A 0.50 kg block, starting at rest, slides down a 30.0° incline with kinetic friction coefficient 0.23 (the figure below). After sliding 83 cm down the incline, it slides across a frictionless horizontal surface and encounters a spring (k = 33 N/m).


(a) What is the maximum compression of the spring?
cm
(b) After the compression of part (a), the spring rebounds and shoots the block back up the incline. How far along the incline does the block travel before coming to rest?
cm

We won't do your homework for you, though we will provide guidance if you're stuck, and will review answers to let you know if (we think) you're correct.

If you're looking for guidance, start by trying to figure out the velocity of the block when it reaches the bottom of the slope. You should be able to convert this into an energy. The rest is fairly straightforward.