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Elastic strain energyEdexcel A-Level Physics: Flashcards

What these 12 flashcards ask

  • What does the area under a force–extension graph represent?
  • Give the equation for elastic strain energy of a material obeying Hooke's law.
  • Why is there a factor ½ in Eel = ½Fx?
  • A spring has F = 15 N at x = 0.060 m. What energy is stored?
  • What happens to the stored energy if the extension of a Hooke's law spring is doubled?
  • How do you find the energy stored when the graph is a curve?
  • What is the area of one trapezium strip of width h?
  • How do you convert N mm to J?
  • When does the trapezium rule underestimate the area?
  • What energy transfer occurs when a stretched spring launches a trolley?
  • If the stored energy doubles, by what factor does the speed of the object it launches change?
  • Why is the work done in stretching not F × x?

Exam questions on Elastic strain energy

  1. A spring of stiffness 250 N m⁻¹ obeys Hooke's law. It is extended by 0.060 m.
    The spring is attached to a trolley of mass 0.30 kg on a frictionless horizontal track. When released from this extension, all of the stored energy becomes kinetic energy of the trolley. Calculate the maximum speed of the trolley.2 marks
  2. A metal wire obeys Hooke's law up to a force of 40 N, at which its extension is 2.0 mm.
    A student calculates the work done in stretching the wire to 40 N as 40 N × 2.0 mm = 0.080 J. Explain why this is incorrect and give the correct value.2 marks
  3. A strip of elastic polymer is stretched within its elastic limit, and the force is measured at 2.0 mm intervals of extension. The readings are: 0 N at 0 mm, 3.0 N at 2.0 mm, 5.0 N at 4.0 mm, 6.0 N at 6.0 mm and 6.5 N at 8.0 mm. The graph of force against extension is a curve whose gradient decreases as the extension increases.
    Estimate the elastic energy stored in the strip when its extension is 4.0 mm.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).