An isolated water molecule is modeled as two point charges ±0.600e separated by 0.0680 nm. Its rotational inertia is 2.93 x 10-47 kg-m2 about the axis shown in the figure below. The molecule is in a uniform electric field of magnitude 436 N/C. If the molecule is initially at rest at 0 = 90.0°, what is its angular speed when it reaches 0= 0, assuming no other forces or torques? +q Axis of rotation |rad/s

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**Educational Content: Analyzing the Angular Speed of a Water Molecule Model in an Electric Field**

**Problem Statement**
An isolated water molecule is modeled as two-point charges, ±0.600e, separated by 0.0680 nm. Its rotational inertia is 2.93 × 10⁻⁴⁷ kg·m² about the axis shown in the figure below. The molecule is in a uniform electric field of magnitude 436 N/C. If the molecule is initially at rest at θ = 90.0°, what is its angular speed when it reaches θ = 0, assuming no other forces or torques?

**Diagram Explanation**
The diagram illustrates the model of a water molecule:

- **Charges**: Two-point charges are depicted, with a positive charge (+q) and a negative charge (-q).
- **Separation Distance (d)**: The charges are separated by a distance of 0.0680 nm.
- **Electric Field (E⃗ )**: A uniform electric field vector is shown pointing to the right, with a magnitude of 436 N/C.
- **Forces**: The forces acting on each charge due to the electric field (F⃗ + and F⃗ -) are shown as vectors pointing in the direction of the field for the positive charge and opposite to the field for the negative charge.
- **Axis of Rotation**: The axis of rotation is marked, which is perpendicular to the line connecting the two charges.

**Calculation Box**
A box is provided to enter the calculated angular speed in radians per second (rad/s).

By analyzing this system, students can explore concepts such as rotational inertia, electric fields, and angular motion.
Transcribed Image Text:**Educational Content: Analyzing the Angular Speed of a Water Molecule Model in an Electric Field** **Problem Statement** An isolated water molecule is modeled as two-point charges, ±0.600e, separated by 0.0680 nm. Its rotational inertia is 2.93 × 10⁻⁴⁷ kg·m² about the axis shown in the figure below. The molecule is in a uniform electric field of magnitude 436 N/C. If the molecule is initially at rest at θ = 90.0°, what is its angular speed when it reaches θ = 0, assuming no other forces or torques? **Diagram Explanation** The diagram illustrates the model of a water molecule: - **Charges**: Two-point charges are depicted, with a positive charge (+q) and a negative charge (-q). - **Separation Distance (d)**: The charges are separated by a distance of 0.0680 nm. - **Electric Field (E⃗ )**: A uniform electric field vector is shown pointing to the right, with a magnitude of 436 N/C. - **Forces**: The forces acting on each charge due to the electric field (F⃗ + and F⃗ -) are shown as vectors pointing in the direction of the field for the positive charge and opposite to the field for the negative charge. - **Axis of Rotation**: The axis of rotation is marked, which is perpendicular to the line connecting the two charges. **Calculation Box** A box is provided to enter the calculated angular speed in radians per second (rad/s). By analyzing this system, students can explore concepts such as rotational inertia, electric fields, and angular motion.
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