Solving a Physics Problem: Finding the Distance Traveled Up a Slope

[splac6996]

Homework Statement

A 50g ice cube can slide without friction up and down a 30 degree slope, compressing the spring 10cm. The spring constant is 25N/m. When the ice cube is released, what distance will it travel up the slope before reversing direction.

Homework Equations

I am not sure where to start on this problem I thought that I should use my force equations to resolve the weiight force but I don't know where to go after that.

The Attempt at a Solution

 

[Astronuc]

A 50g ice cube can slide without friction up and down a 30 degree slope, so conservation of energy applies since no dissipative force (friction) exists.

What is the stored energy in the spring when it is deflected 10 cm (0.1 m). When the spring deflects back to no deflection, all that 'stored' spring energy is transformed into the blocks kinetic energy. Then the block decelerates moving up the the ramp and gains elevation. When the block stops, what has happened to the energy?

 

[splac6996]

so by using Force = -k\Deltax
I get a spring force of 2.5. So I think now I should be able to resolve the forces in the x and y direction and from there use my kinematic equation to find the total distance. is that right