$63$ SSM To push a $25\mathrm{.}0$ kg crate up a frictionless incline, angled at $25\mathrm{.}0$ to the horizontal, a worker exerts a force of $209$ N parallel to the incline. As the crate slides $1\mathrm{.}50$ m $,$ how much work is done on the crate by $($a$)$ the worker's applied force, $($b$)$ the gravitational force on the crate, and $($c$)$ the normal force exerted by the incline on the crate? $($d$)$ What is the total work done on the crate?