The figure below shows two forces F1 and F2 acting together on an object. Which of the red vectors represents the resultant force F1+F2, in terms of the direction and magnitude?

Question

BlackTom AI · Accepted Answer

The question asks for the resultant F1+F2 when two forces act together on an object, which means we should add the vectors tip-to-tail and look at the overall direction and magnitude.
Option (a): A purely vertical downward vector would occur only if the horizontal components of F1 and F2 canceled each other exactly and the vertical components summed to a downward direction. In the figure, both forces point somewhat to the right, so there is a significant horizontal component; thus a purely vertical resultant is unlikely.
Option (b): A diagonal vector pointing downward and to the right represents a resultant with a downward vertical component that persists after summing. Since F1 has an upward component and F2 has a downward component, depending on their magnitudes, the vertical parts may partially cancel, but there is still a net rightward component. The downward tilt is less consistent with the overall rightward push shown by the two forces.
Option (c): A horizontal rightward vector indicates that the vertical components of F1 and F2 nearly cancel each other, leaving mainly the horizontal components to add up. In the diagram, both forces point to the right with some vertical separation, suggesting a strong rightward resultant with minimal vertical net effect, matching a horizontal resultant.
Option (d): A diagonal vector pointing upward and to the right implies a net upward vertical component remains after summing, which would require the upward components to exceed the downward ones. The figure’s directions for F1 and F2 do not strongly favor a persistent upward resultant; the vertical parts are more balanced toward a horizontal outcome.
Overall, the most consistent depiction of the resultant given the two blue forces is a net rightward push with little vertical bias, which corresponds to a horizontal rightward red vector.

Math & Science Prep Program Placement Assessment

The figure below shows two forces F1 and F2 acting together on an object. Which of the red vectors represents the resultant force F1+F2, in terms of the direction and magnitude?

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