Govt. Exams
Entrance Exams
When a wire stretches under load, elastic potential energy is stored due to the deformation of the material, which can be calculated using the relationship between stress, strain, and the extension.
Step 1: Identify the Elastic Potential Energy Formula
Elastic potential energy stored in a stretched wire is given by the work done against the restoring force during extension.
Step 2: Apply Forces and Calculate
The force stretching the wire is the weight of the block: \(F = Mg\)
The extension of the wire is: \(\Delta L = l\)
Substituting into the elastic potential energy formula:
The elastic potential energy stored in the extended wire is \(\boxed{\frac{1}{2}Mgl}\)
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