Forces in action

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Question 33
Medium

A sample of an alloy wire is stretched by an increasing force F F\,F until its extension reaches 4.5 mm (point PPP), after which it is fully unloaded. The force-extension graph for this loading and unloading cycle is shown below.

Force-extension graph

Which option correctly states the permanent extension of the wire and the elastic strain energy recovered by the wire during the unloading phase?

Permanent extension =1.5 mm= 1.5\text{ mm}=1.5 mm; elastic strain energy recovered =1.80 J= 1.80\text{ J}=1.80 J

Permanent extension =3.0 mm= 3.0\text{ mm}=3.0 mm; elastic strain energy recovered =0.90 J= 0.90\text{ J}=0.90 J

Permanent extension =1.5 mm= 1.5\text{ mm}=1.5 mm; elastic strain energy recovered =0.90 J= 0.90\text{ J}=0.90 J

Permanent extension =3.0 mm= 3.0\text{ mm}=3.0 mm; elastic strain energy recovered =1.35 J= 1.35\text{ J}=1.35 J

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