A forceF$($x$)=(4\mathrm{.}0$x$2+5\mathrm{.}0$x$)$Nacts on a particle. $($a$)$ How much work $($in J$)$ does the force do on the particle as it moves fromx$=7\mathrm{.}0$mtox$=9\mathrm{.}0$m$?1($b$)$ Picking a convenient reference point of the potential energy to be zero atx$=0,$ find the potential energy for this force. $($Use the following as necessary:x$.$ AssumeU$($x$)$is in joules andxis in meters. Do not include units in your answer.$)\backslash [$ u$($x$)=-\backslash$frac$\{4\}\{3\}$ x$^\{3\}+\backslash$frac$\{5\}\{2\}$ x$^\{2\}\backslash ]$