How Far Will a Pizza Box Slide Due to Friction?

AI Thread Summary
The discussion revolves around calculating how far a pizza box will slide after being thrown with a horizontal velocity of 2.0 m/s and encountering a coefficient of kinetic friction of 0.3. The initial calculations yielded an acceleration of -2.94 m/s², leading to a distance of 0.68 m, while the provided answer states it should be 0.068 m. Participants clarify that the mass of the box is not necessary for the calculation, as the frictional force can be determined using the coefficient alone. There is consensus that the calculated distance of 0.68 m is incorrect, as it would imply an unrealistic acceleration. The discussion concludes that the correct sliding distance is indeed 0.068 m.
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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