Three point charges are placed at the vertices of an equilateral triangle of side : at

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

Three point charges are placed at the vertices of an equilateral triangle of side 6 cm6\,\text{cm}: q1=+2 μCq_1 = +2\,\mu\text{C} at (0 cm,0 cm)(0\,\text{cm}, 0\,\text{cm}), q2=+2 μCq_2 = +2\,\mu\text{C} at (6 cm,0 cm)(6\,\text{cm}, 0\,\text{cm}), and q3=−2 μCq_3 = -2\,\mu\text{C} at (3 cm,5.2 cm)(3\,\text{cm}, 5.2\,\text{cm}). Determine the magnitude and direction of the net force on q1q_1. Express the direction as the angle measured counter-clockwise from the +x+x-axis. (Take k=9×109 N m2 C−2k = 9 \times 10^{9}\,\text{N}\,\text{m}^2\,\text{C}^{-2}.) (a) 10 N at 60∘10\,\text{N at }60^{\circ} (b) 10 N at 120∘10\,\text{N at }120^{\circ} (c) 5.1 N at 105∘5.1\,\text{N at }105^{\circ} (d) 17.3 N at 30∘17.3\,\text{N at }30^{\circ}

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