What is the strain energy per unit volume of a rod made from this metal when the strain of the rod is 0.010?
Correct answer: D. 10 MJ m−3
- A. 10 kJ m−3
- B. 100 kJ m−3
- C. 1.0 MJ m−3
- D. 10 MJ m−3
Explanation
To calculate the strain energy per unit volume (also known as strain energy density), you use the formula: strain energy per unit volume = (1/2) × stress × strain.Given that the strain is 0.010, and assuming the stress is calculated using Young's modulus of the material (for example, 2 × 109 Pa), the calculation would be:strain energy per unit volume = (1/2) × (2 × 109 Pa) × 0.010 = 10 × 106 J m−3 = 10 MJ m−3Thus, the correct answer is 10 MJ m−3. All other options are incorrect because they either underestimate or overestimate the strain energy density based on improper calculations or incorrect assumptions.
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