Halliday, Resnick & Walker — Potential Energy and Conservation of Energy: Problem 64

64 In Fig. 8-46, a block is released from rest at height $d = 40 \text{ cm}$ and slides down a frictionless ramp and onto a first plateau, which has length $d$ and where the coefficient of kinetic friction is $0.50$. If the block is still moving, it then slides down a second frictionless ramp through height $d/2$ and onto a lower plateau, which has length $d/2$ and where the coefficient of kinetic friction is again $0.50$. If the block is still moving, it then slides up a frictionless ramp until it (momentarily) stops. Where does the block stop? If its final stop is on a plateau, state which one and give the distance $L$ from the left edge of that plateau. If the block reaches the ramp, give the height $H$ above the lower plateau where it momentarily stops.