How Far Does a Box Slide Before Stopping If Pushing Force Is Removed?

[Chandasouk]

Homework Statement

A stockroom worker pushes a box with mass 11.1 kg on a horizontal surface with a constant speed of 3.80 m/s. The coefficient of kinetic friction between the box and the surface is 0.170.

Homework Equations

F=ma
w=mg


What horizontal force must be applied by the worker to maintain the motion?

I found that the Fapplied is 18.5N


If the force calculated in part A is removed, how far does the box slide before coming to rest?

This question I'm having problems on. Here is what I did

18.5N = 11.1kga

a=1.66666667 m/s^2

Then I used the equation of

Vfinal^2=Vinitial^2+2a$$\Delta$$x

$$\Delta$$x = 0 - 14.44m/s
--------------
2(1.66666667)


$$\Delta$$x=4.3m ?

 

[rock.freak667]

Yes that is correct.

Also you could have used conservation of energy.

Note that your a=1.66666667 m/s² should really be a=-1.66666667 m/s²

But I believe you put it as negative while working it out, so just remember to write the - sign else your teacher might give you it wrong.