The crate has a mass of $(m=125+2x$ crate is hoisted up the $30$ incline by the pulley system and motor $M.$ If the coefficients of static and kinetic friction between the crate and the surface are ${}_S=0\mathrm{.}15$ and ${}_K=0\mathrm{.}10.$ The motor exerts a force through the cable and given by$,F(s)=750+(2\mathrm{.}1x)s^2.$ Where $s,$ is the distance travelled along the incline plane.

Given that the crate starts from rest, the motor has an efficiency of $=0\mathrm{.}75,$ and the crate travels $0\mathrm{.}825m$ along the inclined plane.

Q$1)$ Calculate the speed of the cart in $(\frac{m}{s})?.$

Q$2)$ Calculate the power that must be supplied to the motor in $(KW)?$