A small sphere of charge q = +67 µC and mass m = 5.0 g is attached to a light string and placed in a uniform electric field E that makes an angle e = 36° with the horizontal. The opposite end of the string is attached to a wall and the sphere is in static equilibrium when the string is horizontal as in the figure shown below. (a) Construct a free body diagram for the sphere. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Find the magnitude of the electric field. N/C (c) Find the tension in the string. (Enter the magnitude of the tension in the string.) N

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Chapter1: Units, Trigonometry. And Vectors
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A small sphere of charge \( q = +67 \, \mu \text{C} \) and mass \( m = 5.0 \, \text{g} \) is attached to a light string and placed in a uniform electric field \( \vec{E} \) that makes an angle \( \theta = 36^\circ \) with the horizontal. The opposite end of the string is attached to a wall and the sphere is in static equilibrium when the string is horizontal as in the figure shown below:

[Image of a sphere attached to a string, with the string horizontal. The electric field \( \vec{E} \) is at an angle \( \theta \) to the horizontal.]

_(a) Construct a free body diagram for the sphere._ (Submit a file with a maximum size of 1 MB.)

[No file chosen button]

This answer has not been graded yet.

_(b) Find the magnitude of the electric field._

\[\text{Answer box for N/C} \]

_(c) Find the tension in the string._ (Enter the magnitude of the tension in the string.)

\[\text{Answer box for N} \] 

**Diagram Explanation:**

The diagram depicts a wall on the left with a horizontal string extending from it. At the end of the string, there is a sphere. The electric field \( \vec{E} \) is shown by an arrow making an angle \( \theta = 36^\circ \) with the horizontal.
Transcribed Image Text:A small sphere of charge \( q = +67 \, \mu \text{C} \) and mass \( m = 5.0 \, \text{g} \) is attached to a light string and placed in a uniform electric field \( \vec{E} \) that makes an angle \( \theta = 36^\circ \) with the horizontal. The opposite end of the string is attached to a wall and the sphere is in static equilibrium when the string is horizontal as in the figure shown below: [Image of a sphere attached to a string, with the string horizontal. The electric field \( \vec{E} \) is at an angle \( \theta \) to the horizontal.] _(a) Construct a free body diagram for the sphere._ (Submit a file with a maximum size of 1 MB.) [No file chosen button] This answer has not been graded yet. _(b) Find the magnitude of the electric field._ \[\text{Answer box for N/C} \] _(c) Find the tension in the string._ (Enter the magnitude of the tension in the string.) \[\text{Answer box for N} \] **Diagram Explanation:** The diagram depicts a wall on the left with a horizontal string extending from it. At the end of the string, there is a sphere. The electric field \( \vec{E} \) is shown by an arrow making an angle \( \theta = 36^\circ \) with the horizontal.
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