(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A person pushes a box across a horizontal floor with an initial velocity of 5.2m/s. The box has a mass of 22kg, and the coefficient of Kinetic friction between the box and the floor is 0.44. How far does the box slide before coming to rest?

2. Relevant equations

μk = FK/FN

Fnetx = FA - FK(assuming that right is positive and left is negative)

V2 - V1 = 2aΔd

3. The attempt at a solution

Rearrange μk = FK/FN to FK = μkFN

Find Normal Force

FN = FG

FG = mg

Get 215.6 for FG which is in turn the normal force.

FK = (0.44)(215.6)

FK = 94.9

Find acceleration

Fnet = FA - FK

ma = FA - FK

And at this point I do not know what to do as I do not have the apllied force.

The plan after that was to rearrange the Kinematic equation into Δd = V2-V1/2a and fill in for that.

Unless of course my Free Body Diagram is wrong and there IS no applied force, although that seems unlikely.

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# Finding out applied force in order to get acceleration

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