How Does Friction Impact the Distance an Object Travels Up an Inclined Plane?

[djdato]

Homework Statement

30g object slides on slope of 20 degrees, with kinetic coefficient of .20. Object is launched up from a spring at bottom of slope, which was compressed by 10 cm. Spring constant = 25 N/m. Find the total distance object travels up slope before reversing direction.

Homework Equations

i don't know where to start with this. I tried equations of energy according to conservation of energy.

The Attempt at a Solution

initial: .5kx^2
final: mgh
therefore mgh=.5kx^2
Then i rearranged for height.
h=(kx^2/2mg)

however, i think this is the wrong thing to do. I havn't even used the friction coefficient.
Please help me get on the right track with this problem.

Thanks in advance.

 

[TMFKAN64]

The friction force does work on your object as it travels! How much work does it do, and how should you add this work into your energy equation?