The net force on the center of the rope is C. 14 N West
Explanation:
We have two forces acting on the rope:
- The force applied by Jack, 82 N, towards East
- The force applied by Tony, 96 N, towards West
Taking East as positive direction, we can rewrite the two forces as
where the second force is negative since its direction is west.
The two forces act along the same line, so we can calculate their resultant by simply calculating their algebraic sum. Therefore:
And the negative sign tells us that the direction is West.
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