How to find the coefficient of Friction?

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Homework Help Overview

The problem involves a cardboard box sliding across a level floor, with the goal of determining the coefficient of friction based on its mass, distance slid, and time taken to stop. The subject area pertains to dynamics and friction in physics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the forces acting on the box as represented in a free-body diagram, including gravity, normal force, and friction. Questions arise regarding the calculation of deceleration and the relationship between initial kinetic energy and friction energy loss.

Discussion Status

The discussion is ongoing, with participants exploring different methods to find deceleration and the coefficient of friction. Some guidance has been offered regarding applying the forces equation and using kinematics to find deceleration, but no consensus has been reached on a specific approach.

Contextual Notes

Participants note that deceleration is not explicitly given, and there is a focus on using available data such as time, distance, and final velocity to derive necessary values.

luxford
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Homework Statement



A small 15 kg cardboard box is thrown across a level floor. It slides a distance of 7.0 m, stopping in 3.3 s. What is the coefficient of friction between the box and the floor?

Homework Equations





The Attempt at a Solution



I didn't know how to do it. I just drew a free-body diagram of it. :|
 
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What forces do you have in your FBD? What is the deceleration (a) according to your forces equation and (b) according to the given data?
 
The forces I have on my FBD is the force of gravity, normal force, and force of friction.

As for deceleration, it is not given...
 
luxford said:
The forces I have on my FBD is the force of gravity, normal force, and force of friction.

As for deceleration, it is not given...
You know the equation ƩF=ma, right? Apply this in the horizontal and vertical directions to obtain two equations.
 
luxford said:

Homework Statement



A small 15 kg cardboard box is thrown across a level floor. It slides a distance of 7.0 m, stopping in 3.3 s. What is the coefficient of friction between the box and the floor?

Homework Equations





The Attempt at a Solution



I didn't know how to do it. I just drew a free-body diagram of it. :|

What's the average speed? So then what's the initial speed?
Then, can we equate initial k.e. with friction energy loss to compute the friction coefficient?
 
luxford said:
The forces I have on my FBD is the force of gravity, normal force, and force of friction.

As for deceleration, it is not given...

If you have t, d, and vf, you can find the deceleration using kinematics.

Since you have all three of these, finding deceleration is quite simple.

d=vft+\frac{1}{2}at2
 

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