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Part A

Suppose a 10 kg cubic box is at rest on a horizontal surface. There is friction between the box and the surface characterized by a coefficient of static friction equal to 0.50. If one person pushes on the box with a force F1 of 25 N directed due north and a second person pushes on the box with a force F2 = 25 N directed due south, what is the magnitude and direction of the force of static friction acting on the box?

System: Box as point particle subject to external influences from the earth (gravity) the surface (normal force and friction) and the two people (applied forces).

Model: Point Particle Dynamics.

Approach: To determine the force of static friction, we first find the net force in the absence of friction. We first draw the situation. A top view (physical representation) and a side view (free body diagram) of the box ignoring any contribution from friction are shown here.

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