plumiWork, energy and power: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on MC Work, energy and power, 2019–2025, with its mark scheme and examiner’s report.
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All 47 questions on Work, energy and power, as a list
- June 2025, Paper 3 Mechanics, Q1 (1 mark): A motorcycle has a maximum speed of 44 m s–1 on a straight, horizontal road. The maximum power of the motorcycle is 55 kilowatts. Find the magnitude of the tota
- June 2025, Paper 3 Mechanics, Q2 (1 mark): The graph shows how a force F newtons varies with displacement x metres. O 10 x F 8 Find the work done by the force as the displacement increases from x = 5 to
- June 2025, Paper 3 Mechanics, Q5 (6 marks): In this question use g = 9.81 m s–2 A ball of mass 0.5 kg is projected with an initial speed of 16 m s–1 from a point on a horizontal surface. 5 (a) Calculate t
- June 2025, Paper 3 Mechanics, Q11 (10 marks): In this question use g = 9.8 m s–2 A rough slope is inclined at an angle of 30° to the horizontal. A light elastic string has natural length 0.8 metres and modu
- June 2025, AS Paper 2 Mechanics, Q3 (4 marks): 3_ A light elastic string has a modulus of elasticity of 20 newtons and a natural length of 0.5 metres. _ One end of the string is attached to a fixed point. _
- June 2025, AS Paper 2 Mechanics, Q7 (5 marks): 7_ A car of mass 900 kg is travelling along a straight horizontal road. _ The car experiences a constant resistance force of 500 newtons. 7 (a)_ At a particular
- June 2025, AS Paper 2 Mechanics, Q9 (7 marks): 9_ A block of mass 4 kg rests on a horizontal surface. _ The block is attached to one end of a light elastic string. _ The other end of the string is attached t
- June 2024, Paper 3 Mechanics, Q6 (10 marks): In this question use g = 9.8 m s–2 A light elastic string has natural length 3 metres and modulus of elasticity 18 newtons. One end of the elastic string is att
- June 2024, Paper 3 Mechanics, Q9 (8 marks): A small sphere, of mass m, is attached to one end of a light inextensible string of length a The other end of the string is attached to a fixed point O The sphe
- June 2024, AS Paper 2 Mechanics, Q1 (1 mark): An elastic string has modulus of elasticity 20 newtons and natural length 2 metres. The string is stretched so that its extension is 0.5 metres. Find the elasti
- June 2024, AS Paper 2 Mechanics, Q4 (8 marks): (a) Calculate the initial kinetic energy of the ball. [1 mark] 4 (b) Assuming that the weight is the only force acting on the ball, use an energy method to show
- June 2024, AS Paper 2 Mechanics, Q5 (4 marks): Kang is riding a motorbike along a straight, horizontal road. The motorbike has a maximum power of 75 000 W The maximum speed of the motorbike is 50 m s–1 When
- June 2023, Paper 3 Mechanics, Q6 (12 marks): In this question use g = 10 m s−2 A sphere of mass 0.8 kg is attached to one end of a string of length 2 metres. The other end of the string is attached to a fi
- June 2023, Paper 3 Mechanics, Q8 (13 marks): In this question use g = 9.8 m s−2 A block has mass 10 kg and is at rest 1 metre from a fixed point O on a horizontal surface. One end of an elastic string is a
- June 2023, AS Paper 2 Mechanics, Q1 (1 mark): A particle moves along the x-axis under the action of a force, F newtons, where F = 3x2 + 5 Find the work done by the force as the particle moves from x = 0 met
- June 2023, AS Paper 2 Mechanics, Q3 (1 mark): A stone of mass 0.2 kg is thrown vertically upwards with a speed of 10 m s–1 Find the initial kinetic energy of the stone. Circle your answer. [1 mark] 1 J 5 J
- June 2023, AS Paper 2 Mechanics, Q8 (7 marks): (a) Given that Omar just reaches the surface of the river before being pulled back up, find the value of L Fully justify your answer. [5 marks] 8 (b) If Omar is
- June 2023, AS Paper 2 Mechanics, Q9 (12 marks): Christina is investigating two possible models for the resistance force, R newtons, acting on a car when it is moving in a straight line on a horizontal road. S
- June 2022, Paper 3 Mechanics, Q2 (1 mark): A car of mass 1200 kg is travelling at a constant speed of 18 m s−1 on a straight horizontal road. The car experiences a total resistive force of 240 newtons. C
- June 2022, Paper 3 Mechanics, Q5 (4 marks): A train of mass 10 000 kg is travelling at 0.3 m s−1 when it collides with a buffer. The buffer brings the train to rest. As the buffer brings the train to rest
- June 2022, Paper 3 Mechanics, Q8 (8 marks): In this question use g as 9.8 m s−2 A rope is used to pull a crate, of mass 60 kg, along a rough horizontal surface. The coefficient of friction between the cra
- June 2022, AS Paper 2 Mechanics, Q1 (1 mark): A box is being pushed in a straight line along horizontal ground by a force. The force is applied in the direction of motion and has magnitude 10 newtons. The b
- June 2022, AS Paper 2 Mechanics, Q3 (4 marks): In this question use g = 9.8 m s−2 A ball of mass of 0.75 kg is thrown vertically upwards with an initial speed of 12 m s−1 The ball is thrown from ground level
- June 2022, AS Paper 2 Mechanics, Q5 (5 marks): A car, of mass 1000 kg, is travelling on a straight horizontal road. When the car travels at a speed of v m s−1, it experiences a resistance force of magnitude
- June 2022, AS Paper 2 Mechanics, Q8 (8 marks): A particle, of mass 3 kg, is attached to one end of an elastic string. The particle is placed on a smooth horizontal table. The other end of the string is attac
- November 2021, Paper 3 Mechanics, Q1 (1 mark): A spring of natural length 50 cm and modulus of elasticity l newtons has an elastic potential energy of 4 J when compressed by 5 cm. Find the value of l Circle
- November 2021, Paper 3 Mechanics, Q6 (4 marks): A ball of mass m kg is held at rest at a height h metres above a horizontal surface. The ball is released and bounces on the surface. The coefficient of restitu
- November 2021, Paper 3 Mechanics, Q7 (9 marks): A light string has length 1.5 metres. A small sphere is attached to one end of the string. The other end of the string is attached to a fixed point O A thin hor
- November 2021, Paper 3 Mechanics, Q8 (11 marks): In this question use g = 9.8 m s−2 A lift is used to raise a crate of mass 250 kg The lift exerts an upward force of magnitude P newtons on the crate. When the
- November 2021, Paper 3 Mechanics, Q9 (10 marks): In this question use g = 9.81 m s−2 A conical pendulum is made from an elastic string and a sphere of mass 0.2 kg The string has natural length 1.6 metres and m
- November 2021, AS Paper 2 Mechanics, Q1 (1 mark): A light spring of natural length 0.6 metres is compressed to a length of 0.4 metres by a force of 20 newtons. The stiffness of the spring is k N m−1 Find k Circ
- November 2021, AS Paper 2 Mechanics, Q3 (5 marks): Use g as 9.8 m s−2 in this question. A pump is used to pump water out of a pool. The pump raises the water through a vertical distance of 5 metres and then ejec
- November 2021, AS Paper 2 Mechanics, Q7 (8 marks): Use g as 9.81 m s−2 in this question. A light elastic string has one end attached to a fixed point A on a smooth plane inclined at 25° to the horizontal. The ot
- November 2020, Paper 3 Mechanics, Q2 (1 mark): The tension, T newtons, in a spring is given by T = 20e , where e metres is the extension of the spring. Calculate the work done when the extension is increased
- November 2020, Paper 3 Mechanics, Q4 (8 marks): A car has mass 1000 kg and travels on a straight horizontal road. The maximum speed of the car on this road is 48 m s−1 In a simple model, it is assumed that th
- November 2020, Paper 3 Mechanics, Q7 (8 marks): In this question use g = 9:8 m s−2 A box, of mass 8 kg, is on a rough horizontal surface. A string attached to the box is used to pull it along the surface. The
- November 2020, AS Paper 2 Mechanics, Q1 (1 mark): In this question use g = 10 m s−2 A particle of mass 2 kg is attached to one end of a light elastic string of natural length 0.5 metres and modulus of elasticit
- November 2020, AS Paper 2 Mechanics, Q2 (1 mark): An object moves under the action of a single force F newtons. It is given that F = 6x2 , where x represents the displacement in metres from the initial position
- November 2020, AS Paper 2 Mechanics, Q5 (5 marks): A train consisting of an engine and eight carriages moves on a straight horizontal track. A constant resistive force of 2400 N acts on the engine. A constant re
- November 2020, AS Paper 2 Mechanics, Q7 (9 marks): In this question use g = 9.8 m s−2 As part of a competition, Jo-Jo makes a small pop-up rocket. It is operated by pressing the rocket vertically downwards to co
- June 2019, Paper 3 Mechanics, Q1 (1 mark): A spring has natural length 0.4 metres and modulus of elasticity 55 N Calculate the elastic potential energy stored in the spring when the extension of the spri
- June 2019, Paper 3 Mechanics, Q4 (8 marks): In this question use g = 10 m s−2 An inelastic string has length 1.2 metres. One end of the string is attached to a fixed point O. A sphere, of mass 500 grams,
- June 2019, Paper 3 Mechanics, Q7 (9 marks): A particle of mass 2.5 kilograms is attached to one end of a light, inextensible string of length 75 cm. The other end of this string is attached to a point A.
- June 2019, Paper 3 Mechanics, Q8 (11 marks): In this question use g = 9.8 m s−2 A ‘reverse’ bungee jump consists of two identical elastic ropes. One end of each elastic rope is attached to either side of t
- June 2019, AS Paper 2 Mechanics, Q2 (1 mark): The graph shows the resistance force experienced by a cyclist over the first 20 metres of a bicycle ride. Force (N) Displacement (m) 200 12 20 Find the work don
- June 2019, AS Paper 2 Mechanics, Q5 (7 marks): A car of mass 1000 kg has a maximum speed of 40 m s−1 when travelling on a straight horizontal race track. The maximum power output of the car’s engine is 48 kW
- June 2019, AS Paper 2 Mechanics, Q6 (9 marks): In this question use g = 9.8 m s−2 Martin, who is of mass 40 kg, is using a slide. The slide is made of two straight sections AB and BC. The section AB has leng
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