Question

1. 30 - 20 = 40 20 n 10 - 55 = 45 10 n 55 n 20 n net force: 45 n forces are: balanced unbalanced object will: not accelerate accelerate

Explanation:

Step1: Resolve vertical forces

The upward - acting force is \(20N\) and the downward - acting force is \(20N\). The net vertical force \(F_y=20 - 20=0N\).

Step2: Resolve horizontal forces

The right - acting force is \(55N\) and the left - acting force is \(10N\). The net horizontal force \(F_x=55 - 10 = 45N\).

Step3: Calculate net force

Since \(F_y = 0N\) and \(F_x=45N\), the net force \(F_{net}=\sqrt{F_x^{2}+F_y^{2}}=\sqrt{45^{2}+0^{2}} = 45N\).

Step4: Determine force nature

Since the net force is non - zero (\(F_{net}=45N\)), 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 acting on an object, the object will accelerate.

Answer:

Net force: \(45N\)
Forces are: unbalanced
Object will: accelerate