Physics 9702 · AS & A Level · Elastic and plastic behaviour

Elastic and plastic behaviour — practice question

A rubber band is stretched and then allowed to return to its original length. The diagram displays the force-extension graph for this process. As the force rises, the curve traces the route OPQ to extension $e$. As the force falls, the curve follows QRO to go back to zero extension. The region marked X lies between the curves OPQ and QRO. The region marked Y is enclosed by the curve QRO and the horizontal axis. Which statement about the process is correct?

  • AArea X is the energy which heats the band as it is stretched to $e$.
  • B(Area X + area Y) is the minimum energy required to stretch the band to $e$.
  • CArea X is the elastic potential energy stored in the band when it is stretched to $e$.
  • D(Area Y - area X) is the net work done on the band during the process.

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