A particle with mass 1.23x10 kg and charge of +1.42x10-8 C has, at a given instant, a velocity of 2.90x104 m/s along the +y-axis, as shown in (Eigure 1). Part A What is the magnitude of the particle's acceleration produced by a magnetic field of magnitude 1.41 T in the x-y plane, directed at an angle of 45.0° counterclockwise from the +xz-axis? Express your answer with the appropriate units. a Value Submit Request Answer Part B O+-direction What is the direction of the particle's acceleration? 10000 с --direction O+y-direction -y-direction O +2-direction 3 O-z-direction Submit Units Request Answer ?

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The figure shows a coordinate system with three axes labeled \(x\), \(y\), and \(z\). At the origin, there is a red circle with a positive sign, indicating a positive charge. 

Two vectors are depicted:

1. \(\vec{v}\) (velocity vector) is shown as a green arrow pointing along the positive \(y\)-axis.
2. \(\vec{B}\) (magnetic field vector) is represented by a blue arrow. This vector is in the \(xy\)-plane at a \(45.0^\circ\) angle above the positive \(x\)-axis.

The image is illustrating the orientation of the velocity of a charged particle and a magnetic field in a three-dimensional space.
Transcribed Image Text:The figure shows a coordinate system with three axes labeled \(x\), \(y\), and \(z\). At the origin, there is a red circle with a positive sign, indicating a positive charge. Two vectors are depicted: 1. \(\vec{v}\) (velocity vector) is shown as a green arrow pointing along the positive \(y\)-axis. 2. \(\vec{B}\) (magnetic field vector) is represented by a blue arrow. This vector is in the \(xy\)-plane at a \(45.0^\circ\) angle above the positive \(x\)-axis. The image is illustrating the orientation of the velocity of a charged particle and a magnetic field in a three-dimensional space.
A particle with mass \(1.23 \times 10^{-3}\) kg and charge of \(+1.42 \times 10^{-8}\) C has, at a given instant, a velocity of \(2.90 \times 10^4\) m/s along the +y-axis, as shown in (Figure 1).

- **Part A**
  
  What is the magnitude of the particle's acceleration produced by a magnetic field of magnitude 1.41 T in the x–y plane, directed at an angle of 45.0° counterclockwise from the +x-axis?  
  Express your answer with the appropriate units.
  
  \[
  a = \boxed{\text{Value}} \, \, \boxed{\text{Units}}
  \]
  
  [Submit] [Request Answer]

- **Part B**
  
  What is the direction of the particle's acceleration?

  - ☐ +x-direction
  - ☐ -x-direction
  - ☐ +y-direction
  - ☐ -y-direction
  - ☐ +z-direction
  - ☐ -z-direction

  [Submit] [Request Answer]
Transcribed Image Text:A particle with mass \(1.23 \times 10^{-3}\) kg and charge of \(+1.42 \times 10^{-8}\) C has, at a given instant, a velocity of \(2.90 \times 10^4\) m/s along the +y-axis, as shown in (Figure 1). - **Part A** What is the magnitude of the particle's acceleration produced by a magnetic field of magnitude 1.41 T in the x–y plane, directed at an angle of 45.0° counterclockwise from the +x-axis? Express your answer with the appropriate units. \[ a = \boxed{\text{Value}} \, \, \boxed{\text{Units}} \] [Submit] [Request Answer] - **Part B** What is the direction of the particle's acceleration? - ☐ +x-direction - ☐ -x-direction - ☐ +y-direction - ☐ -y-direction - ☐ +z-direction - ☐ -z-direction [Submit] [Request Answer]
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