plumiHooke's law, work, energy and power: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 3.2 Hooke's law, work, energy and power, 2018–2025, with its mark scheme and examiner’s report.
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All 19 questions on Hooke's law, work, energy and power, as a list
- Summer 2025, Unit 6, Q1 (16 marks): 1. A car, of mass 2250 kg, is moving along a straight horizontal road. The engine of the car is working at a constant rate of 96 kW. The car experiences a varia
- Summer 2025, AS Unit 3, Q5 (9 marks): 5. A light elastic string, of natural length 1∙4 m and modulus of elasticity 156∙8 N, has one end attached to a fixed point O and the other end attached to a pa
- Summer 2025, AS Unit 3, Q6 (10 marks): 6. A vehicle, of mass 2500 kg, is travelling on a straight road which has a horizontal section followed by an incline. When in motion, the vehicle experiences a
- Summer 2025, AS Unit 3, Q7 (14 marks): 7. The diagram below shows part of a ‘Crazy Golf’ course. This part of the course consists of a straight horizontal section AB, leading into a circular loop, fo
- Summer 2024, AS Unit 3, Q2 (10 marks): 2. The diagram below shows a light spring of natural length 1∙2 m and modulus of elasticity 84 N. One end of the spring A is fixed and the other end is attached
- Summer 2024, AS Unit 3, Q3 (5 marks): Three forces k N , k N and i j 4 7 9 5 i 3 j 8 2 i 6 j 11 k N act on a particle. 3. Find the resultant R of the three forces. (a) [1]
- Summer 2024, AS Unit 3, Q6 (10 marks): 6. A slope is inclined at an angle of 5° to the horizontal. A car, of mass 1500 kg, has an engine that is working at a constant rate of P W. The resistance to m
- Summer 2023, AS Unit 3, Q1 (10 marks): 1. One end of a light elastic string, of natural length 0∙2 m and modulus of elasticity 5g N, is attached to a fixed point O. The other end is attached to a par
- Summer 2023, AS Unit 3, Q4 (13 marks): 4. Geraint is a cyclist competing in a race along the Taff Trail. The Taff Trail is a track that runs from Cardiff Bay to Brecon. The chart below shows the alti
- Summer 2023, AS Unit 3, Q6 (15 marks): 6. The diagram shows a slide, ABC, at a water park. The shape of the slide may be modelled by two circular arcs, AB and BC, in the same vertical plane. Arc AB h
- Summer 2022, AS Unit 3, Q2 (11 marks): 2. The diagram below shows a woman standing at the end of a diving platform. She is about to dive into the water below. The woman has mass 60 kg and she may be
- Summer 2022, AS Unit 3, Q4 (9 marks): A particle P of mass 0∙5 kg is in equilibrium under the action of three forces F1, F2 and F3. 4. F1 = (9i + 6j – 12k) N and F2 = (6i – 7j + 3k) N. Find the forc
- Summer 2022, AS Unit 3, Q5 (14 marks): 5. One end of a light elastic string, of natural length 2∙5 m and modulus of elasticity 30g N, is fixed to a point O. A particle P, of mass 2 kg, is attached to
- Summer 2022, AS Unit 3, Q6 (10 marks): 6. A vehicle of mass 3500 kg is moving up a slope inclined at an angle α to the horizontal. When the vehicle is travelling at a velocity of v ms–1, the resistan
- Summer 2019, AS Unit 3, Q1 (8 marks): 1. The diagram shows a spring of natural length 0∙15 m enclosed in a smooth horizontal tube. One end of the spring A is fixed and the other end B is compressed
- Summer 2019, AS Unit 3, Q2 (10 marks): A particle of mass 0∙5 kg is moving under the action of a single force F N so that its velocity 2. v ms–1 at time t seconds is given by v = 3t2 i – 8tj + 2e–tk.
- Summer 2019, AS Unit 3, Q4 (9 marks): 4. A car of mass 1200 kg has an engine that is capable of producing a maximum power of 80 kW. When in motion, the car experiences a constant resistive force of
- Summer 2018, AS Unit 3, Q2 (10 marks): A car of mass 750 kg is moving on a slope inclined at an angle θ to the horizontal, where 2. sinθ = 0.1. When the car’s engine is working at a constant power P
- Summer 2018, AS Unit 3, Q3 (10 marks): A light elastic string of natural length 1.5 m and modulus of elasticity 490 N has one end attached 3. to a fixed point A and the other end attached to a partic
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