The figure below shows two identical small, charged spheres. One of mass 4.3 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge q₁ = -3.1 μC. The thread makes an angle of 18° with the vertical, resulting in the spheres being aligned horizontally, a distance r apart. Determine the charge 92 on the hanging sphere. nC 20.0 cm 18⁰. 91 92

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The figure below shows two identical small, charged spheres. One of mass 4.3 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge \( q_1 = -3.1 \, \mu C \). The thread makes an angle of 18° with the vertical, resulting in the spheres being aligned horizontally, a distance \( r \) apart. Determine the charge \( q_2 \) on the hanging sphere.

\[ \text{_______ nC} \]

**Explanation of the Diagram:**
The diagram illustrates two small charged spheres, denoted as \( q_1 \) and \( q_2 \). Sphere \( q_1 \) is fixed in position, and sphere \( q_2 \) is hanging from an insulating thread that is 20.0 cm long and forms an angle of 18° with the vertical. The spheres align horizontally with a distance \( r \) separating them. The illustration provides a visual representation of the physical setup for determining the charge \( q_2 \) on the hanging sphere. The provided mass of sphere \( q_2 \) is 4.3 grams.

Remember to convert the given units appropriately during calculations, if needed, and use the principles of electrostatic force and tension to solve for the charge \( q_2 \).
Transcribed Image Text:The figure below shows two identical small, charged spheres. One of mass 4.3 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge \( q_1 = -3.1 \, \mu C \). The thread makes an angle of 18° with the vertical, resulting in the spheres being aligned horizontally, a distance \( r \) apart. Determine the charge \( q_2 \) on the hanging sphere. \[ \text{_______ nC} \] **Explanation of the Diagram:** The diagram illustrates two small charged spheres, denoted as \( q_1 \) and \( q_2 \). Sphere \( q_1 \) is fixed in position, and sphere \( q_2 \) is hanging from an insulating thread that is 20.0 cm long and forms an angle of 18° with the vertical. The spheres align horizontally with a distance \( r \) separating them. The illustration provides a visual representation of the physical setup for determining the charge \( q_2 \) on the hanging sphere. The provided mass of sphere \( q_2 \) is 4.3 grams. Remember to convert the given units appropriately during calculations, if needed, and use the principles of electrostatic force and tension to solve for the charge \( q_2 \).
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