Show that the elastic potential energy per unit volume of a rod stretched longitudinally is `1/2 times stress times strai n`.

Potential energy per unit volume of a stretched wire is

In a stretched wire, potential energy stored per unit volume = 1/2 "times_____times_____" [Fill in the blanks]

Show that the product of pressure times volume, PV, has the dimension of energy.

Show that if n identical conductors are joined in series, the combined resistance is n^2 times as great as when they are joined in parallel.

What is elastic potential energy of stretched wire? Show that the energy density of a stretched wire is (Yl^2)/(2L^2) (symbols have their usual meanings).

Find the elastic deformation energy of a steel rod of mass m=3.1 kg stretched by a tensile strain 1.0xx10^-3 . (Density of steel 7.8xx10^3 kg//m^3 )

A steel rod has a radius of 1 cm and a length of 1m. A 100 kN force stretches it along its length. Calculate (i) the stress, (ii) elongation and (iii) percentage strain on the rod. Given that young's modulus of elasticity for the steel rod =2xx10^(11)N//m^(2) .