A wire of length L is stretched by a length E when a force F is applied at one end. If the elastic limit is not exceeded the amount of energy stored in the wire is_________________?
Correct answer: B. (FE)
- A. FE
- B. (FE)
- C. FE2/L
- D. FE2
Explanation
For a linearly elastic wire, the stored energy equals the triangular area under the force-extension graph: E = 1/2 x F x E, in joules when F is in newtons and E is in metres. The likely mistake is FE, which is the rectangular area and omits the factor 1/2.
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Potential energy is energy stored because of position or configuration, including gravitational potential energy near Earth's surface and elastic energy in a stretched or compressed spring. Questions use changes in potential energy and conservation of mechanical energy, while distinguishing a chosen reference level from an absolute zero of energy.
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