Styrofoam has a density of 300kg/m3
What is the maximum mass that can hang without sinking from a 80 cm diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere.
Solution:-
Volume of Styrofoam sphere
where r=80/2=40cm=0.40m
mass of Styrofoam sphere,
Let m be the max mass that can be hang from the sphere.
In floating condition-
total weight=upthrust force
=>(M+m)g=weight of displaced water
=>(M+m)g=V×water density×g
=>M+m=V×water density
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