Force meter

We put the statuette on the force meter. The force meter showed a value 25 N. Then we placed the statuette on the force meter completely immersed in the water. The force meter showed a value 17 N. What is the volume of the statuette?

Correct result:

V =  0.8 l

Solution:

$$\begin{gathered} F_1=25\text{ N } \\ {F}_2=17\text{ N } \\ {F}_2=F_1-mg \\ {F}_2=F_1-Vhg \\ g=10{\text{m/s}}^2 \\ h=1\text{ kg/l } \\ V=(F_1-F_2)\mathrm{/}(h\cdot g)=(25-17)\mathrm{/}(1\cdot 10)={\displaystyle \frac{4}{5}}={\displaystyle \frac{4}{5}}\text{ l}=0.8\text{ l} \end{gathered}$$

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