Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Wednesday 17 January 2024
Morning (Time: 1 hour 30 minutes) Paper
reference WME01/01
Mathematics
International Advanced Subsidiary/Advanced Level
Mechanics M1
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Candidates may use any calculator permitted 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
• Use black ink or ball-point pen.
•• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
••
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.
Whenever a numerical 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.
Information
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 8 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use 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.
If you change your mind about an answer, cross it out and put your
new answer and any working underneath. Turn over
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C
2N
Figure 1
Figure 1 shows a small smooth ring threaded onto a light inextensible string.
One end of the string is attached to a fixed point A on a horizontal ceiling and the other
end of the string is attached to a fixed point B on the ceiling.
A horizontal force of magnitude 2 N acts on the ring so that the ring rests in equilibrium
at a point C, vertically below B, with the string taut.
The line of action of the horizontal force and the string both lie in the same
vertical plane.
3
The angle that the string makes with the ceiling at A is θ, where tan θ =
4
The tension in the string is T newtons. The mass of the ring is M kg.
(a) Find the value of T
(3)
(b) Find the value of M
(3)
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2
*P74317A0228*
, Question 1 continued
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5 kg x kg
Figure 2
Figure 2 shows two particles, A and B, moving in opposite directions on a smooth
horizontal surface. Particle A has mass 5 kg and particle B has mass x kg.
The particles collide directly.
Immediately before the collision, the speed of A is 3 m s–1 and the speed of B is x m s–1
Immediately after the collision, the speed of A is 1 m s–1 and its direction of motion
is unchanged.
Immediately after the collision, the speed of B is 1.5 m s–1
(a) Find the value of x.
(3)
(b) Find the magnitude of the impulse exerted on A by B in the collision.
(3)
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4
*P74317A0428*
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