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

2491.24407 kg/m³

Step-by-step explanation:

Weight of water displaced is given by

`28.4-17=11.4\ N`

Mass of water displaced

`(11.4)/(9.81)=1.16207\ kg`

Volume of water is given by

`V=(m)/(\rho)\\\Rightarrow V=(1.16207)/(1000)\\\Rightarrow V=1.16207* 10^(-3)\ m^3`

The volume of water displaced is the volume of the statue

Ceramic mass is

`m_c=(28.4)/(9.81)=2.895\ kg`

Density will be

`\rho_c=(m_c)/(V)\\\Rightarrow\rho_c=(2.895)/(1.16207* 10^(-3))\\\Rightarrow \rho_c=2491.24407\ kg/m^3`

The density of the ceramic is 2491.24407 kg/m³