f) Calculate the maximum velocity and kinetic energy of the proton assuming it started from rest; express its final energy in electron-volts (eV) V. max S Ex = eV %3D g) Explain why you would not be able to calculate the final velocity of the electron (given the information provided in the problem).

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**Educational Content on Proton and Electron Dynamics**

### Analysis of Proton and Electron Dynamics in an Electric Field

#### Task Instructions:

d) **Potential Energy Analysis:**
   - Identify a position on the diagram where an electron (e) would have the highest potential energy.
   - Repeat the identification for a proton (p).

e) **Predictive Path for a Proton:**
   - Forecast the trajectory of a proton if it were released from the dot marked as location X.
   - Use a dotted line to illustrate the proton's path on the diagram.

f) **Velocity and Kinetic Energy Calculation:**
   - Determine the maximum velocity and kinetic energy of the proton, assuming it initially rests.
   - Express the final energy in electron-volts (eV).

   - Formulae:
     - \( v_{\text{max}} = \underline{\hspace{40px}} \, \frac{m}{s} \)
     - \( E_k = \underline{\hspace{40px}} \, \text{eV} \)

g) **Electron Velocity Limitation Discussion:**
   - Discuss why it's not possible to calculate the final velocity of an electron, based on the given information.

#### Diagram Explanation:
The text refers to a diagram presumably showing electric field lines or potential contours. Unfortunately, the diagram isn't visible, but the tasks suggest that it involves analyzing the motion of charged particles (electrons and protons) in electric fields and calculating related physical quantities.
Transcribed Image Text:**Educational Content on Proton and Electron Dynamics** ### Analysis of Proton and Electron Dynamics in an Electric Field #### Task Instructions: d) **Potential Energy Analysis:** - Identify a position on the diagram where an electron (e) would have the highest potential energy. - Repeat the identification for a proton (p). e) **Predictive Path for a Proton:** - Forecast the trajectory of a proton if it were released from the dot marked as location X. - Use a dotted line to illustrate the proton's path on the diagram. f) **Velocity and Kinetic Energy Calculation:** - Determine the maximum velocity and kinetic energy of the proton, assuming it initially rests. - Express the final energy in electron-volts (eV). - Formulae: - \( v_{\text{max}} = \underline{\hspace{40px}} \, \frac{m}{s} \) - \( E_k = \underline{\hspace{40px}} \, \text{eV} \) g) **Electron Velocity Limitation Discussion:** - Discuss why it's not possible to calculate the final velocity of an electron, based on the given information. #### Diagram Explanation: The text refers to a diagram presumably showing electric field lines or potential contours. Unfortunately, the diagram isn't visible, but the tasks suggest that it involves analyzing the motion of charged particles (electrons and protons) in electric fields and calculating related physical quantities.
**Exercise Instructions**

1. Use the simulation to create the pattern of equipotential lines shown below.

**Diagram Explanation:**

- The diagram displays a series of concentric circles representing equipotential lines around two point charges.
- The equipotential lines are labeled with voltage values: 30 V, 40 V, and 50 V.
- The lines near the center of each charge are closer together, indicating a stronger electric field in those areas.
  
**Questions:**

a) Indicate the polarity and the number of charges in each location.

b) Draw the electric field on the two 50 V equipotential lines. (Focus on the direction and the relative number of field lines)

c) Describe what the electric field lines represent.

**Instructions:**

- Analyze the diagram to determine the polarity of the charges.
- Consider how electric field lines are perpendicular to equipotential lines when drawing them.
- Electric field lines indicate the direction of the force that a positive test charge would experience. Lines are denser where the field is stronger.
Transcribed Image Text:**Exercise Instructions** 1. Use the simulation to create the pattern of equipotential lines shown below. **Diagram Explanation:** - The diagram displays a series of concentric circles representing equipotential lines around two point charges. - The equipotential lines are labeled with voltage values: 30 V, 40 V, and 50 V. - The lines near the center of each charge are closer together, indicating a stronger electric field in those areas. **Questions:** a) Indicate the polarity and the number of charges in each location. b) Draw the electric field on the two 50 V equipotential lines. (Focus on the direction and the relative number of field lines) c) Describe what the electric field lines represent. **Instructions:** - Analyze the diagram to determine the polarity of the charges. - Consider how electric field lines are perpendicular to equipotential lines when drawing them. - Electric field lines indicate the direction of the force that a positive test charge would experience. Lines are denser where the field is stronger.
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