Once more, please refer to the figure. This time the charge is 3.77 x 10^-6 C, the magnetic field strength is 2.59 T and the electric field strength is 6.38 x 10^5 N/C. The charge experiences a total force of magnitude 15.00 N as it enters the region. What is its speed as it enters the region?     6.45E+05 m/s     1.68E+06 m/s     2.45E+06 m/s     1.29E+06 m/s

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Chapter1: Units, Trigonometry. And Vectors
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Once more, please refer to the figure. This time the charge is 3.77 x 10^-6 C, the magnetic field strength is 2.59 T and the electric field strength is 6.38 x 10^5 N/C. The charge experiences a total force of magnitude 15.00 N as it enters the region. What is its speed as it enters the region?
   
6.45E+05 m/s
   
1.68E+06 m/s
   
2.45E+06 m/s
   
1.29E+06 m/s
### Diagram Description:

The image illustrates the motion of a charged particle in a uniform magnetic field and electric field. Here's a detailed explanation of the components in the diagram:

1. **Magnetic Field (B):** 
   - Represented by 'X's arranged in a grid pattern, indicating the magnetic field pointing into the plane of the image. The label "B" on the right side signifies the direction of the magnetic field.

2. **Electric Field (E):**
   - Depicted by vertical arrows pointing downward, representing the direction of the electric field. The label "E" near one of the arrows denotes the field.

3. **Charged Particle:**
   - Shown as a black dot with velocity \( v \) moving horizontally to the right. The arrow labeled "v" indicates the direction of the particle's motion.

4. **Forces Acting on the Particle:**
   - **Magnetic Force (Fm):** Indicated by an upward arrow labeled "Fm," showing the direction of the magnetic force acting on the charged particle.
   - **Electric Force (Fe):** Represented by a downward arrow labeled "Fe," indicating the electric force acting on the particle.

The interaction of these fields and forces influences the particle's trajectory. In this scenario, the charged particle is subjected to both electric and magnetic forces due to its motion through the fields, which could cause it to move in a specific path depending on the charge, velocity, and magnitude of the fields.
Transcribed Image Text:### Diagram Description: The image illustrates the motion of a charged particle in a uniform magnetic field and electric field. Here's a detailed explanation of the components in the diagram: 1. **Magnetic Field (B):** - Represented by 'X's arranged in a grid pattern, indicating the magnetic field pointing into the plane of the image. The label "B" on the right side signifies the direction of the magnetic field. 2. **Electric Field (E):** - Depicted by vertical arrows pointing downward, representing the direction of the electric field. The label "E" near one of the arrows denotes the field. 3. **Charged Particle:** - Shown as a black dot with velocity \( v \) moving horizontally to the right. The arrow labeled "v" indicates the direction of the particle's motion. 4. **Forces Acting on the Particle:** - **Magnetic Force (Fm):** Indicated by an upward arrow labeled "Fm," showing the direction of the magnetic force acting on the charged particle. - **Electric Force (Fe):** Represented by a downward arrow labeled "Fe," indicating the electric force acting on the particle. The interaction of these fields and forces influences the particle's trajectory. In this scenario, the charged particle is subjected to both electric and magnetic forces due to its motion through the fields, which could cause it to move in a specific path depending on the charge, velocity, and magnitude of the fields.
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