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AP Physics 2
10.1 Electric Charge and Electric Force
AdvancedMCQConceptual19k
Two light insulating strings of identical length hang from a single support point on a horizontal ceiling. The left string holds a small sphere labeled 1 with mass m and charge +Q, inclined at an angle theta1 relative to a central vertical dashed reference line. The right string holds a small sphere labeled 2 with mass 2m and charge +3Q, inclined at an angle theta2 relative to the same central vertical dashed reference line. Both spheres are rendered symmetrically with respect to the vertical reference line. No other labels, lines, text, or axes appear.
Suspended repelling charged spheres in static equilibrium.
Two small insulating spheres, 1 and 2, are suspended from a common support point on a ceiling by lightweight insulating strings of equal length. Sphere 1 has mass \(m_1 = m\) and charge \(q_1 = +Q\), while sphere 2 has mass \(m_2 = 2m\) and charge \(q_2 = +3Q\). The spheres repel each other and reach static equilibrium with their supporting strings making angles \(\theta_1\) and \(\theta_2\) relative to the vertical, respectively. Which of the following correctly compares the deflection angles \(\theta_1\) and \(\theta_2\) and provides a valid justification?

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