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

Styrofoam has a density of 300 kg/m^{3}. What is the maximum mass that can hang without sinking from a 40-cm-diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere.

2. Relevant equations

F_{B}=p_{o}V_{o}g

Volume of sphere: 4/3 π r^{3}

p=m/V

3. The attempt at a solution

I tried this:

m_{o}/3.35 m^{3}=300 kg/m^{3}

Therefore,

m_{o}=1005 kg

So,

To find the exact amount of mass added to the Styrofoam sphere to sink in water:

1005k + m_{2}/3.35 m^{3}=1000 kg/m^{3}

Therefore:

m_{2}=2345 kg

This is obviously an obscenely large mass to make Styrofoam sink in water. Any help is appreciated.

Best,

Quixote

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# Homework Help: Buoyancy of Spheres: max mass added without sinking

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