# Homework Help: How far does the block travel up the incline?

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1. Feb 26, 2016

### Ahmed Anis

1. The problem statement, all variables and given/known data
In the figure, a block of mass m is moving along the horizontal frictionless surface with a speed of 5.70 m/s. If the slope is 11.0° and the coefficient of kinetic friction between the block and the incline is 0.260, how far does the block travel up the incline?

2. Relevant equations :
KEf + PEf = KEi + PEi + Work done on the block
KE=(1/2)m(v)^2
PE=mgh
W=F*s*cos(θ)
3. The attempt at a solution
We have KEf = 0, PEi=0
PEf=mgLsin(11)
KEi=(1/2)m(vi)^2 (is vi=5.70 m/s or 5.70*cos(11) ?)
Work done on the object = Wfriction (+Work done by the x component of the weight?)
Wfriction = -μmgcos(11)

I tried all the possibilities (including and excluding the Work done by the x component of the weight) and I tried both values of vi(vi=5.70 m/s and 5.70*cos(11)) but still wrong ... What's wrong? Please help

2. Feb 26, 2016

Hello Ahmed,