Work and energy: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on M2.3 Work and energy, 2019–2025, with its mark scheme and examiner’s report.
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All 26 questions on Work and energy, as a list
- June 2025, Mechanics 2 (M2), Q4 (12 marks): A rough plane is inclined to the horizontal at an angle α, where sin α = 1 7 A car of mass 750 kg moves up a line of greatest slope of the plane. The total resi
- June 2025 (A), Mechanics 2 (M2), Q4 (12 marks): The combined mass of a cyclist and her cycle is 70 kg. The cyclist travels on a straight horizontal road with constant acceleration 0.4 m s –2 The resistance to
- January 2025, Mechanics 2 (M2), Q1 (5 marks): P α Figure 1 A fixed rough plane is inclined to the horizontal at an angle α, where tan 5 12 A package P of mass 2.6 kg is placed on the plane, as shown in Figu
- January 2025, Mechanics 2 (M2), Q2 (11 marks): 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 ri
- October 2024, Mechanics 2 (M2), Q3 (9 marks): α Figure 1 A van of mass 900 kg is moving up a straight road inclined at an angle α to the horizontal, where sin . 1 25 The van is towing a trailer of mass 200
- June 2024, Mechanics 2 (M2), Q4 (10 marks): A rough plane is inclined to the horizontal at an angle α, where tan 3 4 A particle P of mass m is held at rest at a point A on the plane. The particle is then
- January 2024, Mechanics 2 (M2), Q3 (9 marks): A 6 m B α Figure 1 A rough ramp is fixed to horizontal ground. The ramp is inclined to the horizontal at an angle α, where sin α = 3 7 The line AB is a line of
- January 2024, Mechanics 2 (M2), Q5 (9 marks): α Figure 4 A van of mass 600 kg is moving up a straight road inclined at an angle α to the horizontal, where sin α = 1 14 . The van is towing a trailer of mass
- October 2023, Mechanics 2 (M2), Q5 (13 marks): A cyclist is travelling on a straight horizontal road and working at a constant rate of 500 W. The total mass of the cyclist and her cycle is 80 kg. The total r
- June 2023, Mechanics 2 (M2), Q6 (12 marks): A van of mass 900 kg is moving along a straight horizontal road. The resistance to the motion of the van is modelled as a constant force of magnitude 600 N. The
- January 2023, Mechanics 2 (M2), Q1 (8 marks): A truck of mass 1500 kg is moving on a straight horizontal road. The engine of the truck is working at a constant rate of 30 kW. The resistance to the motion of
- January 2023, Mechanics 2 (M2), Q5 (10 marks): A B U m s–1 θ 2.5 m Figure 2 A rough straight ramp is fixed to horizontal ground. The ramp is inclined at an angle θ to the horizontal, where tan θ = 5 12 The p
- October 2022, Mechanics 2 (M2), Q2 (5 marks): A car of mass 900 kg is moving down a straight road which is inclined at an angle α to the horizontal, where sin α = 1 12 The engine of the car is working at a
- October 2022, Mechanics 2 (M2), Q8 (14 marks): [In this question, the unit vectors i and j are in a vertical plane, with i being horizontal and j being vertically upwards.] A B C α 15 m U m s –1 (24i + 7j)
- June 2022, Mechanics 2 (M2), Q4 (8 marks): A truck of mass 900 kg is moving along a straight horizontal road with the engine of the truck working at a constant rate of P watts. The resistance to the moti
- June 2022, Mechanics 2 (M2), Q8 (14 marks): B C A α Figure 4 Figure 4 shows a rough ramp fixed to horizontal ground. The ramp is inclined at angle α to the ground, where tan α = 1 6 The point A is on the
- January 2022, Mechanics 2 (M2), Q2 (9 marks): A car of mass 600 kg tows a trailer of mass 200 kg up a hill along a straight road that is inclined at angle θ to the horizontal, where sin θ = 1 20 . The trail
- October 2021, Mechanics 2 (M2), Q1 (7 marks): B A d α Figure 1 A particle of mass m is held at rest at a point A on a rough plane. The plane is inclined at an angle α to the horizontal, where tan α = 5 12 T
- October 2021, Mechanics 2 (M2), Q2 (8 marks): A vehicle of mass 450 kg is moving on a straight road that is inclined at angle θ to the horizontal, where sin θ = 1 15 At the instant when the vehicle is movin
- June 2021, Mechanics 2 (M2), Q1 (5 marks): A motorcyclist and his motorcycle have a combined mass of 480 kg. The motorcyclist drives down a straight road that is inclined at an angle θ to the horizontal,
- June 2021, Mechanics 2 (M2), Q6 (15 marks): A (2 kg) 2 m P θ X B (3 kg) Y Figure 4 Two particles, A and B, of mass 2 kg and 3 kg respectively, are connected by a light inextensible string. Particle A is h
- January 2021, Mechanics 2 (M2), Q3 (8 marks): A car of mass 600 kg travels along a straight horizontal road with the engine of the car working at a constant rate of P watts. The resistance to the motion of
- October 2020, Mechanics 2 (M2), Q2 (9 marks): A truck of weight 9000 N is travelling up a hill on a straight road that is inclined at an angle θ to the horizontal, where sin θ = 1 15 When the truck travels
- October 2020, Mechanics 2 (M2), Q6 (10 marks): A 15 m B α Figure 3 A rough straight ramp is fixed to horizontal ground. The ramp has length 15 m and is inclined at an angle α to the ground, where tan α = 5 1
- January 2020, Mechanics 2 (M2), Q1 (5 marks): A cyclist and his bicycle have a total mass of 75 kg. The cyclist is moving down a straight road that is inclined at an angle Į to the horizontal, where sin Į =
- January 2020, Mechanics 2 (M2), Q2 (6 marks): 4 m s–1 2.5 m B A ș Figure 1 A rough straight ramp is fixed to horizontal ground. The ramp is inclined at an angle ș to the horizontal, where sin ș = 1 7 . The
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