Advanced — Bead on WireHardQuestion 30478
Question
A bead slides on a frictionless wire from height h to height 0 (along any shape of wire). Speed at the bottom depends on:
- AThe exact shape of the wire
- BOnly the height difference hCorrect
- CThe mass of the bead
- DThe length of the wire
Correct answer
Only the height difference h
Explanation
Only gravity (conservative) does work. By conservation of energy: v = √(2gh), independent of path shape or wire length.