Current Attempt in Progress

The figure shows a cold package of hot dogs sliding rightward across a frictionless floor through a distance $d=23\mathrm{.}0cm$ while three forces act on the package. Two of them are horizontal and have the magnitudes $F_1=6\mathrm{.}0N$ and $F_2=1\mathrm{.}0N$; the third is angled down by $=60\mathrm{.}0$ and has the magnitude $F_3=7\mathrm{.}0N.($a$)$ For the $23\mathrm{.}0$ cm displacement, what is the net work done on the package by the three applied forces, the gravitational force on the package, and the normal force on the package? $($b$)$ If the package has a mass of $4\mathrm{.}0$ kg and an initial kinetic energy of $0,$ what is its speed $($in $\frac{m}{s})$ at the end of the displacement?

$($a$)$ Number Units

$($b$)$ Number Units