A 0.50 kg block is pushed against a 400 N/m spring, compressing it 22 cm. When the block is released, it moves along a frictionless horizontal surface and then up an incline (which has friction). The angle of the incline is 37 degrees and the coefficient of kinetic friction is 0.25. Use the conservation of energy law to find the maximum compression of the spring when the block returns to it. Wother = ΔKE + ΔUg + ΔUel KE = 0.5 * m * v2 Ug = m*g*y Uel = -0.5 * k * compression2 This is actually a multi-step problem and it is the last part that I am stuck on. I have found the speed of the block just after it leaves the spring (6.2 m/s), the distance up the ramp that the block travels (2.47 m), and the height of the ramp where the block stops and begins to slide down again (1.48 m). To find the maximum compression of the spring when it slides back down the ramp, I am trying to find the compression variable from the Uel equation, correct? I can solve for ΔUg, plug in k for the ΔUel equation and leave the compression as the variable I am trying to find. But for the ΔKE I don't know how to find the velocity. It is not the same as I found for when the block leaves the spring intially, right?