Question

Please calculate the normal force and the acceleration show all work please

Answer 1

`\begin{gathered} \text{From the fre}e\text{ body diagram} \\ \uparrow+\Sigma Fy=0 \\ F_(norm)-F_(grav)=0 \\ F_(norm)=F_(grav) \\ F_(norm)=80N \\ \text{The normal force is 80N} \\ \\ F_(grav)=mg \\ \text{Solving m} \\ m=(F_(grav))/(g) \\ m=\frac{\text{80N}}{9.81m/s^2} \\ m=8.15kg \\ The\text{ mass is }=8.15kg \\ \\ \rightarrow+\Sigma Fx=ma \\ F_(app)-F_(frict)=ma \\ 50N-10N=ma \\ 40N=ma \\ \text{Solving a} \\ a=(40N)/(m) \\ a=(40N)/(8.15kg) \\ a=4.9\text{ }m/s^2 \\ \text{The acceleration is }4.9\text{ }m/s^2 \end{gathered}`