Conservation of Energy in a Spring-Powered Glider on an Incline

[student34]

Homework Statement

A 0.0900 kg glider is pushed up a 40.0° frictionless incline by a spring. The spring's constant is k = 640 N/m with negligible mass. The glider reaches a distance of 1.80 m along the inclined track after losing contact with the spring and then slides back down. What distance is the spring originally compressed?

Homework Equations

0.5kX2^2 - 0.5kX1^2 = 0.5mV2^2 - 0.5mV1^2

The Attempt at a Solution

I have absolutely no idea how we can possibly know the distance of the spring's comression. There does not seem to be enough information here.

 

[tms]

What can you say about the potential and kinetic energy of the glider when it reaches its highest point? Where did that energy come from?

 

[student34]

What can you say about the potential and kinetic energy of the glider when it reaches its highest point? Where did that energy come from?

Ahhhh, I see, thanks.