"an ice cube of mass 50.0 g can slide without friction up and down a 25.0 degree slope. the ice cube is pressed against a spring at the bottom of the slope, compressing the spring 0.100 m . the spring constant is 25.0 n/m . when the ice cube is released, how far will it travel up the slope before reversing direction? "

The elastic potential energy is equal to the gravitational potential energy
 If we set 0 GPE at max spring compression, then
 total E = U = ½kx² = ½ * 25N / m * (0.1m) ² = 0.125 J
 At max height,
 GPE = 0.125 J = mgh = 0.05kg * 9.8m / s² * h
 h = 0.255 m
 Along the slope, that's a distance of
 d = 0.255m / sin25º
 d = 0.604 m
 It's possible they want the distance from the end of the spring - that's 0.504 m

Iwould sure like to answer your question but i honestly just don’t know