FYKOS Year 35 Series 2 Problem 4 — tea tap · FYKOS 35 #35.2.4
Physics · mechanics · electromagnetism
Problem
Matěj wants to pour some tea from a bevarage dispenser into a glass of mass M. He uses one hand to hold the glass and second hand to control the faucet, which changes the volume of the current of the tea. The speed of the outflow v is constant (we can assume that the speed at the contact with the glass is identical). Since Matěj does not want to overstrain himself, he would like to hold the glass with a constant force from the start of the pouring to its end. What is the value of the volume of the current as a function of time that satisfies this requirement? How long will it take to fill the whole glass?