How far does the block travel up the incline?

[Ahmed Anis]

Homework Statement

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?

Homework Equations

:[/B]
KEf + PEf = KEi + PEi + Work done on the block
KE=(1/2)m(v)^2
PE=mgh
W=F*s*cos(θ)

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

 

[BvU]

Hello Ahmed,

Difficult to guess what went wrong if you don't show your working. Perhaps your calculator was on radians instead of degrees ?
If you want better assistance, show the calculation steps, please.