The net force is A) 9 newtons to the right
Explanation:
In order to find the net force, we have to use vector addition.
First of all, we have to define a positive direction for the vectors. We take the following convention:
To the right = positive direction
To the left = negative direction
Therefore, the two forces acting on the object are:
- A force of 22 N to the right --> therefore we can write it as [tex]F_1 = +22 N[/tex] (positive)
- A force of 13 N to the left --> therefore we can write it as [tex]F_2 = -13 N[/tex] (negative)
Since the two forces act on the same line, we can calculate theire resultant simply by adding them together with the proper sign. Therefore, the net force is
[tex]F=F_1 + F_2 = 22 N + (-13 N)=+9 N[/tex]
And the sign of the net force (positive) tells us that the direction is to the right.
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