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A box that is initially in motion and of mass m = 10.0 kg is pushed across the fl distance d = 7.00 m to the right with an applied force F = 40.0 N. The applied directed at an angle 0 = 25° below the horizontal. If the coefficients of static ar friction between the box and floor are us-0.5 and u-0.3, respectively, find the

A box that is initially in motion and of mass m = 10.0 kg is pushed across the fl distance d = 7.00 m to the right with an applied force F = 40.0 N. The applied directed at an angle 0 = 25° below the horizontal. If the coefficients of static ar friction between the box and floor are us-0.5 and u-0.3, respectively, find the

College Physics
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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**Physics Problem: Box and Forces** A box that is initially in motion and of mass \( m = 10.0 \, \text{kg} \) is pushed across the floor a distance \( d = 7.00 \, \text{m} \) to the right with an applied force \( F = 40.0 \, \text{N} \). The applied force is directed at an angle \( \theta = 25^\circ \) below the horizontal. If the coefficients of static and kinetic friction between the box and floor are \( \mu_s = 0.5 \) and \( \mu_k = 0.3 \), respectively, find the work done by: (a) the applied force \( \mathbf{F} \). (b) the friction force \( \mathbf{f} \). (c) the gravitational force \( \mathbf{F_g} \). (d) Does the box move faster, slower, or at the same speed as it is being pushed across the floor? **Diagram Explanation** The diagram shows a box on a surface labeled with distance \( d \) and several forces acting on it: - Force \( \mathbf{F} \) is shown as a vector pointing downwards at a \( 25^\circ \) angle to the horizontal, indicating the direction of the applied force. - The surface suggests horizontal displacement, and force components parallel and perpendicular to the surface are implied when visualizing the problem.
Transcribed Image Text:**Physics Problem: Box and Forces** A box that is initially in motion and of mass \( m = 10.0 \, \text{kg} \) is pushed across the floor a distance \( d = 7.00 \, \text{m} \) to the right with an applied force \( F = 40.0 \, \text{N} \). The applied force is directed at an angle \( \theta = 25^\circ \) below the horizontal. If the coefficients of static and kinetic friction between the box and floor are \( \mu_s = 0.5 \) and \( \mu_k = 0.3 \), respectively, find the work done by: (a) the applied force \( \mathbf{F} \). (b) the friction force \( \mathbf{f} \). (c) the gravitational force \( \mathbf{F_g} \). (d) Does the box move faster, slower, or at the same speed as it is being pushed across the floor? **Diagram Explanation** The diagram shows a box on a surface labeled with distance \( d \) and several forces acting on it: - Force \( \mathbf{F} \) is shown as a vector pointing downwards at a \( 25^\circ \) angle to the horizontal, indicating the direction of the applied force. - The surface suggests horizontal displacement, and force components parallel and perpendicular to the surface are implied when visualizing the problem.
Expert Solution
Step 1

Given:-

The mass  of the block m = 10 kg 

The distance d = 7.0 m 

The applied force F = 40 N at the angle of 25o with horizontal. 

Find:-

The work done

a) by the applied force 

b) The friction force 

c) The gravitational force 

d) Does the box move faster, slower, or at the same speed as it is being pushed across the floor?

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