Question

ou need to determine the density of a ceramic statue. If you suspend it from a spring scale, the scale reads 28.4 N. If you then lower the statue into a tub of water so that it is completely submerged, the scale reads 17.0 N. For the steps and strategies involved in solving a similar problem, you may view a Video Tutor Solution. Part A What is the density?

Answer 1

Answer:

2491.24407 kg/m³

Explanation:

Weight of water displaced is given by

$28.4-17=11.4\ N$

Mass of water displaced

$\dfrac{11.4}{9.81}=1.16207\ kg$

Volume of water is given by

$V=\dfrac{m}{\rho}\\\Rightarrow V=\dfrac{1.16207}{1000}\\\Rightarrow V=1.16207\times 10^{-3}\ m^3$

The volume of water displaced is the volume of the statue

Ceramic mass is

$m_c=\dfrac{28.4}{9.81}=2.895\ kg$

Density will be

$\rho_c=\dfrac{m_c}{V}\\\Rightarrow\rho_c=\dfrac{2.895}{1.16207\times 10^{-3}}\\\Rightarrow \rho_c=2491.24407\ kg/m^3$

The density of the ceramic is 2491.24407 kg/m³