FYKOS Year 36 Series 2 Problem 1 — water channel · FYKOS 36 #36.2.1

Physics · mechanics

Problem

Water flows through a water channel of rectangular cross-section, and width

d=10\,\mathrm{cm}

. A leaf falls on its surface and starts moving with a velocity of

60\,\mathrm{cm\cdot s^{-1}}

. The height of the water in the channel is

h=1.3\,\mathrm{cm}

. Estimate how long it will take to fill up a

50\,\mathrm{l}

bucket. Comment on the assumptions used in comparison with the real situation.