### Magnetic Force on a Proton A proton moves in a magnetic field \(\vec{B} = 0.42 \, \hat{\imath} \, \text{T}\) with a speed of \(1.4 \times 10^7 \, \text{m/s}\) in the directions shown in the figure. **Figure 1 Description:** - **Diagram (a):** - The magnetic field \(\vec{B}\) is directed along the positive \(x\)-axis. - The velocity \(\vec{v}\) of the proton makes a 45-degree angle with the positive \(y\)-axis in the \(y\)-\(z\) plane. - **Diagram (b):** - The magnetic field \(\vec{B}\) is still directed along the positive \(x\)-axis. - The velocity \(\vec{v}\) of the proton is along the positive \(z\)-axis. ### Part A In figure (a), what is the magnetic force \(\vec{F}\) on the proton? Give your answer in component form. - Enter the \(x\), \(y\), and \(z\) components of the force separated by commas in the box provided. \[ F_x, F_y, F_z = \, \text{N} \] \[ \text{Submit Button} \quad \text{Request Answer Button} \] ### Part B In figure (b), what is the magnetic force \(\vec{F}\) on the proton? Give your answer in component form. - Enter the \(x\), \(y\), and \(z\) components of the force separated by commas in the box provided. \[ F_x, F_y, F_z = \, \text{N} \] \[ \text{Submit Button} \quad \text{Request Answer Button} \]

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### Magnetic Force on a Proton

A proton moves in a magnetic field \(\vec{B} = 0.42 \, \hat{\imath} \, \text{T}\) with a speed of \(1.4 \times 10^7 \, \text{m/s}\) in the directions shown in the figure. 

**Figure 1 Description:**

- **Diagram (a):** 
  - The magnetic field \(\vec{B}\) is directed along the positive \(x\)-axis.
  - The velocity \(\vec{v}\) of the proton makes a 45-degree angle with the positive \(y\)-axis in the \(y\)-\(z\) plane.

- **Diagram (b):** 
  - The magnetic field \(\vec{B}\) is still directed along the positive \(x\)-axis.
  - The velocity \(\vec{v}\) of the proton is along the positive \(z\)-axis.

### Part A

In figure (a), what is the magnetic force \(\vec{F}\) on the proton? Give your answer in component form.

- Enter the \(x\), \(y\), and \(z\) components of the force separated by commas in the box provided.

\[ F_x, F_y, F_z = \, \text{N} \]

\[ \text{Submit Button} \quad \text{Request Answer Button} \]

### Part B

In figure (b), what is the magnetic force \(\vec{F}\) on the proton? Give your answer in component form.

- Enter the \(x\), \(y\), and \(z\) components of the force separated by commas in the box provided.

\[ F_x, F_y, F_z = \, \text{N} \]

\[ \text{Submit Button} \quad \text{Request Answer Button} \]
Transcribed Image Text:### Magnetic Force on a Proton A proton moves in a magnetic field \(\vec{B} = 0.42 \, \hat{\imath} \, \text{T}\) with a speed of \(1.4 \times 10^7 \, \text{m/s}\) in the directions shown in the figure. **Figure 1 Description:** - **Diagram (a):** - The magnetic field \(\vec{B}\) is directed along the positive \(x\)-axis. - The velocity \(\vec{v}\) of the proton makes a 45-degree angle with the positive \(y\)-axis in the \(y\)-\(z\) plane. - **Diagram (b):** - The magnetic field \(\vec{B}\) is still directed along the positive \(x\)-axis. - The velocity \(\vec{v}\) of the proton is along the positive \(z\)-axis. ### Part A In figure (a), what is the magnetic force \(\vec{F}\) on the proton? Give your answer in component form. - Enter the \(x\), \(y\), and \(z\) components of the force separated by commas in the box provided. \[ F_x, F_y, F_z = \, \text{N} \] \[ \text{Submit Button} \quad \text{Request Answer Button} \] ### Part B In figure (b), what is the magnetic force \(\vec{F}\) on the proton? Give your answer in component form. - Enter the \(x\), \(y\), and \(z\) components of the force separated by commas in the box provided. \[ F_x, F_y, F_z = \, \text{N} \] \[ \text{Submit Button} \quad \text{Request Answer Button} \]
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