Elasticity AdvancedHardQuestion 30895
Question
A rubber cord of natural length L, cross-section A, elastic modulus E, is stretched to length 2L. Elastic potential energy stored is:
- AEAL/2Correct
- BEAL
- C2EAL
- DEAL/4
Correct answer
EAL/2
Explanation
Extension ΔL = L, strain = 1. Energy = ½ × stress × strain × volume = ½ × (E×1) × 1 × (AL) = EAL/2.