
A metal wire has original length
. It is then suspended and hangs vertically as shown in the figure below.
The weight of the wire causes it to stretch. The elastic potential energy stored in the wire is
.
Show that the SI base units of
are
.
The elastic potential energy
is given by

Where:
is the density of the metal,
is the acceleration of free fall,
is the cross-sectional area of the wire and
is a constant.
Determine the SI base units of
.