Calculating Coefficient of Kinetic Friction: Object Sliding on a Level Surface

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Homework Help Overview

The problem involves an object sliding on a level surface with a constant negative acceleration, and the goal is to determine the coefficient of kinetic friction between the object and the floor. The context is rooted in dynamics and frictional forces.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between acceleration and force, with some attempting to apply Newton's second law. Questions arise regarding the definition and implications of the coefficient of friction, as well as the validity of negative values for this coefficient.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the equations involved. Some guidance has been offered regarding the setup of forces, but there is no explicit consensus on the correct approach or interpretation of the coefficient of friction.

Contextual Notes

There is a noted uncertainty about the meaning of the coefficient of friction and its potential to be negative, which is being questioned by participants. Additionally, the assumptions regarding forces acting on the object are under scrutiny.

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Homework Statement


An object slides on a level surface in the positive x direction. It slows and comes to a stop with a constant acceleration of -2.45 m/s/s. What is the coefficient of kinetic friction between the object and the floor?


Homework Equations



a = F/m



The Attempt at a Solution


I have been sitting at my desk for about 15 minutes and am still scratching my head. I also don't even know what a "coefficient of friction" is, my teacher just told us that it is mu. What does it mean/represent?

However, I tried using a = F/m but don't know where to go from here...is that the right start? Thanks in advance
 
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Wait wait so it would be -2.45 = F / m

F = mgu

-2.45 = mgu/m

-2.45 = 9.8(u)

u = -0.25.

Is the correct process?
 
I believe the above work is correct ecept that I don't believe its possible to have a negative coeffient of friction. Since friction itself is a retarding force, its inherently negative, thus it would look like (-2.45m)= -F thus the acceleration become positive.
 
jmb88korean said:
I believe the above work is correct ecept that I don't believe its possible to have a negative coeffient of friction. Since friction itself is a retarding force, its inherently negative, thus it would look like (-2.45m)= -F thus the acceleration become positive.

Yeah, but here is the more correct way

T - Ffrc = ma

But nothing is pulling it so T = 0

0 - Ffric = ma

Since a is negative we have

-Ffric = m(-a)
 

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