a steel wire of 6m is stretched through 3 x 10-3 m The cross sectional area of the wire - Physics -

Question

a steel wire of 6m is stretched through 3 x 10-3 m
The cross sectional area of the wire is
2 x 10-6m2 If the young's modulus of the
steel is 2 x 1011 N/m2, find the elastic
energy density of the wire

Somnath physics · Accepted Answer

Here,
Y = 2×1011 Nm-2
L = 6 m
x = 3×10-3 m
CSA = 2×10-6 m2
â€‹
FAxL=Y=>F=YALxAgain from law of force on an elastic material
F=kxComparing both eqn we havek=YALPotential energy stored in the
wireU=12kx2=>U=YA2Lx2Energy density =
UAL=Y2(xL)2=2×10112×(3×10−36)2=25 kJ/m3

a steel wire of 6m is stretched through 3 x 10-3 m. The cross sectional area of the wire is 2 x 10-6m2. If the young's modulus of the steel is 2 x 1011 N/m2, find the elastic energy density of the wire.

a steel wire of 6m is stretched through 3 x 10^-3m. The cross sectional area of the wire is

2 x 10^-6m². If the young's modulus of the steel is 2 x 10¹¹N/m², find the elastic energy density of the wire.