what is meant by elastic potential energy? Deerive an expression for the elastic potential energy of streched wire. Prove that its elasic energy density is equal to 1/2 x stress x strain

what is meant by elastic potential energy? Deerive an expression for t

1.	what is meant by elastic potential energy? Deerive an expression for the elastic potential energy of streched wire. Prove that its elasic energy density is equal to 1/2 x stress x strain
Answer» Solution :ENERGY Density = `("Energy")/("VOLUME") =((1)/(2) (AY)/(L)x^(2))/(AL)` `=(1)/(2)((AY x)/(L))(x)/(L)` `=(1)/(2)(F)/(A)xx(x)/(L) ""[because Y=(FL)/(Ax)]` `=(1)/(2)"stress" xx"STRAIN"`