3. A proton enters a uniform .850 T magnetic field directed perpendicular to its motion. You measure the proton's path on a photograph and find that it follows a circular arc of radius 7.30 cm. How fast was the proton moving? Draw a diagram of the proton path and show directions of 3 vectors: magnetic field, force, and velocity.

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

A proton enters a uniform magnetic field of magnitude 0.850 T, which is directed perpendicular to its motion. Upon measuring the proton's trajectory from a photograph, it is observed that the proton follows a circular arc with a radius of 7.30 cm. The problem requires determining the speed of the proton.

**Task:**

1. Calculate the speed of the proton given its path and magnetic field conditions.
2. Draw a diagram illustrating the proton's path, and depict the directions of three vectors:
   - Magnetic field
   - Force
   - Velocity

In the accompanying diagram (not visible here), you would see the proton moving in a circular path due to the magnetic force acting as a centripetal force. The magnetic field vector is perpendicular to the velocity of the proton, while the force vector is directed towards the center of the circular path.
Transcribed Image Text:**Physics Problem: Proton Motion in a Magnetic Field** A proton enters a uniform magnetic field of magnitude 0.850 T, which is directed perpendicular to its motion. Upon measuring the proton's trajectory from a photograph, it is observed that the proton follows a circular arc with a radius of 7.30 cm. The problem requires determining the speed of the proton. **Task:** 1. Calculate the speed of the proton given its path and magnetic field conditions. 2. Draw a diagram illustrating the proton's path, and depict the directions of three vectors: - Magnetic field - Force - Velocity In the accompanying diagram (not visible here), you would see the proton moving in a circular path due to the magnetic force acting as a centripetal force. The magnetic field vector is perpendicular to the velocity of the proton, while the force vector is directed towards the center of the circular path.
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