College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Two small spheres each have a mass m of 0.400 g and are suspended as pendulums by light insulating strings from a common point, as shown in the figure below. The spheres are given the same electric charge, and the two come to equilibrium when each string is at an angle of θ= 4.00∘; with the vertical.
If each string is 1.00 m long, what is the magnitude of the charge on each sphere? (Express your answer to three significant figures.)
![**Transcription for Educational Website**
---
### Problem Description
Two small spheres each have a mass \( m \) of 0.400 g and are suspended as pendulums by light insulating strings from a common point, as shown in the figure below. The spheres are given the same electric charge, and the two come to equilibrium when each string is at an angle of
\[ \theta = 4.00^\circ \]
with the vertical.
---
### Diagram Explanation
**Diagram Description:**
- The diagram shows two identical spheres each with mass \( m \).
- Both spheres are hanging from a common point.
- Each sphere is attached to the common point by a light insulating string of length \( L \).
- The strings form angles \( \theta \) with the vertical, each having a value of \( 4.00^\circ \).
The diagram includes the following labels:
- \( L \): The length of the string from the common point to the sphere.
- \( \theta \), \( \theta \): The angles of the strings with respect to the vertical direction.
- \( m \), \( m \): Masses of the spheres.
**Figure Illustration:**
```
____
|
|
/ \θ θ/\
/ \ / \
L m m L
```
---
### Question
1) If each string is 1.00 m long, what is the magnitude of the charge on each sphere? \( (Express\ your\ answer\ to\ three\ significant\ figures.) \)
\[ q = \boxed{\quad} \]
---](https://content.bartleby.com/qna-images/question/4e5d9c11-2652-45ac-b8ce-e6ebe48b24de/1f7b1253-c802-435f-8540-a2cee8e30cd1/w8xuvlm_processed.png)
Transcribed Image Text:**Transcription for Educational Website**
---
### Problem Description
Two small spheres each have a mass \( m \) of 0.400 g and are suspended as pendulums by light insulating strings from a common point, as shown in the figure below. The spheres are given the same electric charge, and the two come to equilibrium when each string is at an angle of
\[ \theta = 4.00^\circ \]
with the vertical.
---
### Diagram Explanation
**Diagram Description:**
- The diagram shows two identical spheres each with mass \( m \).
- Both spheres are hanging from a common point.
- Each sphere is attached to the common point by a light insulating string of length \( L \).
- The strings form angles \( \theta \) with the vertical, each having a value of \( 4.00^\circ \).
The diagram includes the following labels:
- \( L \): The length of the string from the common point to the sphere.
- \( \theta \), \( \theta \): The angles of the strings with respect to the vertical direction.
- \( m \), \( m \): Masses of the spheres.
**Figure Illustration:**
```
____
|
|
/ \θ θ/\
/ \ / \
L m m L
```
---
### Question
1) If each string is 1.00 m long, what is the magnitude of the charge on each sphere? \( (Express\ your\ answer\ to\ three\ significant\ figures.) \)
\[ q = \boxed{\quad} \]
---
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