Place a flag on the track, then predict whether the skater will reach it. Test your prediction!
No flag placed yet.
PE = mgh — gravitational potential energy grows with height. KE = ½mv² — the skater speeds up as PE converts to KE going downhill, and slows down going uphill.
Without friction the total energy bar stays perfectly constant — all PE converts to KE and back. With friction, mechanical energy decreases and thermal energy grows, reducing how high the skater can climb.
For the loop track: the skater needs starting height ≥ 2.5 × r above the loop bottom (~4.25 m) to maintain contact at the top. Try h = 4.5 m with μ = 0!