A parcel on a loading dock experiences three horizontal forces: due east

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A 3 kg3\,\text{kg} parcel on a loading dock experiences three horizontal forces: 12 N12\,\text{N} due east, 16 N16\,\text{N} due south, and 9 N9\,\text{N} due west. Which of the following gives both the magnitude of the parcel’s acceleration and its direction measured south of east? (a) 5.4 m/s25.4\,\text{m/s}^2 at 11∘11^{\circ} south of east (b) 8.8 m/s28.8\,\text{m/s}^2 at 37∘37^{\circ} south of east (c) 5.4 m/s25.4\,\text{m/s}^2 at 79∘79^{\circ} south of east (d) 1.8 m/s21.8\,\text{m/s}^2 at 79∘79^{\circ} south of east

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