Question
A solid sphere of radius 5cm floats in water. If a maximum load of 0.1kg can be put on it without wetting the load, find the specific gravity of the material of the sphere.
✓
Answer
$\text{w}_1+\text{w}_2=\text{u}\cdot$
$\Rightarrow\text{mg}+\text{v}\times\rho_\text{s}\times\text{g}=\text{v}\times\rho_\text{w}\times\text{g}$
$\Rightarrow1-\rho_\text{s}=0.19$
$\Rightarrow\rho_\text{s}=1-(0.19)=0.8\text{gm}/\text{cc}$
(where $\rho_\text{s}$ = density of sphere in gm/cc)
so, specific gravity of the material is 0.8.
$\Rightarrow\text{mg}+\text{v}\times\rho_\text{s}\times\text{g}=\text{v}\times\rho_\text{w}\times\text{g}$
$\Rightarrow1-\rho_\text{s}=0.19$
$\Rightarrow\rho_\text{s}=1-(0.19)=0.8\text{gm}/\text{cc}$
(where $\rho_\text{s}$ = density of sphere in gm/cc)
so, specific gravity of the material is 0.8.
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