2 and give
your answer to either 2 significant figures or 3 significant figures.
• The total mark for this part of the examination is 50. There are 6 questions.
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
,1.
P (0.5 kg)
Figure 1
Figure 1 shows a particle P of mass 0.5 kg at rest on a rough horizontal plane.
(a) Find the magnitude of the normal reaction of the plane on P.
(1)
2
The coefficient of friction between P and the plane is
7
A horizontal force of magnitude X newtons is applied to P.
Given that P is now in limiting equilibrium,
(b) find the value of X.
(2)
2
■■■■
,Question 1 continued
(Total for Question 1 is 3 marks)
3
Turn over
■■■■
, 2.
speed
(m s–1)
U
t (s)
Figure 2
Figure 2 shows a speed‑time graph for a model of the motion of an athlete running a
200 m race in 24 s.
The athlete
• starts from rest at time t = 0 and accelerates at a constant rate, reaching a speed of
10 m s–1 at t = 4
• then moves at a constant speed of 10 m s–1 from t = 4 to t = 18
• then decelerates at a constant rate from t = 18 to t = 24, crossing the finishing line
with speed U m s–1
Using the model,
(a) find the acceleration of the athlete during the first 4 s of the race, stating the units of
your answer, (2)
(b) find the distance covered by the athlete during the first 18 s of the race, (3)
(c) find the value of U. (3)
4
■■■■
Number Number
Afternoon
■ ■
Mathematics
Advanced
PAPER 32: Mechanics
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly 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−2 and give
your answer to either 2 significant figures or 3 significant figures.
• The total mark for this part of the examination is 50. There are 6 questions.
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
,1.
P (0.5 kg)
Figure 1
Figure 1 shows a particle P of mass 0.5 kg at rest on a rough horizontal plane.
(a) Find the magnitude of the normal reaction of the plane on P.
(1)
2
The coefficient of friction between P and the plane is
7
A horizontal force of magnitude X newtons is applied to P.
Given that P is now in limiting equilibrium,
(b) find the value of X.
(2)
2
■■■■
,Question 1 continued
(Total for Question 1 is 3 marks)
3
Turn over
■■■■
, 2.
speed
(m s–1)
U
t (s)
Figure 2
Figure 2 shows a speed‑time graph for a model of the motion of an athlete running a
200 m race in 24 s.
The athlete
• starts from rest at time t = 0 and accelerates at a constant rate, reaching a speed of
10 m s–1 at t = 4
• then moves at a constant speed of 10 m s–1 from t = 4 to t = 18
• then decelerates at a constant rate from t = 18 to t = 24, crossing the finishing line
with speed U m s–1
Using the model,
(a) find the acceleration of the athlete during the first 4 s of the race, stating the units of
your answer, (2)
(b) find the distance covered by the athlete during the first 18 s of the race, (3)
(c) find the value of U. (3)
4
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