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Exam (elaborations)

Jan 2025 IAL Maths Mechanics 2 Question Paper

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​The International Advanced Level (IAL) Mechanics papers—Mechanics 1 (M1), Mechanics 2 (M2), and Mechanics 3 (M3)—are designed to develop students' understanding of the principles governing motion and forces. Here's a concise overview of each:​ Mechanics 1 (M1): M1 introduces fundamental concepts such as vectors, kinematics, dynamics, statics, and moments. Students learn to apply these principles to solve problems involving motion in a straight line, forces, friction, and equilibrium of particles. Mechanics 2 (M2): Building upon M1, M2 delves into more advanced topics such as projectiles, variable acceleration, work and energy, impulses and collisions, and the statics of rigid bodies. Students apply these concepts to analyze real-world physical situations. Mechanics 3 (M3): M3 covers further applications of mechanics, including circular motion, simple harmonic motion, elastic and inelastic collisions, and the dynamics of rigid bodies. Students explore the behavior of systems under various forces and motions.

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Please check the examination details below before entering your candidate information
Candidate surname Other names


Centre Number Candidate Number




Pearson Edexcel International Advanced Level
Friday 17 January 2025
Afternoon (Time: 1 hour 30 minutes) Paper
reference WME02/01
Mathematics
 


International Advanced Subsidiary/Advanced Level
Mechanics M2


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.

• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,

• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions

• Answer
are clearly labelled.
the questions in the spaces provided

• You
– there may be more space than you need.
should show sufficient working to make your methods clear.

• Whenever
Answers without working may not gain full credit.
–2
a numerical value of g is required, take g = 9.8 m s , and give your answer
to either 2 significant figures or 3 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.

• – use this asfora guide
are 8 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.

•• Check
Try to answer every question.
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


P76198A
©2025 Pearson Education Ltd.
H:1/1/1/1/1/1
*P76198A0124*

,1.




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P



α


Figure 1
5
A fixed rough plane is inclined to the horizontal at an angle α, where tan

12
A package P of mass 2.6 kg is placed on the plane, as shown in Figure 1.
The package is pushed, with constant speed, up a line of greatest slope of the plane.
The force pushing P acts parallel to the path of P.
1
The coefficient of friction between P and the plane is
5
The package is modelled as a particle and air resistance is negligible.
Use the model to find the total work done in pushing P, at a constant speed, a distance
of 20 m up the plane.
(5)
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2
*P76198A0224* 

, Question 1 continued
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(Total for Question 1 is 5 marks)

3
 *P76198A0324* Turn over

, 2.




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Figure 2
A van of mass 900 kg is moving along a straight horizontal road.
The van is towing a trailer of mass 300 kg.
The trailer is attached to the van by a rigid towbar which is parallel to the direction of
motion of the van and the trailer, as shown in Figure 2.
The resistance to the motion of the van is modelled as a constant force of
magnitude 500 N.
The resistance to the motion of the trailer is modelled as a constant force of
magnitude 200 N.
The towbar is modelled as a light rod.
The engine of the van is working at a constant rate of 18 kW.
At the instant when the speed of the van is 12 m s −1 , the tension in the towbar has
magnitude T newtons.
(a) Find the value of T
(7)
Later, the van is towing the trailer up a straight road inclined at an angle α to the
1
horizontal, where sin

15
The towbar is still parallel to the direction of motion of the van and the trailer.
The resistance to the motion of the van from non-gravitational forces is modelled as a
constant force of magnitude 500 N.
The resistance to the motion of the trailer from non-gravitational forces is modelled as a
constant force of magnitude 200 N.
The towbar is again modelled as a light rod.
When the van is travelling with a constant speed of v ms −1 , the engine of the van is
working at a constant rate of 18 kW.
(b) Find the value of v
(4)
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4



*P76198A0424* 
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