Kevin Zhou — USAPhO Practice — Mechanics Problem 3 · Kevin Zhou #USAPhOM.3
Physics · mechanics
Problem
Suppose that the collisions are instead slightly inelastic. After a long time, how high does
each mass rise in its motion, and qualitatively what is their relative position?
Question A2
A U-tube has vertical arms of radii r and 2r, connected by a horizontal tube of length l whose
radius increases linearly from r to 2r. The U-tube contains liquid up to height h in each arm. The
liquid is set oscillating, and at a given instant the liquid in the narrower arm is at a distance y
above the equilibrium level.