A proton moving in a uniform magnetic field with 7₁ = 1.24 x 106 î m/s experiences force F₁ = 1.83 × 10-16 & N. A second proton with v2 = 2.17 x 106 3 m/s experiences F₂ = 3.72 x10-16 N in the same field. ▾ Part A What is the magnitude of B? Express your answer with the appropriate units. ► View Available Hint(s) B = Value Submit Part B 0 = ID ΑΣΦ Units What is the direction of B? Give your answer as an angle measured ccw from the +x-axis. Express your answer in degrees. ► View Available Hint(s) Submit www ? ? O

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Chapter1: Units, Trigonometry. And Vectors
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### Physics Problem: Proton in a Magnetic Field

A proton moving in a uniform magnetic field with velocity \( \vec{v}_1 = 1.24 \times 10^6 \, \hat{\imath} \, \text{m/s} \) experiences a force \( \vec{F}_1 = 1.83 \times 10^{-16} \, \hat{k} \, \text{N} \). A second proton with velocity \( \vec{v}_2 = 2.17 \times 10^6 \, \hat{\jmath} \, \text{m/s} \) experiences a force \( \vec{F}_2 = -3.72 \times 10^{-16} \, \hat{k} \, \text{N} \) in the same field.

#### Part A

**Question:** What is the magnitude of \( \vec{B} \)?

* Express your answer with the appropriate units.
  
  **Hint:** Click "View Available Hint(s)" for additional guidance.

  **Input Box:**
  \[
  B = \text{Value} \, \text{Units}
  \]
  *Submit button*

#### Part B

**Question:** What is the direction of \( \vec{B} \)? 

* Give your answer as an angle measured counterclockwise from the \( +x \)-axis.
  
  **Hint:** Click "View Available Hint(s)" for additional guidance.

  **Input Box:**
  \[
  \theta = \text{}
  \]
  *Submit button*
Transcribed Image Text:### Physics Problem: Proton in a Magnetic Field A proton moving in a uniform magnetic field with velocity \( \vec{v}_1 = 1.24 \times 10^6 \, \hat{\imath} \, \text{m/s} \) experiences a force \( \vec{F}_1 = 1.83 \times 10^{-16} \, \hat{k} \, \text{N} \). A second proton with velocity \( \vec{v}_2 = 2.17 \times 10^6 \, \hat{\jmath} \, \text{m/s} \) experiences a force \( \vec{F}_2 = -3.72 \times 10^{-16} \, \hat{k} \, \text{N} \) in the same field. #### Part A **Question:** What is the magnitude of \( \vec{B} \)? * Express your answer with the appropriate units. **Hint:** Click "View Available Hint(s)" for additional guidance. **Input Box:** \[ B = \text{Value} \, \text{Units} \] *Submit button* #### Part B **Question:** What is the direction of \( \vec{B} \)? * Give your answer as an angle measured counterclockwise from the \( +x \)-axis. **Hint:** Click "View Available Hint(s)" for additional guidance. **Input Box:** \[ \theta = \text{} \] *Submit button*
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