a. A block of mass m can slide up and down a frictionless slope tilted at angle θ. The block is pressed against a spring at the bottom of the slope, compressing the spring (with spring constant k) by Δx, then released. Find an expression for the block’s maximum height h above its starting point.

b. A 50 g ice cube can slide up and down a frictionless 30° slope. At the bottom, a spring with spring constant 25 N/m is compressed 10 cm and used to launch the ice cube up the slope. How high does it go?