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Can anyone explain this:
Question 81: [Young modulus]
Elastic material with Young modulus E is subjected to tensile stress S. Hooke’s Law is obeyed.
What is the expression for elastic energy stored per unit volume of material?
A S2 / 2E B S2 / E C E / 2S2 D 2E / S2
Reference: Past Exam Paper – June 2014 Paper 13 Q23
Solution 81:
Answer: A.
Elastic energy = ½ Fx
Elastic energy per unit volume = (½ Fx) / V
[Volume V = AL] Elastic energy per unit volume = (½ Fx) / AL.
[F / A = S] Elastic energy per unit volume = Sx / 2L
[Strain = x / L] Elastic energy per unit volume = S {strain} / 2
[Young modulus, E = stress S / strain. So, strain = S / E]
Elastic energy per unit volume = SS / 2E = S2 / 2E
SOURCE: http://physics-ref.blogspot.com/2014/11/physics-9702-doubts-help-page-15.html
Question 81: [Young modulus]
Elastic material with Young modulus E is subjected to tensile stress S. Hooke’s Law is obeyed.
What is the expression for elastic energy stored per unit volume of material?
A S2 / 2E B S2 / E C E / 2S2 D 2E / S2
Reference: Past Exam Paper – June 2014 Paper 13 Q23
Solution 81:
Answer: A.
Elastic energy = ½ Fx
Elastic energy per unit volume = (½ Fx) / V
[Volume V = AL] Elastic energy per unit volume = (½ Fx) / AL.
[F / A = S] Elastic energy per unit volume = Sx / 2L
[Strain = x / L] Elastic energy per unit volume = S {strain} / 2
[Young modulus, E = stress S / strain. So, strain = S / E]
Elastic energy per unit volume = SS / 2E = S2 / 2E
SOURCE: http://physics-ref.blogspot.com/2014/11/physics-9702-doubts-help-page-15.html