Question

net force: n
forces are: balanced unbalanced
object will: not accelerate accelerate
16 n
42 n 21 n
16 n

Explanation:

Step1: Analyze vertical forces

The upward force is $16N$ and the downward force is $16N$. The net - vertical force $F_y=16 - 16=0N$.

Step2: Analyze horizontal forces

The left - hand force is $42N$ and the right - hand force is $21N$. The net - horizontal force $F_x=42 - 21 = 21N$.

Step3: Calculate the net force

Using the Pythagorean theorem for the net force $F_{net}=\sqrt{F_x^{2}+F_y^{2}}$. Since $F_y = 0N$, $F_{net}=21N$.

Step4: Determine force balance

Since $F_{net}
eq0N$, the forces are unbalanced.

Step5: Determine object's motion

According to Newton's second law ($F = ma$), when there is a non - zero net force, the object will accelerate.

Answer:

Net force: $21$ N
Forces are: unbalanced
Object will: accelerate