FYKOS Year 33 Series 6 Problem 2 — under pressure · FYKOS 33 #33.6.2

Physics · mechanics · thermodynamics

Problem

The water level in a bathtub is at a height

15.0\,\mathrm{cm}

. The plug is a conical frustum which perfectly fits into the hole at the base of the bathtub. The radii of its bases are

16.0\,\mathrm{mm}

and

15.0\,\mathrm{mm}

and the mass of the plug is

11.0\,\mathrm{g}

. What force does the bottom of the bath exert on the plug? Assume that the drain pipe below contains air at atmospheric pressure.