How Far Will a Box Slide on a Frictional Surface After Being Pushed?

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The problem involves calculating how far a box will slide on a frictional surface after being pushed, with a coefficient of kinetic friction of 0.2 and an initial speed of 3.0 m/s. The user sets up the equation F_applied - F_friction = ma and attempts to use kinematic equations to find the distance. They derive the equation 0 = 3^2 + 2ax, leading to -9 = 2ax, but struggle with too many variables. Ultimately, the user realizes they may have overlooked a crucial step in their calculations. The discussion highlights the importance of correctly applying physics principles to solve motion problems.
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In preparing for a test I came across this problem:

A box is given a push so that it slides across the floor. How far will it go, given that the coefficient of kinetic friction is 0.2 and the push imparts an initial speed of 3.0m/s?

Here's what I've come up with so far:

Fapplied - Ffriction = ma

V0=3, x=?, a=?, Vf=0
Vf^2=Vo^2+2ax;
0=3^2+2ax
-9=2ax

I can't come up with any more equations, and there are currently too many variables to put the equations together. It seems pretty straightforward--perhaps I'm just missing something crucial.
 
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Opps, nvm. :p
 
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