(a)[2]
State two SI base units apart from kilogram, metre and second.
(b)
A metal wire of original length $l_0$ is hung vertically as shown in Fig. 1.1. Its weight makes it stretch. The elastic potential energy stored in the wire is $E$.
(b(i))[2]
Show that the SI base units for $E$ are $\text{kg m}^2 \text{s}^{-2}$.
(b(ii))[3]
The elastic potential energy $E$ is described by $E = C\rho^{2} g^{2} A l_0^{3}$, where $\rho$ represents the density of the metal, $g$ is the acceleration of free fall, $A$ denotes the cross-sectional area of the wire and $C$ is a constant. Determine the SI base units for $C$.