What is the net horizontal force in the diagram below? SI unit symbol must be provided and answer to two (2) significant figures. The sign (- or +) should only be used if the net force is negative, indicating the net force is directed to the left (←). A positive answer indicates the net force is directed to the right (→), and no sign is required (e.g. +).

Question

What is the net horizontal force in the diagram below? SI unit symbol must be provided and answer to two (2) significant figures. The sign (- or +) should only be used if the net force is negative, indicating the net force is directed to the left (←). A positive answer indicates the net force is directed to the right (→), and no sign is required (e.g. +).

BlackTom AI · Accepted Answer

Begin by identifying all the forces acting on the object. The vertical forces are 35 N upward and 35 N downward, which cancel each other out, leaving no net vertical force.
Now focus on the horizontal forces: there is a 25 N force directed to the left and a 10 N force directed to the right. To determine the net horizontal force, combine these forces by summing with sign convention: treat right as positive and left as negative.
Net horizontal force = (+10 N) + (−25 N) = −15 N. The negative sign indicates the resultant is directed to the left.
In terms of magnitude, the net horizontal force is 15 N. Since the leftward direction is specified by a negative sign, the signed result would be −15 N if a sign is required. However, when reporting magnitude with the given two significant figures requirement, you obtain 15 N.
Therefore, the horizontal component dominates to the left, while the vertical components cancel, yielding a net force with a magnitude of 15 N directed to the left. (Remember to keep the sign convention consistent: right = positive, left = negative, up = positive, down = negative.)

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