### Educational Analysis: Work and Friction on a Rough Surface**Figure Explanation:**The diagram illustrates a box of mass \( m = 54.0 \, \text{kg} \) being pushed across a rough surface. The box initially at rest is moved a distance \( d = 60.0 \, \text{m} \) by an applied force \( F_A = 240 \, \text{N} \) which acts at an angle of \( 30.0^\circ \) below the horizontal. The coefficient of kinetic friction between the floor and the box is \( 0.100 \).**Tasks and Solutions:**(a) **Work Done by the Applied Force** \[ W_A = 12470 \, \text{J} \](b) **Work Done by the Force of Gravity** \[ W_g = 0 \, \text{J} \](c) **Work Done by the Normal Force** \[ W_N = 0 \, \text{J} \](d) **Work Done by the Force of Friction** \[ W_F = 680 \, \text{J} \] *Note: Carefully consider the direction of the force of friction relative to the displacement.*(e) **Calculate the Net Work on the Box** Calculate the total work by summing up the individual works: \[ W_\text{Net} = \boxed{86} \, \text{J} \] *This value is incorrect. Re-evaluate the forces and their effects to determine the accurate net work.*(f) **Net Work through Net Force** Find the net force on the box and use it to calculate the work done: \[ W_\text{Net} = \boxed{0} \] *Review a diagram showing forces and their components to verify the net work calculation.***Important Concepts:**- The work done by gravity and normal force is zero because these forces act perpendicular to the displacement.- Friction opposes motion; its work calculation must incorporate direction and magnitude adjustments.- The angle of applied force affects the calculation of work done by that force.Ensure you understand vector components, particularly how they influence work done by forces at angles.

Answered: Image /qna-images/answer/9f8bb17e-f471-4068-83f7-6e57c3e25f5e.jpg

As shown in the figure below, a box of mass m = 54.0 kg (initially at rest) is pushed a distance d = 60.0 m across a rough warehouse floor by an applied force of F. = 240 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) 300 Fough surface wwwwwwwwwwww (a) work done by the applied force =12470

As shown in the figure below, a box of mass m = 54.0 kg (initially at rest) is pushed a distance d = 60.0 m across a rough warehouse floor by an applied force of F. = 240 N directed at an angle of 30.0° below the horizontal. The coefficient of kinetic friction between the floor and the box is 0.100. Determine the following. (For parts (a) through (d), give your answer to the nearest multiple of 10.) 300 Fough surface wwwwwwwwwwww (a) work done by the applied force =12470

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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