### Understanding Proton Trajectories in Uniform Magnetic Fields**Problem Statement:**A proton is initially moving west at a speed of \(1.05 \times 10^6 \, \text{m/s}\) in a uniform magnetic field of magnitude \(0.295 \, \text{T}\) directed vertically upward. Describe in detail the proton’s trajectory, including its shape and orientation.**Key Parameters:**- Initial speed of the proton: \(1.05 \times 10^6 \, \text{m/s}\)- Magnetic field strength: \(0.295 \, \text{T}\)- Direction of magnetic field: Vertical (upward)**Tasks:**1. Determine the radius of the path.2. Describe the proton's trajectory.**Input Fields:**1. **The radius of the path:** [Insert Input Box]2. **The proton’s trajectory:** [Dropdown Menu - Select from options]### Solution Approach**Step 1: Understanding the Trajectory**- When a charged particle such as a proton moves in a uniform magnetic field perpendicular to its velocity, it experiences a centripetal force that makes it move in a circular path.- The trajectory of the proton in this case will be a circle perpendicular to the magnetic field, with the plane of the circle oriented horizontally.**Step 2: Calculating the Radius**- The radius of the path \(r\) can be found using the formula \(r = \frac{mv}{qB}\), where: - \(m\) is the mass of the proton (\(1.67 \times 10^{-27} \, \text{kg}\)) - \(v\) is the velocity of the proton (\(1.05 \times 10^6 \, \text{m/s}\)) - \(q\) is the charge of the proton (\(1.6 \times 10^{-19} \, \text{C}\)) - \(B\) is the magnetic field strength (\(0.295 \, \text{T}\))Insert these values to calculate the radius.**Step 3: Describing the Trajectory**- The proton moves in a circular trajectory in a plane perpendicular to the direction of the magnetic field.- The proton's motion will be clockwise or counterclockwise depending on the direction of the magnetic force applied.The detailed explanation includes

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A proton is initially moving west at a speed of 1.05 x 106 m/s in a uniform magnetic field of magnitude 0.295 T directed vertically upward. Describe in detail the proton's trajectory, including its shape and orientation. the radius of the path the proton's trajectory --Select---

A proton is initially moving west at a speed of 1.05 x 106 m/s in a uniform magnetic field of magnitude 0.295 T directed vertically upward. Describe in detail the proton's trajectory, including its shape and orientation. the radius of the path the proton's trajectory --Select---

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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