plumiMass and energy: AQA A‑Level Physics questions
AQA A-Level Physics past-paper questions on 3.12.3.5 Mass and energy, 2008–2025, with mark schemes and examiner’s reports where available.
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Q04.1
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All 24 questions on Mass and energy, as a list
- June 2024, Paper 3 Turning points, Q04.1 (1 mark): A potential difference (pd) of 1.30 MV is used to accelerate the electrons. Show that each electron gains approximately 2 × 10−13 J of kinetic energy. [1 mark]
- June 2024, Paper 3 Turning points, Q04.2 (2 marks): These electrons cause the temperature of the aluminium block to increase by 68.0 K. The number of electrons that cause this increase in temperature is 4.50 × 10
- June 2024, Paper 3 Turning points, Q04.3 (4 marks): The speed of the electrons between the detector and the block is 2.88 × 108 m s−1. Student A suggests that the non-relativistic equation for kinetic energy coul
- June 2024, Paper 3 Turning points, Q04.5 (4 marks): The electrons in Figure 3 were accelerated from rest in 13 stages. In each stage the electrons were accelerated by a pd of 100 kV. As a result, an electron incr
- June 2023, Paper 3 Turning points, Q04.3 (3 marks): Show that the kinetic energy Ek of the proton is about 1.2 × 10−10 J. [3 marks]
- June 2023, Paper 3 Turning points, Q04.4 (3 marks): Sketch on Figure 4 the variation of Ek with speed v for a proton. To help you, the dashed line represents Ek = 2 0 1 2 m v where m0 is equal to the mass of a pr
- June 2022, Paper 3 Turning points, Q04.1 (1 mark): Bertozzi investigated how the kinetic energy of electrons varies with speed. Which graph shows the variation of kinetic energy with speed? Tick () one box. [1
- June 2022, Paper 3 Turning points, Q04.2 (3 marks): Calculate the speed of a particle when its kinetic energy is equal to its rest energy. [3 marks] speed = m s−1
- June 2022, Paper 3 Turning points, Q04.3 (2 marks): Discuss the change in the observed mass of a spring when it is stretched. [2 marks]
- June 2019, Paper 3 Turning points, Q04.1 (2 marks): Classical mechanics predicts that Ek ∝ v2. Deduce whether the data in Table 1 are consistent with this prediction. [2 marks]
- June 2019, Paper 3 Turning points, Q04.2 (4 marks): Discuss how Einstein’s theory of special relativity explains the data in Table 1. [4 marks]
- June 2019, Paper 3 Turning points, Q04.3 (3 marks): Calculate, in J, the kinetic energy of one electron travelling at a speed of 0.95c. [3 marks] kinetic energy = J
- June 2017, Paper 3 Turning points, Q05 (3 marks): Cosmic rays detected on a spacecraft are protons with a total energy of 3.7 × 109 eV. Calculate the velocity of the protons as a fraction of the speed of light.
- June 2016, PHYA5 Turning points (old spec), Q4(b)(i) (3 marks): An electron travelling with this energy has a velocity v. Show that the value of (1– –– ) – is about 2.1 × 10–5. [3 marks] v2 c2 1 2
- June 2016, PHYA5 Turning points (old spec), Q4(c) (2 marks): Draw a graph on Figure 4 to show how the relativistic mass of an electron varies with speed as it is accelerated from rest. Rest mass of an electron = m0 [2 mar
- June 2015, PHYA5 Turning points (old spec), Q4(b)(i) (2 marks): Show that the total energy of an electron that has been accelerated to a speed of 0.98c is about 4 × 10–13 J. [2 marks]
- June 2015, PHYA5 Turning points (old spec), Q4(b)(ii) (1 mark): The total energy of an electron travelling at a speed of 0.97c is 3.37 × 10–13 J. Calculate the potential difference required to accelerate an electron from a s
- June 2013, PHYA5 Turning points (old spec), Q4(a) (2 marks): Calculate the speed of a particle at which its mass is twice its rest mass. speed ms–1 (2 marks)
- June 2013, PHYA5 Turning points (old spec), Q4(b) (3 marks): Use the axes below to show how the mass m of a particle changes from its rest mass mo as its speed v increases from zero. Mark and label on the graph the point
- June 2013, PHYA5 Turning points (old spec), Q4(c) (2 marks): By considering the relationship between the energy of a particle and its mass, explain why the theory of special relativity does not allow a matter particle to
- June 2012, PHYA5 Turning points (old spec), Q3(b)(i) (2 marks): Show that the electron has a de Broglie wavelength of 1.24 × 10–12 m. (2 marks)
- June 2012, PHYA5 Turning points (old spec), Q3(b)(iii) (2 marks): Calculate the kinetic energy of an electron with a de Broglie wavelength of 1.24 × 10–12 m. Give your answer to an appropriate number of significant figures. an
- June 2011, PHYA5 Turning points (old spec), Q4(b) (5 marks): A proton is moving at a speed of 1.8 × 10 8ms –1 Calculate the ratio kinetic energy of the proton rest energy of the proton answer = (5 marks)
- June 2008, PHA8W (2008 spec), Q4 (6 marks): 4 A particle has a rest mass of 1.9 × 10 –28 kg. Calculate 4 (i) the speed of the particle at which its mass would be 9.5 × 10 –28 kg, 4 (ii) the kinetic energy
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