Below you have a system with a charge q1 that has a value below and a proton.  This proton is initially moving towards q1 and a velocity vi (see image).  The distances of the proton from q1 initially and finally are also given below the image. q1 = 4.50 x 10-12 C xi = 17.0 m xf = 0.300 m As the proton approaches q1, it slows to a stop a distance xf from the q1. Find the initial velocity (vi) of the proton.  Be careful with any assumptions about 0 values

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Below you have a system with a charge q1 that has a value below and a proton.  This proton is initially moving towards q1 and a velocity vi (see image).  The distances of the proton from q1 initially and finally are also given below the image.

q1 = 4.50 x 10-12 C

xi = 17.0 m

xf = 0.300 m

As the proton approaches q1, it slows to a stop a distance xf from the q1.

Find the initial velocity (vi) of the proton.  Be careful with any assumptions about 0 values.

 

 

### Electrostatic Interaction between Charges

This illustration demonstrates an electrostatic interaction between a charged particle \( q_1 \) and a proton as they move from an initial to a final state.

#### Diagram Explanation

The diagram is divided into two main sections:

1. **Initial State:**
   - On the left side, there is a positively charged particle labeled \( q_1 \).
   - On the right side, there is a proton.
   - The initial separation between \( q_1 \) and the proton is denoted as \( x_i \).
   - An arrow labeled \( v_i \) indicates the initial velocity of the proton moving towards \( q_1 \).

2. **Final State:**
   - Both \( q_1 \) and the proton remain positively charged.
   - The separation between \( q_1 \) and the proton in the final state is denoted as \( x_f \).

The purpose of this setup could be to analyze the changes in electrostatic forces, potential energy, or motion dynamics as the charges interact.

#### Given Values
- **Charge (\( q_1 \))**: \( 4.50 \times 10^{-12} \text{ C} \)
- **Initial Separation (\( x_i \))**: \( 17.0 \text{ m} \)
- **Final Separation (\( x_f \))**: \( 0.300 \text{ m} \)

These values are essential for calculating the electrostatic force, potential energy, and changes in kinetic energy as the proton moves toward \( q_1 \).

This diagram and the accompanying values provide a foundational understanding of electrostatic principles and can help in solving various problems related to charge interactions.
Transcribed Image Text:### Electrostatic Interaction between Charges This illustration demonstrates an electrostatic interaction between a charged particle \( q_1 \) and a proton as they move from an initial to a final state. #### Diagram Explanation The diagram is divided into two main sections: 1. **Initial State:** - On the left side, there is a positively charged particle labeled \( q_1 \). - On the right side, there is a proton. - The initial separation between \( q_1 \) and the proton is denoted as \( x_i \). - An arrow labeled \( v_i \) indicates the initial velocity of the proton moving towards \( q_1 \). 2. **Final State:** - Both \( q_1 \) and the proton remain positively charged. - The separation between \( q_1 \) and the proton in the final state is denoted as \( x_f \). The purpose of this setup could be to analyze the changes in electrostatic forces, potential energy, or motion dynamics as the charges interact. #### Given Values - **Charge (\( q_1 \))**: \( 4.50 \times 10^{-12} \text{ C} \) - **Initial Separation (\( x_i \))**: \( 17.0 \text{ m} \) - **Final Separation (\( x_f \))**: \( 0.300 \text{ m} \) These values are essential for calculating the electrostatic force, potential energy, and changes in kinetic energy as the proton moves toward \( q_1 \). This diagram and the accompanying values provide a foundational understanding of electrostatic principles and can help in solving various problems related to charge interactions.
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