(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A uniform ball of radiusr = 0,3mswim in the water so the half of the ball is in the water. What is the workWrequired to pull out the ball from the water. (You can assume that the density of the water is ρ = 1000 kg/m³, the acceleration of gravity g = 9,81 m/s², ignore air and fluid resistance).

2. Relevant equations

- According to hydrostatic law and equilibrium's law the weight forceG = mgis equal to lift forceF = Vρg, V is volume of the ball inside the water,V =2/3r³π.

G =2/3r³πρg .

- Work W isW = ʃ[mg - ρg(πh²R - 1/3πh³)]dh, (h =0 to h = r)

Expressionπh²R - 1/3πh³represent the volume of ball immersed in water during the process of pulling out the ball.

3. The attempt at a solution

-W =7/12r³πρgr.

W = 145,54J.

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# Homework Help: The Hydrostatic problem

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