How Far Will a Pizza Box Slide Due to Friction?

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Homework Help Overview

The problem involves a pizza box sliding on a floor after being thrown with an initial horizontal velocity. The context includes calculating the distance the box will slide before coming to rest, considering the effects of kinetic friction.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of acceleration using the coefficient of kinetic friction and question the validity of their results compared to a provided answer. There is also inquiry into the necessity of the box's mass in the calculations.

Discussion Status

Some participants express uncertainty about their calculations and the correctness of the answer key. There is a suggestion that the mass may not be necessary for the solution, indicating a potential exploration of different approaches to the problem.

Contextual Notes

Participants are working under the assumption that the coefficient of kinetic friction is the primary factor affecting the box's motion, and there is a noted discrepancy between calculated and expected results.

phizics09
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Homework Statement



A pizza box thrown across the room strikes
the floor with a horizontal velocity of 2.0 m/s.

Homework Equations



If the 300-g box encounters a floor with a
coefficient of kinetic friction of 0.3, how far
will the box slide before coming to rest?


The Attempt at a Solution


So I did it by using the equation a=ug(u is coefficient of kinetic friction), and I got -2.94 m/s^2 as the acceleration. Then, I used a kinematics equation and found d to be 0.68 m, but the answer says its 0.068 m. Is the answer at the back wrong?

Also, I was wondering if the given 300g mass of the box was needed in the solution?
 
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phizics09 said:

Homework Statement



A pizza box thrown across the room strikes
the floor with a horizontal velocity of 2.0 m/s.

Homework Equations



If the 300-g box encounters a floor with a
coefficient of kinetic friction of 0.3, how far
will the box slide before coming to rest?


The Attempt at a Solution


So I did it by using the equation a=ug(u is coefficient of kinetic friction), and I got -2.94 m/s^2 as the acceleration. Then, I used a kinematics equation and found d to be 0.68 m, but the answer says its 0.068 m. Is the answer at the back wrong?

Also, I was wondering if the given 300g mass of the box was needed in the solution?

I like your answer, and you don't need the mass - unless you are unaware of the a = μg arrangement and want to do it from first principles..
 
So my answer is right?
 
phizics09 said:
So my answer is right?

I think so. It would take 3g acceleration to slow from 2 m/s in only 0.068 m.
 

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