(adsbygoogle = window.adsbygoogle || []).push({}); 1. When the hot water in a certain upstairs bathroom is turned on, a series of 18 "ticks" is heard as the copper hot-water pipe slowly heats up and increases in length. The pipe runs vertically from the hot-water heater in the basement, through a hole in the floor 5 m above the water heater. The "ticks" are caused by the pipe sticking in the hole in the floor until the tension in the expanding pipe is great enough to unstick the pipe, enabling it to jump a short distance through the hole. If the hot-water temperature is 50°C and room temperature is 20°C

This is a two part problem:

1st is a) the distance the pipe moves with each "tick"

Coefficient of Expansion is 17 x 10 ^-6 [(°C)^-1]

So to solve this all I did is following:

17 x 10 ^-6 [(°C)^-1] by 5 by 50°C = a

17 x 10 ^-6 [(°C)^-1] by 5 by 20°C = b

and then (a - b)/18 = 0.000146 meters

So here comes my question:

b) the force required to unstick the pipe if the cross-sectional area of the copper in the pipe is 3 x 10-5 m^2

I don't have an idea how to even approach this problem. If anyone can give me any clue it would be great

Thank you

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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