Box and friction distance problem?

[bman123]

Homework Statement

A box is sliding up an incline that makes an angle of 17.0° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.180. The initial speed of the box at the bottom of the incline is 1.30 m/s. How far does the box travel along the incline before coming to rest?

Homework Equations

Ffr=(mu)(FN)

The Attempt at a Solution

I tried drawing a free body diagram and altering my x-axis to the incline but I can't seem to figure it out. Any help would be greatly appreciated. THanks!

 

[danielakkerma]

Hi there!
It could always help, on your part, to post the drawings/sketches you've already made, so that one gauge where you stand...
Anyhow, you must notice that, as the box struggles against the incline, it is opposed by both gravity, and friction.
You must first find the normal force from the surface, and determine the friction, add to that the component of gravity resisting its movement, and that will be your acceleration.
Kinematics then leads to:
<br /> \large <br /> V^2 = {v_0}^2 + 2as<br />
Where you seek- S, and V is known to be zero, when the object stops.
Try it,
Daniel