**Problem Statement:** A charged body is sliding down an inclined plane in an external magnetic field \( B = 3.5 \, \text{T} \). The body has a charge \( q = -0.25 \, \text{C} \) and a mass \( m = 2.5 \, \text{kg} \). The magnetic field is parallel to the plane and perpendicular to the gravitational field \( g \). The inclination angle of the plane is \( \alpha = 55^\circ \), and the friction coefficient is \( \mu = 0.85 \). Ignore air resistance and take the acceleration due to gravity \( g = 9.81 \, \text{m/s}^2 \). **Objective:** Find the maximum speed the charged body can achieve while sliding down the plane. **Diagram Explanation:** The diagram shows: - An inclined plane with an angle \( \alpha = 55^\circ \). - A block labeled with charge \( q \) and mass \( m \) on the plane. - The gravitational force \( g \) acting downward. - The magnetic field \( B \) indicated as being perpendicular to \( g \) and parallel to the plane surface. **Solution:** The maximum speed, \( v \), is calculated to be \( 18.077 \, \text{m/s} \).

Problem Statement: A charged body is sliding down an inclined plane in an external magnetic field \( B = 3.5 \, \text{T} \). The body has a charge \( q = -0.25 \, \text{C} \) and a mass \( m = 2.5 \, \text{kg} \). The magnetic field is parallel to the plane and perpendicular to the gravitational field \( g \). The inclination angle of the plane is \( \alpha = 55^\circ \), and the friction coefficient is \( \mu = 0.85 \). Ignore air resistance and take the acceleration due to gravity \( g = 9.81 \, \text{m/s}^2 \). Objective: Find the maximum speed the charged body can achieve while sliding down the plane. Diagram Explanation: The diagram shows: - An inclined plane with an angle \( \alpha = 55^\circ \). - A block labeled with charge \( q \) and mass \( m \) on the plane. - The gravitational force \( g \) acting downward. - The magnetic field \( B \) indicated as being perpendicular to \( g \) and parallel to the plane surface. Solution: The maximum speed, \( v \), is calculated to be \( 18.077 \, \text{m/s} \).

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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