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## Homework Statement

A child slides down a slide with a 34 degree incline, and at the bottom her speed is precisely half what it would have been if the slide had been frictionless. Calculate the coefficient of kinetic friction between the slide and the child.

## Homework Equations

[tex]\Sigma[/tex]F = ma

[tex]\Sigma[/tex]F

_{R}=[tex]\mu[/tex]F

_{N}

## The Attempt at a Solution

set x-axis along incline.

Got F

_{N}=mgcos[tex]\theta[/tex] and gsin[tex]\theta[/tex]-gtan[tex]\theta[/tex]cos[tex]\theta[/tex]=a

Now I don't know what to do. I have a = 4.92 m/s

^{2}, but I feel I can't proceed without [tex]\Delta[/tex]x or t....

Thanks in advance!