The relay shown in $($Figure $1)$ regulates voltage and current. The spring $CD$ has a stiffness of $k=120\frac{N}{m}$ Assume that the angle of $10$ in case $($a$)$ is small enough to consider the spring to be vertical.

Figure

$1$ of $1$

determine the force in the spring when the coil is energized and attracts the armature to E $,$figure $($b$),$ thereby breaking contact with A$.$