8310 N
Explanation
Step 1
Free Body Diagram
Step 1
Newton's first law says that if the net force on an object is zero, then that object will have zero acceleration
so
[tex]\begin{gathered} \sum ^{\square}_{\square}x=F_1-F_2\cos 37=0 \\ \text{replace} \\ F_1-F_2\cos 37=0\rightarrow equation\text{ (1)} \end{gathered}[/tex]
and
[tex]\begin{gathered} \sum ^{\square}_{\square}y=F_2\sin 37-w=0 \\ \text{replace} \\ F_2\sin 37-w=0 \\ F_2\sin 37-5.0\cdot10^3=0 \\ so \\ F_2=\frac{5\cdot10^3}{\sin \text{ 37}} \\ F_2=8308.2\text{ N} \\ \text{rounded} \\ F_2=8310\text{ N} \end{gathered}[/tex]
therefore, the answer
8310 N
I hope this helps you
