Problem $1$: This problem involves a linear machine where the length of the bar $($l$)$ is $0\mathrm{.}5$ m$,$ VT is $240$ V$,$ RA is $3,$ and the magnetic field is $5$ T a$)$ Find the initial starting force magnitude and final speed assuming lossless conditions. $(5$ points$)$ b$)$ Now assume that a force is applied such that the bar is moving at a velocity of $30$ m$/$s$.$ Find the power associated with the battery and the power associated with