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A Levels Physics (9702)•9702/13/M/J/18
Question 19 from 9702/13/M/J/18

Explanation

Strain energy is the area under the force-extension graph for a spring.

Steps:

  • The graph is linear, following Hooke's law, forming a right triangle from (0,0) to maximum extension and force.
  • Strain energy U = (1/2) × base (extension) × height (force).
  • From the graph, maximum extension = 0.2 m, maximum force = 6000 N.
  • U = 0.5 × 0.2 × 6000 = 600 J.

Why C is correct:

  • The formula for elastic strain energy in a linear spring is (1/2)Fe, where F is force and e is extension, yielding 600 J as the triangular area.

Why the others are wrong:

  • A: 60 J ignores the 1/2 factor in the area formula.
  • B: 120 J misapplies units or partial area calculation.
  • D: 1200 J uses full rectangle area Fe instead of triangular (1/2)Fe.

Final answer: C

Topic: Elastic and plastic behaviour

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