# WME01 Mechanics 1 (M1) Oct/Nov 2025 Paper 01

Pearson Edexcel International A Level WME01 Mechanics 1 (M1) past paper 01, Oct/Nov 2025. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/wme01/2025-oct-nov-paper-01/
- PDF: https://mathvsarham.com/papers/wme01/WME01_oct-nov_2025_paper_01_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International A Level
- Subject: WME01 Mechanics 1 (M1) (https://mathvsarham.com/past-papers/wme01/)
- Session: Oct/Nov 2025
- Paper: 01
- Component code: WME01/01
- Time allowed: 90 minutes
- Total marks: 75
- Pages: 28

## Question paper text

Extracted automatically from the PDF; diagrams are missing and notation may be imperfect.

Question 1
[Diagram or table: see page 2 of the paper]
Figure 1 shows a sketch of a beam AB, with weight 240 N and length 8 m.
The beam is held in equilibrium in a horizontal position by two vertical ropes. The ropes are attached to the beam at the points C and D, where AC = 2 m and DB = x metres.
The beam is modelled as a uniform rod and the ropes are modelled as light inextensible strings.
The tension in the rope at D is 90 N.
(a) Show that x = 2/3 [3]
The rope at C will break if its tension exceeds 183 N. The rope at D cannot break. A package of weight W newtons is now attached to the beam at A. The beam remains horizontal and in equilibrium.
The package is modelled as a particle.
It is given that the rope at C does not break.
(b) Find the greatest possible value of W. [4]

Question 2
[Diagram or table: see page 6 of the paper]
Particle P of mass 7m and particle Q of mass 3m are moving in opposite directions along the same straight line on a smooth horizontal surface. The particles collide directly.
Immediately before the collision, the speed of P is ku and the speed of Q is u, as shown in Figure 2.
Immediately after the collision, the speed of P is w and the speed of Q is 2w.
The direction of motion of Q is reversed by the collision.
The impulse received by Q in the collision has magnitude 7/2 mu.
(a) Find w in terms of u. [3]
(b) Find the two possible values of k. [5]

Question 3
[Diagram or table: see page 8 of the paper]
A particle P of mass 2 kg moves on a smooth horizontal surface under the action of two forces F_1 and F_2, where F_1= (–2i + 3j) N and F_2= (4i + 2j) N.
(a) Find the acceleration of P. [3]
At time t = 0, the velocity of P is (3i – 4j) m s^–1
(b) Find the speed of P when t = 3 seconds. [4]
An additional force, F_3= (bi + cj) N, is applied to P.
The resultant of F_1, F_2 and F_3 is equal to λ(i + j) N, where λ is a constant.
(c) Show that b – c = 3 [3]
The resultant of F_1, F_2 and F_3 has magnitude 10 2 N.
(d) Find the two possible F_3 forces. [4]

Question 4
The point A is 10 m above horizontal ground. At time t = 0, a particle P is projected vertically upwards with speed 5 m s^–1 from A. Particle P moves freely under gravity.
(a) Find the greatest height above A reached by P. [3]
The point B is on the ground, vertically below A. At time t = 1 second, a particle Q is projected vertically upwards with speed 7 m s^–1 from B. Particle Q moves freely under gravity.
Particles P and Q collide at time t = T seconds.
(b) Find the value of T. [4]
(c) Find the speed of P at the instant immediately before the particles collide. [2]

Question 5
[Diagram or table: see page 16 of the paper]
A box of mass 4 kg is placed on a rough horizontal surface.
A force of magnitude P newtons, acting at 30° to the horizontal, is applied to the box, as shown in Figure 3.
The coefficient of friction between the box and the surface is 2/3
The box is modelled as a particle.
(a) Find the value of P when the box is on the point of sliding along the surface. [6]
The value of P is now increased to 25 and the box moves along the surface.
Find
(b) the acceleration of the box, [5]
(c) the speed of the box when it has moved 1.5 m. [2]

Question 6
[Diagram or table: see page 20 of the paper]
The point O lies on a straight horizontal road. At time t = 0, a car leaves O and travels along the road.
The velocity-time graph in Figure 4 shows the velocity, v m s^–1, of the car at time t seconds for the first 35 seconds of its journey.
(a) Find
(i) the acceleration of the car for the period 0  t  10
(ii) the deceleration of the car for the period 30  t  35 [2]
(b) Sketch an acceleration-time graph for the car for the period 0  t  35 [2]
(c) Find the distance travelled by the car for the period 0  t  35 [2]
When t = 5, a motorcycle starts from rest at O. The motorcycle travels along the same road as the car and in the same direction.
For the period 5  t  20, the acceleration of the motorcycle is A m s^–2, where A is a positive constant.
The motorcycle catches up with the car when t = 20
(d) Find the value of A. [4]

Question 7
[Diagram or table: see page 24 of the paper]
A block P of mass 2m is held at rest on a fixed rough plane.
The plane is inclined to the horizontal at an angle α, where tan α = 5/12
One end of a light inextensible string is attached to P. The string is parallel to a line of greatest slope of the plane and passes over a smooth light pulley which is fixed at the top of the plane. The other end of the string is attached to a block Q of mass 5m. Block Q hangs vertically below the pulley, as shown in Figure 5.
The system is released from rest with the string taut and block P moves up the plane.
Immediately after the system is released, the tension in the string is T and the acceleration of the blocks is a.
The blocks are modelled as particles and air resistance is ignored.
(a) Write down an equation of motion for Q. [2]
The coefficient of friction between P and the plane is 1/8
(b) Find T in terms of m and g. [7]
(c) State how the solution to part (b) uses the fact that the string is inextensible. [1]
The magnitude of the force exerted on the pulley by the string is kmg.
(d) Find the value of k to 3 significant figures. [4]