$11\%)$ Problem $2$: The free$-$body diagram shows the all of the forces acting on an object of mass m $=7\mathrm{.}43$ kg$.$ The three forces have magnitudes F$\_\{1\}=14\mathrm{.}7$N; F $2=20.$I N $,$ and F$\_\{3\}=15\mathrm{.}2$N $,$ with directions as indicted in the diagram, where $=31\mathrm{.}6$ degrees.

Part a$-$ write an expression for the x component of the acceleration in terms of the symbols in the problem statment?

Part b$-$ write an expression for the y component of the acceleration in terms of the stmbols in the problem statment.

Part c$-$ what is the magnitude of the acceleration in m$/$s$^2?$

Part D$-$ what angle in degrees does the acceleration make woth respect to the postive x$-$axis?