**Problem Statement:**Coefficient of kinetic friction between the mass and the incline is 0.2. Find the minimum work done to slide the mass from the bottom to the top of the incline.**Diagram Explanation:**- The diagram shows a 10 kg block on an inclined plane with an angle of \( \theta = 30^\circ \).- The height of the incline is given as \( h = 4 \, \text{m} \).- A force, \( f_1 = 50 \, \text{N} \), is applied parallel to the incline.- The coefficient of kinetic friction is 0.2.**Physics Concepts:**The work done to move an object up an incline is calculated considering gravitational forces, frictional forces, and any applied force. The work done \( W \) can be expressed as:\[ W = mgh + f_f d \]where:- \( m \) is mass of the object,- \( g \) is the acceleration due to gravity \( (9.8 \, \text{m/s}^2) \),- \( h \) is the height of the incline,- \( f_f \) is the frictional force,- \( d \) is the distance along the incline.The distance \( d \) can be found using trigonometry:- \( d = \frac{h}{\sin(\theta)} \).The frictional force \( f_f \) is calculated as:\[ f_f = \mu_k \cdot N \]Where \( N \) is the normal force.The normal force \( N \) on an incline is:\[ N = mg \cos(\theta) \]Therefore, the work done against friction is:\[ W_{\text{friction}} = f_f \cdot d = \mu_k \cdot mg \cos(\theta) \cdot d \]Finally, add these components to find the total work done to overcome gravity and friction.

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Description: **Problem Statement:**Coefficient of kinetic friction between the mass and the incline is 0.2. Find the minimum work done to slide the mass from the bottom to the top of the incline.**Diagram Explanation:**- The diagram shows a 10 kg block on an inc

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Physics

Coefficient of kinetic friction between the mass and the incline 0.2. Find the minimum work done to slide the mass from the bottom to the top of the incline. F, = 50 N 10 kg h = 4 m 0 = 30

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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